Patent Publication Number: US-6665348-B1

Title: System and method for interoperable multiple-standard modulation and code selectable Feher&#39;s GMSK, enhanced GSM, CSMA, TDMA, OFDM, and third-generation CDMA, W-CDMA and B-CDMA

Description:
RELATED APPLICATIONS 
     This application claims the benefit under 35 U.S.C. 119(e) of U.S. Provisional Patent Application Ser. No. 60/095,943 entitled “FQPSK TRANSCEIVERS” filed Aug. 10, 1998 [PP3]; and incorporated herein by reference. 
     Other related U.S. Patent Applications are U.S. Utility patent application Ser. No. 09/111,723 [PP1] filed Jul. 8, 1998 and entitled “FMOD TRANSCEIVERS INCLUDING CONTINUOUS AND BURST OPERATED TDMA, EDMA, SPREAD SPECTRUM CDMA, WCDMA AND CSMA”; United States Provisional Patent Application Ser. No. 60/098,612 [PP2] entitled “FK MODULATION AND TRANSCEIVERS INCLUDING CLOCK SHAPING PROCESSORS” filed Aug. 31, 1998; each of which is hereby incorporated by reference. 
    
    
     FIELD OF THE INVENTION 
     This invention relates generally to Bit Rate Agile (BRA) signal processors; more particularly to cross-correlated signal processors for increasing RF spectral and power efficiency of modulated transmitted signals including but not limited to digital binary, digital multilevel, and/or analog modulated signals operated in linearized and in power-efficient Non-Linearly Amplified (NLA) systems; and most particularly to BRA and RF Agile Cascaded Time Constrained Signal (TCS) response and Long Response (LR) filtered and Mis-Matched (MM) filtered (ACM) quadrature phase, frequency and amplitude modulated Transmitter, Receiver, and Transceiver systems having these characteristics and methods and procedures provided thereby. 
     BACKGROUND OF THE INVENTION 
     The most important objectives of wireless communications, broadcasting, telemetry, infrared and in general “radio” systems as well as “wired” systems include: power and bandwidth or spectrum efficiency combined with robust Bit Error Rate (BER) performance in a noisy and/or strong interference environment. These system objectives are specified in numerous systems including wireless communications and cellular systems, satellite systems, mobile and telemetry systems, broadcasting systems, cable, fiber optics and practically all communication transmission systems. A partial list of publications, references, and patents are provided separately below. The cited publications, references [1-23] and patents [P1-P8], and the references within the aforementioned publications contain definitions and descriptions of many terms used in this new patent disclosure and for this reason these conventional terms and definitions will be described only briefly, and highlighted on a case by case basis. 
     Robust or high performance Bit Error Rate (BER) specifications and/or objectives are frequently expressed in terms of the required BER as a function of Energy per Bit (Eb) divided by Noise Density or simply noise (No), that is, by the BER=f(Eb/No) expression. Low cost, reduced size, and compatibility and/or interoperability with other conventional or previously standardized systems, also known as “legacy systems,” are highly desired. Several standardization organizations have adopted modulation techniques such as conventional Binary Phase Shift Keying (BPSK), Quadrature Phase Shift Keying (QPSK), Offset Quadrature Phase Shift Keying (OQPSK) also designated as Staggered Quadrature Phase Shift Keying (SQPSK), and pi/4-QPSK (or π/4-QPSK) techniques including differential encoding variations of the same. See publications [1-23] and referenced patents [P1-P8] for examples and further description. For spectrally or spectrum efficient signaling (such as band-limited signaling), these conventional methods exhibit a large envelope fluctuation of the modulated signal, and thus have a large increase in peak radiated power relative to the average radiated power. For these reasons such systems are not suitable for BRA, robust BER performance NLA operated RF power efficient systems. 
     Within the present state of the technology, for numerous BRA Transceiver applications, it is not practical to introduce band-pass filtering after the NLA power efficient Radio Frequency (RF) final amplifier stage. Here we are using the term “Radio Frequency” (RF) in its broadest sense, implying that we are dealing with a modulated signal. The RF could be, for example, as high as the frequency of infrared or fiber optic transmitters; it could be in the GHz range, for example, between 1 GHz and 300 GHz or more, or it could be in the MHz range, for example, between about 1 MHz and 999 MHz, or just in the kHz range. The term RF could even apply to Quadrature Modulated (abbreviated “QM” or “QMOD”) Base-Band (BB) signals or to Intermediate Frequency (IF) signals. 
     In conventional BPSK, QPSK, OQPSK or SQPSK, and differentially-encoded phase-shift keying systems variants of these systems, such as DBPSK and DQPSK, as well as in pi/4-DQPSK and trellis coded QPSK and DQPSK, large envelope fluctuations require linearized (LIN) or highly linear transmitters including frequency up-converters and RF power amplifiers and may require expensive linear receivers having linear Automatic Gain Control (AGC) circuits. A transmitter NLA reduces the time domain envelope fluctuation of conventional QPSK type of band-limited signals and this reduction of the envelope fluctuation, being a signal distortion, is the cause of spectral restoration or spectral regrowth and the cause of unacceptably high levels of out-of-band spectral energy transmission, also known as out-of-band interference. Additionally, for conventional BPSK, QPSK, and also Quadrature Amplitude Modulation number (QAM) signals, undesired inphase channel (I) to quadrature channel (Q) crosstalk is generated. This crosstalk degrades the BER=f(E b /N o ) performance of the modulated radio transmitter. 
     Experimental work, computer simulation, and theory documented in many recent publications indicates that for band-limited and standardized BPSK, QPSK, OQPSK or SQPSK or pi/4-QPSK, and QAM system specifications, very linear amplifiers are required to avoid the pitfalls of spectral restoration and of BER degradation. Linearized or linear amplifiers are less RF power efficient (during the power “on” state, power efficiency being defined as the transmit RF power divided by DC power), are considerably more expensive and/or having less transmit RF power capability, are larger in size, and are not as readily available as NLA amplifiers. The advantages of NLA over LIN amplifiers are even more dramatic at higher RF frequencies, such as frequencies above about 1 GHz for applications requiring low dc voltage, for example applications or systems operating on size “AA” batteries having only 1.5 Volt dc and for high RF modulated power requirements, for example transmit RF power in the 0.5 Watt to 100 Watt range. 
     Published references [P1 to P8] and [1 to 23] include additional background information. These references include descriptions of binary-state and multiple-state Transmitter/Receiver (Transceiver) or for short (“TR”) systems that are suitable for NLA. In the aforementioned references Processors, Modems, Transmitters, Receivers and Transceivers, suitable for NLA, have been described, defined and designated as first generation of Feher patented Quadrature Shift Keying (FQPSK). For example, in reference [22] published on May 15, 1999 the authors Drs. M. K. Simon and T. Y. Yan of JPL/NASA-Caltech present a detailed study of Unfiltered Feher-Patented Quadrature Phase Shift Keying (FQPSK). In references [1-22] and patents #[P1-P8] numerous first generation FQPSK technology based terms, and terms other than the FQPSK abbreviation/acronym have been used. In addition to FQPSK Transceivers, these first generation of systems have been also described and/or defined as: Feher&#39;s Minimum Shift Keying (FMSK), Feher&#39;s Frequency Shift Keying (FFSK), Feher&#39;s Gaussian Minimum Shift Keying (FGMSK), Feher&#39;s Quadrature Amplitude Modulation (FQAM) and/or Feher&#39;s (F) Modulation/Amplification (FMOD). Additionally terms such as Superposed Quadrature Amplitude Modulation (SQAM), Intersymbol Interference and Jitter Free (IJF) and/or IJF-OQPSK have been also described in Feher et al.&#39;s prior patents and publications, each of which is incorporated by reference. 
     In the cited patents and other references, among the aforementioned abbreviations, acronyms, designation, terms and descriptions the “FQPSK” abbreviation/term has been most frequently used to describe in most generic terms one or more of these afore described Feher or Feher et al. first generation of Non-Linearly Amplified (NLA) inventions and technologies. The 1st generation of FQPSK systems have significantly increased spectral efficiency and enhanced end-to-end performance as compared to other NLA systems. RF power advantages, robust BER performance, and NLA narrow spectrum without the pitfalls of conventional BPSK and DBPSK, QPSK and OQPSK have been attained with these 1 st  generation FQPSK systems and methods. The generic 1 st  generation terms such as FQPSK, as well as other previously mentioned terms/acronyms are retained and used in this description to describe the new BRA, Code Selectable (CS), Modem Format Selectable (MFS) and modulation-demodulation Mis-Matched (MM) filtered architectures and embodiments of “2 nd  generation” FQPSK Transceivers. 
     While these earlier issued patents and publications describe material of a background nature, they do not disclose the original new enhanced performance bit rate agile and modulation agile/selectable technologies disclosed in this new invention. 
     PARTIAL LIST OF RELEVANT LITERATURE 
     Several references, including United States Patents, International or Foreign Patents, publications, conferences proceedings, and other references are identified herein to assist the reader in understanding the context in which the invention is made, some of the distinctions of the inventive structures and methods over that which was known prior to the invention, and advantages over the invention. No representation is made as to whether the contents of the cited references represent prior-art as several of the cited references have a date after the effective filing date (priority date) of this patent application. This list is intended to be illustrative rather than exhaustive. 
     United States Patents 
     [P1] U.S. Pat. No. 5,784,402 Issued July 1998 to Feher 
     [P2] U.S. Pat. No. 5,491,457 Issued February 1996 to Feher 
     [P3] U.S. Pat. No. 4,720,839 Issued January 1988 to Feher et al. 
     [P4] U.S. Pat. No. 4,644,565 Issued February 1987 to Seo/Feher 
     [P5] U.S. Pat. No.4,567,602 Issued January 1986 to Kato/Feher 
     [P6] U.S. Pat. No. 4,350,379 Issued September 1982 to Feher 
     [P7] U.S. Pat. No.4,339,724 Issued July 1982 to Feher 
     [P8] U.S. Pat. No. 3,954,926 Issued March 1976 to Feher 
     Foreign Patent Documents 
     [PF1] Canadian Patent No. 1130871 August 1982 
     [PF2] Canadian Patent No. 1211517 September 1986 
     [PF3] Canadian Patent No. 1265851 February 1990 
     Other Publications 
     1. Feher, K.:  Wireless Digital Communications: Modulation Spread Spectrum . Prentice Hall, 1995. 
     2. Feher, K.:  Digital Communications: Satellite/Earth Station Engineering . Prentice Hall, 1983. Available from Crestone Engineering—Noble Publishing, 2245 Dillard Street, Tucker, Ga. 30084 . 
     3. Feher, K.:  Advanced Digital Communications: Systems and Signal Processing . Prentice Hall, 1987. Available from Crestone Engineering—Noble Publishing, 2245 Dillard Street, Tucker, Ga. 30084. 
     4. Feher, K.:  Digital Communications: Microwave Applications . Prentice Hall 1981. Since 1997 available from Crestone Engineering—Noble Publishing, 2245 Dillard Street, Tucker, Ga. 30084. 
     5. Feher, K. and Engineers of Hewlett-Packard:  Telecommunications Measurements, Analysis, and Instrumentation : Prentice Hall 1987. Since 1997 reprints have been available from Crestone Engineering—Noble Publishing, 2245 Dillard Street, Tucker, Ga. 30084. 
     6. Feher, K., Emmenegger, H.: “FQPSK Use for Electronic News Gathering (ENG), Telemetry and Broadcasting,”  Proc. of the National Association of Broadcasters  NAB&#39;99 Broadcast Engineering Conference, Las Vegas, Apr. 19-22, 1999. 
     7. Feher, K.: “FQPSK Doubles Spectral Efficiency of Operational Systems: Advances, Applications, Laboratory and Initial Air-to-Ground Flight Tests” (Date of Submission: Aug. 14, 1998).  Proc. of the International Telemetry Conference , ITC-98 ITC/USA 98, San Diego, Calif., Oct. 26-29, 1998. 
     8. W. Gao, S. H. Wang, K. Feher: “Blind Equalization for FQPSK and FQAM Systems in Multipath Frequency Selective Fading Channels,”  Proc. Internat. Telemetry Conf . ITC/USA&#39;99, Oct. 25-28, 1999, Las Vegas, Nev. 
     9. Terziev, G., Feher, K.: “Adaptive Fast Blind Feher Equalizers (FE) for FQPSK,”  Proc. Of the International Telemetry Conference  ITC/USA&#39;99, Oct. 25-28, 1999, Las Vegas, Nev. 
     10. Feher, K.: “FQPSK Transceivers Double the Spectral Efficiency of Wireless and Telemetry Systems”  Applied Microwave &amp; Wireless Journal , June 1998. 
     11. Seo, J-S. and K. Feher: “Bandwidth Compressive 16-State SQAM Modems through Saturated Amplifiers,”  IEEE Radio Commun., ICC  &#39;86, Toronto, June 1986. 
     12. Kato, S. and K. Feher: “XPSK: A new cross-correlated PSK,”  IEEE Trans. Com ., May 1983. 
     13. Law, E. L., U.S. Navy: “Robust Bandwidth Efficient Modulation”  European Telemetry Conference, ETC -98, Germany, May 1998. 
     14. Feher, K.: “FQPSK Doubles the Spectral Efficiency of Operational Telemetry Systems,”  European Telemetry Conference, ETC -98, May 1998, Germany. 
     15. Do, G. and K. Feher: “FQPSK-GMSK: Wireless System Tests an ACI Environment,”  Proc. of Wireless Symposium , Santa Clara, Calif., Feb. 9-13, 1998. 
     16. Law, E. and K. Feher: “FQPSK versus PCM/FM for Aeronautical Telemetry Applications: Spectral Occupancy and Bit Error Probability Comparisons”  Proc. of ITC -97, Las Vegas, October 1997. 
     17. Feher, K “FQPSK Doubles Spectral Efficiency of Telemetry: Advances and Initial Air to Ground Flight Tests,” ITC/USA 98 , Proc. of the Internat. Telemetry Conference , San Diego, October 1998. 
     18. Law, E. and K. Feher: “FQPSK versus PCM/FM for Aeronautical Telemetry Applications; Spectral Occupancy and Bit Error Probability Comparisons,”  Proc. of the Internat. Telemetry Conf ., Las Vegas, Nev., Oct. 27-30, 1997. 
     19. Martin, W. L., T-Y. Yan, L. V. Lam: “Efficient Modulation Study at NASA/JPL,”  Proc. of the Tracking, Telemetry  &amp;  Command Systems Conference , European Space Agency (ESA), June 1998. 
     20. Law, E. L., ITC-98 Session Chair: “RCC Alternate Standards and IRIG106 update,” Briefings by DoD during ITC/USA 98  Internat. Telemetry Conference , San Diego, October 1998. 
     21. K. Feher: “FQPSK Doubles Spectral Efficiency of Operational Systems: Advances, Applications, Laboratory and Initial Air to Ground Flight Tests”, File: ITC.98.Final Paper. Rev. 5. Aug. 14, 1998 (Date of Submission) for publication in  the Proc. of the International Telemetering Conference , ITC-98; San Diego, Oct. 26-29, 1998 
     22. Simon, M. K, Yan, T. Y. “Performance Evaluation and Interpretation of Unfiltered Feher-Patented Quadrature Phase-Shift Keying (FQPSK),” California Institute of Technology, JPL-NASA publication,  TMD Progress Report  42-137, Pasadena, Calif., May 15, 1999. 
     23. Winters, J. H.: “Adaptive Antenna Arrays for Wireless Systems,”  Tutorial Notes presented/distributed at the  1999  IEEE Vehicular Technology Conference , Houston, Tex., May 16, 1999. 
     SUMMARY OF THE INVENTION 
     This invention includes disclosure of new and/original spectral efficient and RF power efficient-high performance technologies, new architectures, embodiments and new Bit Rate Agile (BRA) implementation of 2 nd  generation FQPSK Transceivers. These inventive structures, methods, and technologies are suitable for a large class of implementations and applications. Numerous embodiments of the inventive structures and methods are enabled. These include cost effective solutions for BRA, Modulation and Demodulation (Modem) Format Selectable (MFS) and Coding Selectable (CS) processors, modulators/demodulators, Transceivers, having agile/tunable RF frequency embodiments and are suitable for power efficient NLA systems. 
     The terms abbreviations and descriptions used in the 1 st  generation of Feher et. al inventions, highlighted in the “Background of the Invention” section, as well as other previously identified terms/acronyms and abbreviation and in particular FQPSK and related terms, used in the cited references, are retained and/or slightly modified and are used relative to this disclosure of the new invention to describe second generation “2 nd  generation” BRA architectures and embodiments of FQPSK, FGMSK and FQAM Transceivers. This disclosure contains embodiments for further significant spectral savings and performance enhancements, and new functions and architectures, which were not, included in the referenced prior art patents, inventions and publications. 
     BRA or “Bit Rate Agile” abbreviation and term describes technologies, implementations, embodiments suitable for design, use and applications in which the information rate, source rate, or the often used alternative terms “bit rate”, “symbol rate”, or “data rate” may be selectable or programmable by the user or by one or more control signal(s). Bit Rate Agile (BRA) systems may be programmable by software or have predetermined or “selectable,” i.e., “agile” bit rate applications. The term “bit rate agility” refers to variable and/or flexible selectable bit rates (again bit rate, symbol rate, data rate, information rate, source rate, or equivalent); the bit rates could be selected on a continuous fashion in small increments and/or in steps. These systems are designated as BRA (or Bit Rate Agile) systems. BRA, MFS, and CS systems requirements are increasing at a rapid rate. 
     Changeable (or variable, or selectable) amounts of cross-correlation between Time Constrained Signal (TCS) response processors and/or combined TCS and Long Response (LR) processor and/or post processor filters of in-phase (I) and quadrature (Q) phase signals of BRA Transceivers, MFS and CS baseband signal processing implementations and architectures for tunable RF frequency embodiments having enhanced spectral efficiency and end-to-end performance are disclosed. These new BRA, MFS and CS classes of FQPSK signal processors, modems and transceivers, with Adaptive Antenna Arrays (AAA) and RF power efficient amplifiers and entire Transceivers, operated in fully saturated or NLA mode, with intentionally Mis-Matched (MM) modulation and demodulation filters, transmit BRA and receive BRA filters/processors, disclosed herein, attain high performance advantages and significant spectral savings. 
     A changeable amount of cross-correlation between the BRA and MFS Time Constrained Signal (TCS) response processor and/or combined TCS and Long Response (LR) processor and/or post processor filters of the transmitter with selectable MM between the BRA transmitter and BRA receiver and CS processors, including single and separate in-phase (I) and quadrature (Q) signal storage/readout generators and single and/or separate I and Q channel D/A architectures and a bank of switchable filters for cross-correlated BRA, MFS and CS formats are also disclosed. 
     These new classes of 2 nd  generation of FQPSK signal processors, modems and transceivers, with Adaptive Antenna Arrays (AAA) and RF power efficient amplifiers and entire Transceivers, operated in BRA, MFS and CS fully saturated NLA mode, or with LIN mode with intentionally Miss-Matched (MM) transmit BRA and receive BRA filters/processors, disclosed herein, have robust performance and significant spectral saving advantages. 
     In addition to digital embodiments, BRA analog cross-correlation implementations and combined digital-analog active and passive processors, for 2 nd  generation FQPSK Transceivers are also disclosed. Subsets, within the generic 2 nd  generation of the FQPSK family of processors, modems and transceivers are also designated as 2 nd  generation BRA Feher&#39;s Minimum Shift Keying (FMSK), Feher&#39;s Gaussian Minimum Shift Keying (FGMSK), Feher&#39;s Frequency Shift Keying (FFSK) and Feher&#39;s Quadrature Amplitude Modulation (FQAM). 
     Switched BRA, selectable Cross-Correlation (CC or Xcor) transmit and receive bandwidth Mis-Matched (MM) low-pass, band-pass and adaptive filter means and controller circuits and algorithms for preamble contained and differentially encoded and/or Forward Error Correction (FEC) with Redundant and Pseudo-Error (PE) based Non Redundant Detection (NED) implementations for FQPSK are also described. 
     The term “Mis-Matched” (MM) designates an intentional and substantial mis-match (MM) between the bandwidth and/or frequency or phase response of modulator filters and demodulator filters and/or mis-match (MM) between one or more implemented FQPSK filter(s) and the theoretical optimal performance minimum bandwidth Nyquist filters. 
     The term “Agile Cascaded Mis-Matched” (ACM) designates the BRA and RF agile (“flexible” or “tunable” RF frequency) cascaded TCS response and LR processor/filter(s) which are mis-matched within their respective application and/or use within this invention. 
     For NLA and for LIN amplifiers, selectable FQPSK filtering strategies in the transmitter and separately in the receiver lead to further spectral efficiency enhancements. Fast synchronization systems and robust efficient adaptive equalizers/adaptive switched systems are also disclosed. 
     The inventive structure and method includes transmit elements, receive elements, and transmit and receive elements, and may be applied to a variety of communication applications, including, but not limited to, wireless communications and cellular systems, satellite systems, mobile and telemetry systems, broadcasting systems, cable system, fiber optic systems, and more generally to nearly all communication transmission and/or receiving systems. 
     In one embodiment of the invention, a bit rate agile communication system is provided and includes a splitter receiving an input signal and splitting the input signal into a plurality of baseband signal streams, and a baseband signal processing network receiving the plurality of baseband signal streams and generating cross-correlated cascaded processed and filtered bit rate agile (BRA) in-phase and quadrature-phase baseband signals. In another embodiment, a quadrature modulator receiving and quadrature modulating the cross-correlated filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated output signal is also provided. In another embodiment, the baseband signal processing network includes a cross-correlator and at least one bit rate agile cascaded mismatched (ACM) modulator filter. 
     In yet another embodiment, the invention provides a bit rate agile communication system including a baseband signal processing network receiving parallel baseband signal streams and generating combined Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals. In a variation of this embodiment, the inventive structure also includes a quadrature modulator receiving and quadrature modulating the Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
     In still another aspect, the invention provides a method for generating bit rate agile signals in a communication system. The method includes the steps of processing a plurality of signal streams to generate cross-correlated signals having changeable amounts of filtering for bit rate agile in-phase and quadrature-phase baseband signals. The inventive method may also include the step of receiving an input signal and converting the input signal into the plurality of signal streams. It may also optionally include the further step of modulating the cross-correlated filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
     In yet another aspect, the invention provides a method for generating bit rate agile signals in a signal transmission system, where the method includes the steps of receiving a plurality of signal streams, processing the plurality of signal streams to generate cascaded Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals; and modulating the Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 a  is a diagram depicting an Agile Cascaded Mis-Matched (ACM) enhanced spectral efficiency, high performance Transmitter/Receiver (Transceiver) block diagram for a generic class of modulated systems. 
     FIG. 1 b  illustrates a somewhat generic Transmitter (Tx) block-implementation diagram of the invention for bit rate agile, selectable modulation formats, for hardware, firmware and/or software implementations including optional single and multi-tone inserts at one or more locations. 
     FIG. 2 depicts a Bit Rate Agile (BRA) integrated Base-Band Processor (BBP) with BRA post filters and BRA quadrature modulators. Signal splitting and serial/parallel BRA converters and TCS response processors in cascade with LR filter processors, which are MM enhancements and alternatives to referenced patents [P1 and P2] are also included. 
     FIG. 3 shows TCS response and cascaded LR filter baseband processor and filter preceded by a cross-correlator, and multiplexers for I and Q signal generation. 
     FIG. 4 illustrates coded baseband processing of FQPSK, FQAM, FGMSK and FMSK signals including non-redundant trellis coding of the baseband processed filtered I and Q signals. 
     FIG. 5 Time Constrained Signal (TCS) patterns, based on referenced patents [P4; P5; P7] are illustrated. 
     FIG. 6 shows an Agile Cascaded Mis-Matched (ACM) implementation block diagram embodiment of this invention with cascaded, switched transmit (Tx) and receive (Rx) Low-Pass-Filters (LPF) for BRA applications in conjunction with Cross-Correlated and other non-cross-correlated cascaded Time Constrained Signal (TCS) response processors and Long Response (LR) filters having substantially Mis-Matched (MM) modulation and demodulation filters. 
     FIG. 7 is an alternate embodiment block diagram of the current invention, including Cross-Correlator in cascade with a 2 nd  processor and with Digital to Analog (D/A) converters followed by spectral and pulse shaping bit rate agile LR filters, implemented by Low-Pass-Filters (LPF) in the I and Q channels of this Quadrature modulator. 
     FIG. 8 shows the implementation of an alternate Quadrature Modulator (QM) Transceiver having one or more Intersymbol-Interference and Jitter Free (IJF), Superposed Quadrature Amplitude Modulation (SQAM) or TCS response cascaded with LR response filter embodiments in the I and Q transmit Baseband Processor (BBP). 
     FIG. 9 illustrates a Non Return to Zero (NRZ) signal pattern, a TCS response pattern, a signal pattern of a TCS filtered by a conventional Low-Pass-Filter (LPF) resulting in cascaded TCS response and Long Response (LR) pulse patterns with some overshoots. In the non-Xcor case as well as in the Cross-Correlated case a Peak Limiter (PL) or gradual Soft Limiter or Xcor Soft Limiter reduces the amplitude peaks. The LR filter extends the TCS response to multiple pulses and may introduce additional spectral saving, however, could introduce additional ISI and increased peak variations. 
     FIG. 10 a  shows a Cross-Correlated (Xcor) embodiment with Gaussian LPF and Integrator as well as sin and cos look-up tables. The TCS outputs of the I and Q baseband signals are further spectrally shaped and limited by sets of I and Q channel filters. A single or multiple cross-correlator (X), cos and/or sin inverter (XCSI) is used in this Agile Cascaded Mis-Matched (MM) (ACM) implementation. 
     FIG. 10 b  shows the implementation architecture of an alternative XCSI with PL single or multiple XCSI and/or Peak Limiter (PL) processor. 
     FIG. 11 a  illustrates NRZ signal and shaped Feher Return-to-zero (FRZ) signal patterns and an embodiment having TCS response and cascade LR filters in which the LR filter is implemented with digital IIR and/or FIR filters. 
     FIG. 11 b  shows a pre-processor based architecture of a BRA system with single or multiple Signal Element (SE) storage and/or inverter and of single or multiple D/A based architecture having selectable  1  to N filter channel banks. 
     FIG. 12 a  analog implementation components for cross-correlated and/or TCS-filtered data patterns and signals for bit rate agile and for high bit rate applications are shown. 
     FIG. 12 b  shows an analog BRA baseband implementation alternative of a TCS response processor for cross-correlated or not cross-correlated I and Q signals with selection or combined cascaded LR filter embodiment of this invention. 
     FIG. 13 a  is a mixed analog and digital circuit implementation alternative of this cross-correlated TCS response processor in cascade with LR filters. 
     FIG. 13 b  shows an other cross-correlated alternative implemented with a combination and/or selection of analog and digital circuits. 
     FIG. 13 c  shows a detailed implementation structure for one of the channels (I or Q) of a TCS response processor in cascade with a LR filter. In some embodiments the TCS processor contains cross-correlation between the I and Q channels while in other implementations there is no cross-correlation between the TCS response and cascaded LR filtered signals. 
     FIG. 14 shows a BRA implementation alternative with a TCS processor, one or more D/A devices in cascade with a bank of switchable LR filters/processors and switchable Linearized Phase or Phase Linear (PL) and Not Linear Phase (NLP) Filters. 
     FIG. 15 is a detailed implementation diagram alternative of this ACM mode architecture having cross-correlated TCS response wavelet generators in cascade with LR filters. 
     FIG. 16 shows four (4) illustrative signaling elements generated by analog TCS response cross-correlators, prior to the cascaded LR filters. The shown signaling elements or wavelets are for FQPSK signal generation, having a cross-correlation parameter of A=0.7. 
     FIG. 17 shows four (4) cross-correlated BRA signaling elements of one of the TCS response analog generated circuits for enhanced performance FGMSK. Only 4 signaling elements are required in this BRA reduced spectrum Feher Gaussian Minimum Shift Keying (FGMSK) signal generation, having a BTb=0.5 parameter. 
     FIG. 18 shows Differential Encoding (DE) and Differential Decoding (DD) for FQPSK and FGMSK. 
     FIG. 19 eye diagrams of DE prototype BRA transmit signals for FGMSK with BTb=0.3, and FQPSK with a cross-correlation parameter A=0.7, prior to additional baseband processing and prior to the baseband LR filter of the transmitter are shown. The eye diagram at the TCS response processor output and the I and Q cross-correlated eye diagrams, at the outputs of the cascaded TCS response and LR filters of FQPSK-B systems, operated in ACM mode, as well as the corresponding vector constellation diagrams are also shown. 
     FIG. 20 shows an FQAM implementation architecture diagram for multi-state Cross-Correlated FQPSK transmitters, also designated as FQAM. In this embodiment a single RF Amplifier operated in fully saturated NLA mode is used. 
     FIG. 21 is an alternate implementation diagram of multi-state FQPSK, FGMSK and FQAM transmitters. In this embodiment two or more RF amplifiers operated in NLA saturated and/or in partly linearized (LIN) mode of operation are used 
     FIG. 22 is an “Over the Air Combined” implementation architecture of FQAM signal generation having two or more quadrature FQPSK and/or FGMSK modulators, two or more RF amplifiers and two or more transmit antennas. 
     FIG. 23 shows the embodiment of an Orthogonal Frequency Division Multiplexed (OFDM) embodiment with FDM signal combining of a number of FQPSK signals. In one of the embodiments of this invention RF Combining is implemented by hardware RF components while in an alternative implementation the RF combining is implemented “over the air”. 
     FIG. 24 shows a transmit Antenna Array and/or RF Combining implementation of multiple modulated signals. This figure illustrates multiple TCS response and/or cascaded TCS response and LR filtered cross-correlated baseband signal processors connected to an antenna array and/or RF combiner. 
     FIG. 25 shows an ACM and PL architecture and embodiment for trellis coded filtered cross-correlated I and Q baseband signal generation, containing TCS response and cascaded LR filters, for FQPSK, FGMSK as well as FQAM signal generation. 
     FIG. 26 shows the Power Spectral Density (PSD) of NLA illustrative data links operated at 13 Mb/s rate per link, in the US Government authorized band between 2200 MHz to 2290 MHz. With telemetry standardized filtered PCM/FM 3 links can be used simultaneously, with FQPSK-B the number of links is doubled to 6, while with NLA 16-state FQAM, also designated as a 2 nd  generation multi-state FQPSK or FQPSK.2.4, the number of 13 Mb/s links is quadrupled to 12 links (over that of standardized PCM/FM). 
     FIG. 27 The PSD and Integrated Adjacent Channel Interference (ACI) of hardware measured prototype FQPSK-B in a NLA transmitter and of a BRA linearized transmit FQPSK is illustrated in the upper figure. In the lower part of this figure the Integrated ACI of FQPSK systems with that of GMSK (BTb=0.25) systems is compared. For NLA transmitters, the results show a very significant (approximately 2 to 1) RF spectral efficiency advantage of FQPSK over that of GMSK systems. The aforementioned FQPSK 2 to 1 spectral advantage over that of conventional GMSK is measured for a typical −60 dB specification of the ACI. 
     FIG. 28 Spectral results of 16 state NLA systems are illustrated. The ACI results FQAM, obtained after fully saturated NLA, are compared with that of NLA conventional pre-modulation filtered 16-state QAM systems. The spectral efficiency advantage of the NLA illustrated FQAM is more than 200% over that of NLA prior QAM. 
     FIG. 29 shows BER performance curves, in terms of the customary BER=f(Eb/No) performance curves, of FQPSK Transceivers. Hardware measurements and/or computer design/software generated data and theoretical study results show that NLA practical RF hardware FQPSK Transceivers, with intentionally and substantially Mis-Matched(MM) filters are within about 0.5 dB to 1 dB of the ideal theoretical LIN amplified QPSK systems. 
     FIG. 30 shows a demodulation architecture for FQPSK, FGMSK and FQAM and for other signals. 
     FIG. 31 shows an alternate A/D converter based demodulator architecture. This implementation/embodiment is suitable for “software radio” demodulation and/or for firmware or hardware, or combined hybrid implementations of this invention. 
     FIG. 32 shows transmit Antenna Arrays (AA) and receive Adaptive Antenna Arrays (AAA) in this multiple transmit and receive omni-directional and/or sectorized or high gain directional antenna-embodiment of this invention. This architecture has the potential to increases the NLA spectral efficiency of FQPSK, FGMSK and FQAM systems to more than 30 b/s/Hz. 
     FIG. 33 shows a Pseudo-Error (PE)-Non-Redundant Error Detection (NRED) circuit embodiment for on-line or in-service monitor, for PE based adaptive equalization control and for diversity control unit implementations. 
     FIG. 34 shows an adaptive equalizer circuit embodiment of this invention. The adaptive equalizer, designated as Feher Equalizer (FE) generates the control signals in a PE based NRED circuit and is suitable for fast adaptive equalization. 
     FIG. 35 is a switchable delay based embodiment of a combined adaptive equalizer/adaptively selectable switched receiver designated as Feher Rake “FR.” A PE based NRED or other NRED circuits are used for generating the control and switch selection signals. 
     FIG. 36 shows an implementation architecture for multiple adaptive FE and FR circuit embodiments with multiple demodulators. 
     FIG. 37 is a block diagram implementation of a two branch diversity receiver with an adaptive equalizer and a single demodulator. A NRED based circuit generates “smart” diversity selection and/or control signals. 
    
    
     DETAILED DESCRIPTION OF EMBODIMENTS OF THE INVENTION 
     Introductory Description of Embodiments of the Invention 
     This invention relates in part to Bit Rate Agile (BRA) signal processors and particularly to cross-correlated (abbreviated “CC” or “Xcor”) and to Agile Cascaded Mis-Matched (ACM) signal processors for increasing the RF spectral efficiency and RF power efficiency of modulated transmitted signals including digital binary, and digital multilevel signals, and of analog modulated signals operated in linearized (LIN) and in power efficient Non-Linearly Amplified (NLA) systems. Cross-correlated quadrature phase, frequency, and amplitude modulated Transmitter and Receiver (Transceiver) systems are described. The use of section headings is for convenience only and is not intended to delimit the discussion of particular aspects of the invention as aspects, features, embodiments, advantages, and applications are described through the specification and drawings. Acronyms are used extensively throughout the description to avoid excessively long descriptive phrases. In some instances the same acronym is used for a system component or structure as well as as a adjective or other qualifier for the function or operation performed by that structure. The meaning will be clear from the context of the description. 
     The disclosed BRA systems, designated as belonging to the class of Feher&#39;s Quadrature Phase Shift Keying (FQPSK) systems, and also by other acronyms and abbreviations, described herein, include BRA Time Constrained Signal (TCS) response processors and cascaded TCS and BRA Long Response (LR) processors and/or post-processor filters of in-phase (1) and of quadrature (Q) phase signals of BRA transmitters and receivers (or Transceivers when transmitter and receiver are combined). Modulation and demodulation (Modem) Format Selectable (MFS) and Coding Selectable (CS) baseband signal processing implementations and architectures for tunable RF frequency embodiments having Pseudo-Error (PE) based Non-Redundant Error Detection (NRED) implementation structures are also disclosed. BRA demodulation filters Mis-Matched (MM) to that of the modulator filters, filters MM to that of theoretical optimal minimum bandwidth Nyquist filters. PE controlled adaptive equalizers and diversity systems having enhanced spectral efficiency and end-to-end performance are also described and included within the scope of this invention. 
     In general terms the present invention discloses and provides structure and method for cost effective solutions for Bit Rate Agile (BRA), modulation and demodulation (Modem) Format Selectable (MFS) and Coding Selectable (CS) processors, modulators/demodulators (modems), transmitters and receivers (Transceivers) with agile cascaded mismatched (ACM) architectures having agile/tunable RF frequency embodiments and which are suitable for power efficient systems. This disclosure contains numerous structural and methodological embodiments and implementation architectures which lead to: (i) significant RF spectral savings, (ii) performance enhancements, and (iii) new features, functions and architectures; none of which were suggested or disclosed in the cited issued patents, inventions and references. Several of the references have been described as 1 st  generation of Feher&#39;s Quadrature Phase Shift Keying (FQPSK), Feher&#39;s Quadrature Amplitude Modulation # (FQAM), Feher&#39;s Gaussian Minimum Shift Keying (FGMSK), and Feher&#39;s Minimum Shift Keying (FMSK) Transceivers. 
     The new implementation architectures, embodiments and new BRA technologies described in this disclosure are designated as subsets of second generation of FQPSK systems, suitable for BRA operation. 
     Overview of Exemplary Embodiments Described 
     A detailed disclosure of implementation architectures and embodiments of this invention is contained in the following sections. In many instances the text is related to the description of the respective figures and to the implementation of ACM transceivers. A changeable amount of cross-correlation between the BRA, CS, MES and TCS response processor and/or combined or cascaded TCS and LR filters and/or post processor filters of the transmitter with selectable MM between the BRA transmitter and BRA receiver and CS processors, including single and separate in-phase (I) and quadrature (Q) signal storage/readout generators and single and/or separate I channel and Q channel D/A architectures for cross-correlated BRA, MFS and CS formats are also described. In agile cascaded mismatched (ACM) designs for NLA and for Linearized (LIN) amplifiers selectable FQPSK filtering strategies, in the transmitter and separately in the receiver lead to further improvements in spectral efficiency. 
     Within an interface unit (IU)  107  in FIG. 1 a  a generalized block diagram of an embodiment of this inventive Transceiver  100  is shown and includes a BRA  102 , MFS, CS, MM filtered and RF frequency agile enhanced spectral efficiency, high performance Transceiver block diagram. In this embodiment one or more input signals  150 - 1 ,  150 - 2 ,  150 -N are received on single or multiple lead(s)  101 - 1 ,  101 - 2 , . . . ,  101 -N and provided to a transmit section  152  of Interface Unit (IM)  102 . The term lead or leads generally refers to a coupling or connection between the elements, and may for example refer to a wire, integrated circuit trace, printed circuit trace, or other signal link, connection, or coupling structure or means as are known in the art. Note that the IU provides an Interface port for transmission, designated as  102  and in the Receive section, also designated as  102 , it contains the required IU receive processors and provides an output interface port. The input and output leads may contain and communicate analog or digitized voice, music, data, video, telemetry or other signals, or combinations thereof In the FIG. 1 a  embodiment, signals  150  on input leads  101  may also represent Spread Spectrum, CDMA, WCDMA, CSMA, TDMA, FDMA or continuous single channel “Clear Mode”, or other signals such as FDM and orthogonally frequency division multiplexed Orthogonally Frequency Division Multiplexed (OFDM) signals and IU port configurations. 
     The BRA  102  unit, shown in FIG. 1 a  provides signals  153  to a Base-Band Processor (BBP) unit  103 . This unit  103 , receives in addition to the output signals from the IU  102 , signals on lead  104  a Clock (C), on lead  105  one or more Control (CTL) signals and on lead  106  one or more Sampling (SAM) signals. The combination of the aforementioned C, CTL and SAM signals is also designated with a common further abbreviation as “C”. 
     BBP unit  103  provides a new class of BRA Cross-Correlated (CC) signals, including ACM filtered signals. The BBP provides signals to the Quadrature Modulator (QM) unit  109 . Numerous embodiments of QM  109  have been described in the prior art and/or in the listed references. The QM implementation in baseband, IF and RF frequency ranges is well known by means of analog, digital and combined analog or digital techniques in hardware, firmware and in software and does not require further description. The Frequency Synthesizer, Unit  108 , provides one or more unmodulated “Carrier Wave” signal(s) to the QM. The quadrature-modulated signals are provided to the Transmit Amplifier (AMP). The amplifier may be operated in a fully saturated mode, designated as Non-Linear Amplifier (NLA) or C-class amplifier or it may be operated in a Linearized (LIN or Lin) mode. Between the QM- 109  and the Transmit AMP  111  part of the “RF Head” an optional combiner  110  is shown. Combiners  110  and/or post-AMP combiner  111  are optional units for Pilot Insert (PI)  1  and  2  designated as units  109  and  112 , respectively. The RF head&#39;s transmit AMP is connected to Switch (SW) and/or Combiner/Splitter device  113  and this  113  unit provides the signal for transmission to and from antenna  114 . Instead of the aforementioned antenna a separate port could be used for signal transmission or reception of “wired” systems. The Pilot Insert (PI) optional units may provide in band/or out of band pilot tones for transmission. These tones could be used for fast and robust performance receiver demodulators and synchronizers. In the transmit and receive sections Switch  113  or Switch or Combiner or Diplexer is connected to the receive Band Pass Filter (BPF)  115 . Instead of Switch  113  a Combiner/Splitter could be used. The received signal after the BPF is connected to a Low Noise Amplifier (LNA) unit  116 . The optional down-converter unit  117  receives its inputs from the Frequency Synthesizer and from the LNA and provides it to band-pass filter (BPF)  118  for further processing. The entire down-conversion stage of the receiver, including the receive section of the Frequency Synthesizer, mixers  117  and  118  are deleted for the so-called Direct Down-Conversion type of receivers. 
     The quadrature demodulator (Quad Demod) may contain components such as Automatic Gain Control (AGC), Frequency Tracking, Synchronization and Post Demodulation, Signal Conditioning including Symbol Timing Recovery (STR) circuits. The demodulated signal provided by demodulator unit  119  is fed to the receive section of the IU  102 . The receiver section of the IU  102  contains on lead  101  the output signal and output port. 
     In FIG. 1 b , an alternate, somewhat generic Transmitter (Tx) block-implementation diagram of this invention for Bit Rate Agile (BRA), Modulation Format Selectable (MFS) hardware, firmware and/or software implementations, including optional single and multi-tone inserts at one or more locations and optional ACM embodiments, is depicted. Several optional interface units prior to the processor unit  132  are illustrated in this figure. These units may perform the transmit interface functions and the corresponding receive interface functions. Illustrative examples for the transmit interface functions are described. Unit  120  illustrates a Forward Error Correction (FEC) and/or a Differential Encoder (DE). Unit  121  is an interface for Frequency Division Multiplexing (FDM); for Collision Sense Multiple Access (CSMA)  122  would be used. 
     For Code Division Multiplexes (CDMA) and its variations such as W-CDMA and B-CDMA and 3 rd  generation CDMA  123  would be used. For time division multiplexed (TDM)  124 , while for Continuous single or multiple digital or analog signals or Analog to Digital (A/D) converted signals unit  125  is used. For Telemetry interface  126 , while for Broadcast Signal interface  127  is used. Unit  128  is suitable for Orthogonal Frequency Division Multiplexing (OFDM). For additional CDMA processing or interface  129  could be used. Trellis Coded Modulation (TCM) baseband processing of the trellis encoder and corresponding optimal demodulation/decoding could be performed in  130 . Unit  131  is reserved for “other” emerging applications. Unit  132  is the processor, including the BBP for a generic class of signal generators disclosed in this invention. The baseband “in-phase” (I) and quadrature phase (Q) baseband signals generated by  132  are provided to QM  133 . The QM unit receives an input also from the Carrier Wave (CW) generator also designated as Local Oscillator (LO) which could be part of the Frequency Synthesizer (FS)  140 . The quadrature modulated output signal in one of the optional embodiments is combined with one or more Pilot Tones in combiners  134  and/or  136 . Signal Amplifier (AMP)  135  provides the amplified signal to the Transmit and Receive Antenna  138  through switch or combiner/splitter  137 . For wired applications such as telephony, coaxial cable, fiber and other physical wired connections interface unit/amplifier  139  is used. Bit Rate Agile° Clocks (BRAC) are generated and/or processed in  141 . The Control (CTL) signals are obtained from unit  142  while one or multiple rate or sub bit rate Sampling Signals (SAM) are generated and/or processed by  143 . 
     In FIG. 2 an embodiment of a BRA integrated Base-Band Processor (BBP) with BRA post filters and BRA Cross-Correlated (CC) signals and ACM filters for quadrature modulation is illustrated. New BRA, MFS, CS and RF frequency agile implementation architectures of this invention are described in conjunction with FIG.  2 . On signal leads  2 . 10  and  2 . 11  the in-phase input (Iin) and the quadrature phase input (Qin) signals are provided to switch units  2 . 14  and  2 . 15 . On lead  2 . 12  a serial input signal (Sin) is illustrated. This signal is connected to a Serial-to-Parallel (S/P) converter and/or Splitter unit, combined or individually also designated as “splitter”  2 . 13 . Switching and/or combining units  2 . 14  and  2 . 15  provide in-phase (I) and quadrature phase (Q) baseband signals to the BRA processor  2 . 16 . This BRA processor also receives a set of Clock, Control, and Sampling Signals C, CTL and SAM, commonly also referred to as set of C signals or merely “C” signal or “C” for clock. The Iout and Qout signals are on leads  2 . 17  and  2 . 18  and provide inputs to the QM. The QM  2 . 19  provides drive signal (S) to amplifier  2 . 20  which in turn provides amplified signals to switch or combiner/splitter unit  2 . 21 . Antenna  2 . 22  and/or interface port/amplifier  2 . 23  provide the signal to the transmission medium. Unit  2 . 19  Frequency Synthesizer (FS) provides the Carrier Wave Signals to one of the inputs of the QM and may provide one or more pilot tones to the QM and/or the output of  2 . 20  for combining the pilot tone(s) with the quadrature modulated signal. 
     In an alternative implementation of the baseband processor, in the lower part of FIG. 2, on leads  2 . 24  and  2 . 25  parallel input signals (Iparin) and (Qparin) are provided, while on lead  2 . 26  a serial input signal is provided. Units  2 . 27 ,  2 . 29 ,  2 . 30 ,  2 . 32 , and  2 . 33  are switching devices for the serial signal input and for the I and Q signals. Unit  2 . 28  represents a signal splitter. Signals and units  2 . 10  to  2 . 33  constitute some of signal processing components of this new architecture. These components have related structures to the description contained in Feher&#39;s prior art U.S. Pat. No. 5,491,457, Ref. [P2]. However, significant structural and implementation differences exist between the structures described in [P2] and the entire structure and embodiment of FIG.  2 . 
     The architecture and embodiment of the Bit Rate Agile embodiment of the FIG. 2 processor includes BRA Baseband Processor (BBP)  2 . 34  with cascaded BRA Time Constrained Signal (TCS) response and Long Response (LR) signal generators. BRA post filters with Cross-Correlated (X) Cosine (C) and Sine (S) single or multiple processors and inverters (XCSI) are also part of the new structure. These structures, devices and architecture, including the new ACM filtering features available with these new elements are part of this invention. 
     Description of an Exemplary Embodiment of a FQPSK Bit Rate Agile Transceiver 
     In this part of the detailed description of the invention the focus is on Quadrature Modulated (QM) four (4) state FQPSK systems. These four state systems have in general, in the sampling instants, in the I and Q baseband channels 2 signaling states (for short “states”). In the baseband I channel and in the baseband Q channel there are 2 signal states. The architectures and embodiments of nine (9) state FQPSK systems are essentially the same as that of 4 state FQPSK Transceivers. An exception is that the baseband I and Q Cross-Correlated and BRA signal processors provide 3 level (state) baseband I and Q signals and results in 3×3=9 state modulated FQPSK systems. Most implementations and embodiments and alternatives apply to multi-state (more than 4 state) Quadrature Modulated systems, described in later sections, such 9, 16 or 64 or 256 state QM systems having 3, 4, 7, 8 and 16 states in their respective baseband channels. 
     FIG. 3 shows BRA baseband filters and processors preceded by a “basic cross-correlator (Xcor)” component of this FIG.  3 . The basic Xcor component, including the wavelet storage units and multiplexers may be related to implementations described in the prior art Kato/Feher U.S. Pat. No. 4,567,602 patent [P5]. In some of the implementations of the present BRA invention, for use in BRA post filtered/processed system applications, these basic Xcor elements are used with integrated and/or post Xcor BRA filtered/processed ACM units. In some other embodiments different basic signaling elements including cascaded Time Constrained Signal (TCS) response and Long Response (LR) waveform generators and BRA post filters are used. In alternate embodiments of this invention the basic Xcor is connected to Cross-Correlated (X) Cosine (C) and Sine (S) single Inverters (XCSI). In some other alternate implementations the basic Xcor unit is not used. The combined embodiment and structure of the set of TCS and BCM signal generators, collectively designated as unit  3 . 11 , combined with Multiplexers  3 . 13  and  3 . 14  and cascaded with the BRA cascaded TCS response and LR filters and baseband post filters  3 . 15  is different from that of the aforementioned prior art [P5]. 
     FIG. 4 shows a trellis coded processor implementation architecture. Variations of this structure include one or more elements illustrated in FIG.  4 . The shown structure is suitable for encoded signal generation including Differentially Encoded (DE) and/or Non-Redundant Trellis Coding (TC) of the Baseband Processed filtered I and Q signals. Alternately other Forward Error Correcting (FEC) devices are contained in unit 4.13. The architecture of this FIG. 4 is suitable for several 2 nd  generation FQPSK embodiments. Elements of this structure generate enhanced spectral efficiency LIN and NLA constant envelope and non-constant envelope systems. BRA digital and analog implementations of ACM selectable parameter cross-correlators and several sets of transmit and selectable receive filters are included. Synchronous single data stream and asynchronous multiple data stream input processing has been also implemented with the shown structure of FIG.  4 . Transmitters with and without preambles and trellis or other encoders and/or analog and digital pilot insertion as well as multi-amplitude cross-correlated signals including 3 level 7 level and multi-level partial response signals are also generated with the “mix and match” flexible and interoperable elements and structures. 
     On leads  4 . 11  and  4 . 12  the in-phase and quadrature phase input signals Iin and Qin are illustrated. Units  4 . 13  and  4 . 14  contain Digital Signal Processors (DSP) or FPGA logic elements, or other readily available processors. These processors perform functions such as Trellis Coding (TC) with or without redundancy, Differential Encoding (DE), Digital Signal Mapping for TC or other logic and/or memory modifications of the baseband signals. The Digital Processing Addition (DPA) unit  4 . 15  is provided for additional optional DE, Digital Pilot Insertion, and addition of Forward Error Correction (FEC) bits and/or symbols, including CRC and/or pi/4 rotation of the QM signal. Element  4 . 16  is a Bit Rate Agile (BRA) Base-Band Processor (BBP) which includes post-BBP ACM filters and/or post-Cross-Correlation (CC) filters and processors in the I and Q channels or a shared filter for the I and Q channels. The aforementioned functions and implementations could be used in the described sequence, or in a permutation or combination or variation of the aforementioned sequence. The entire processor of FIG. 4 could be implemented in one or more integrated steps without specific separation of the aforementioned functionality and/or implementation architectures. 
     One of the implementation alternatives of the Differential Encoded (DE) algorithm, used in some of the embodiments of this invention is described in the following paragraphs. In FIG. 4 the optional DE is part of unit  4 . 13  and is used for FQPSK and in particular for a specific FQPSK embodiment, designated as FQPSK-B, Revision A 1  as well as FGMSK, FMSK and FQAM Transceivers. A somewhat more detailed implementation block diagram of entire Differential Encoder (DE)-Differential Decoder (DD) and corresponding Serial to Parallel (S/P) and Parallel to Serial (P/S) converters is shown in FIG.  18 . 
     A Serial-to-Parallel (S/P) processor, such as processor  18 . 1  of FIG. 18, is inserted prior to the DE  4 . 13  of FIG. 4 or prior to the DE unit  18 . 2  of FIG.  18 . The Differential Encoder  4 . 13  Differentially Encodes (DE) the I and Q data streams. The baseband I and Q signals are differentially encoded as follows: 
     
       
         
           I=D 
           even 
           ⊕Q 
           bar 
         
       
     
     
       
         
           Q=D 
           od 
           ⊕I 
         
       
     
     In an alternative implementation of the aforementioned DE the inversion “bar” is on I in the second equation instead of the Q of the first equation (that is I-bar rather than Q-bar). 
     
       
         
           I=D 
           even 
           ⊕Q 
         
       
     
     
       
         
           Q=D 
           odd 
           ⊕I 
           bar 
         
       
     
     In one of the FQPSK embodiments, designated as FQPSK-B, one of the implementations has the I and Q data symbols offset by one bit time (Th), corresponding to a ½ symbol time (Ts), i.e. Tb=Ts/2. D even  and D odd  are the even and odd input data bits. In alternate embodiments, the aforementioned offset is not used. In the case of Direct Sequence Spread Spectrum systems such as certain CDMA systems, instead of the offset by 1 bit time the offset could correspond to 1 chip time or to a presetable time. 
     In FIG. 5 several Time Constrained Signal(TCS) response patterns are illustrated. TCS and/or TCS response patterns are illustrated, described and defined with the aid of the synonymous terms “Signaling Elements(SE)”, “Signal Components” or “Wavelets.” The terms TCS, TCS processor and/or TCS response shall mean that the pulse response or alternatively the impulse response of TCS processors is constrained to the length of the memory of TCS processors. This TCS response may have an impact on the cascaded response of a TCS processor with that of subsequent filters. TCS response cross-correlated and also TCS response signal patterns without cross-correlation are illustrated in FIG.  5 . These are used in some of the implementations of this invention as signaling elements or wavelets connected in cascade to Long Response (LR) filters. The term “Long Response filter” or “LR filter” means that the measurable pulse response and/or impulse response of an LR filter or processor is longer than the pulse response of the TCS response processor. In several implementations the LR filter is implemented by conventional filter synthesis and design. Conventional filter designs include the design and implementation of active and passive Bessel, Butterworth, Chebycheff, Gaussian, analog and digital filters and of hybrid analog/digital filters. In alternate LR filter designs Infinite Impulse Response (EIR) and also Finite Impulse Response (FIR) architectures are implemented. 
     The pulse response of TCS response processors is limited to the memory of the TCS processor. In several embodiments the memory of the TCS processor and/or TCS cross-correlator has been between ½ and 3 symbol duration Ts intervals. The pulse response of LR filters is related to the type of the selected filter, the roll-off and the 3-dB bandwidth(B) and bit rate duration (Th). For example an 8 th  order Chebycheff filter, having a BTb=0.5 could have a practical, measurable pulse response of more than 10 bit duration. A 4 th  order Butterworth filter having a BTb=1 could have a practical pulse response of more than 4 bit duration, depending on the accuracy/inaccuracy of pulse response and resulting Intersymbol Interference (ISI) definitions and requirements. 
     The basic TCS signaling elements or “Wavelets” shown in FIG. 5 precede the LR filters of the ACM embodiments. In alternate architectures the sequence of TCS and of the LR filters/processors is interchanged and also used in parallel architectures for combined TCS and LR signal generation. The TCS signal elements or for short “Signals” or “wavelets” in FIG. 5 are described as follows: signal pattern  5 . 11  represents pattern S 1 (t) of a Non-Return-to-Zero (NRZ) signal pattern. The NRZ signal pattern contains TCS signaling elements where the duration of each NRZ signaling element is constrained to one Time Symbol (Ts) duration. Signal pattern  5 . 12 , also designated as S 2 (t), represents an other one Time Symbol TCS response wavelet pattern. This TCS response signal could be generated by the “Superposed Quadrature Modulated Baseband Signal Processor” (SQAM) Seo/Feher&#39;s U.S. Pat. No. 4,644,565, Ref. [P4]. Another TCS pattern, designated as pure Intersymbol-Interference and Jitter Free (IJF) signal pattern, or pure IJF wavelet and pattern, based on Feher&#39;s U.S. Pat. No. 4,339,724 [P7] is signal  5 . 14  also designated as S 4 (t). It is a TCS pure IJF signal pattern corresponding to the alternate NRZ pattern example shown as signal  5 . 13  and designated as S 3 (t). Signals  5 . 15  and  5 . 16  designated as S 5 (t) and as S 6 (t) are in-phase (I) and quadrature phase (Q) half a Time Symbol (Ts) time delayed NRZ baseband signals. In this designation half a symbol duration corresponds to one Time Bit (Th) duration that is Ts=Tb/2. Signal patterns  5 . 17  and  5 . 18  corresponding to S 7 (t) and as S 8 (t) are additional illustrative examples of TCS signals. These TCS signals represent in-phase(I) and Quadrature-phase (Q) baseband Cross-Correlated (CC) or (Xcor) signal patterns which could be generated by use of the Kato/Feher U.S. Pat. No. 4,567,602, Ref. [P5]. These S 7 (t) and S 8 (t) cross-correlated TCS response signal patterns represent IJF encoded output signals having amplitudes modified from the peak amplitudes of IJF signals. 
     In FIG. 6 an implementation diagram with cascaded switched transmit (Tx) and receive (Rx) Low-Pass-Filters (LPF) in conjunction with cross-correlated and other non cross-correlated TCS response and cascaded LR processors is shown. These LR processors could be implemented as separate I and Q LPF s or as an individual time-shared LPF. The Transmit Baseband Signal Processor (BBP) including the I and Q LPFs could be implemented by digital techniques and followed by D/A converters or by means of analog implementations or a mixture of digital and analog components. External Clock and External Data Signals are used to drive the S/P and the entire baseband processor (BBP). The BBP may include a Differential Encoder (DE). The I and Q LPFs may be implemented as single filters (instead of cascaded filters). Modulation and Demodulation filters have been implemented and tested with intentionally Mis-Matched (MM) filter parameters. Some of the best performance implementations use Agile Cascaded Mis-Matched (ACM) architectures. LR filters have been synthesized and implemented as phase equalized and also as non-equalized phase response transmit and receive Bessel, Gaussian, Butterworth and Chebycheff filters. Bessel, Gaussian and Butterworth and Chebycheff filters as well as other classical filters are within the previously described and defined class of Long Response (LR) filters. These filters have a relatively long practical impulse and/or pulse response. The measurable practical pulse response of the aforementioned filters having an approximately BTs=0.5 design parameter extend to many bit durations. Here B refers to the 3 dB cut-off frequency of the filter and Ts to the unit symbol duration. From classical communications and Nyquist transmission theory it is well known that the theoretical optimal performance minimum signal bandwidth is defined for BTs=0.5. The LPFs in the I and Q channels, or the shared single set of LPFs, implementations include Infinite Impulse Response (IIR) and Finite Impulse Response (FIR) filters. 
     In FIG. 6 on lead  6 . 3  a serial data stream is present. This signal is provided to  6 . 4   a  and the optional  6 . 4   b  units for Serial-to-Parallel (S/P) conversion and a 1 bit duration (Tb) offset in one of the implementations. In other implementations there is no offset delay  6 . 4   b  in the embodiment. Some other alternate embodiments use a selectable offset delay  6 . 4   b  which is larger or equal to zero and smaller than the duration of approximately 200 bits. As stated the Offset logic is used in certain embodiments, while in other architectures it is not present. The input signal or input signals are provided on leads  6 . 1  and  6 . 2  instead of lead  6 . 3  in some of the alternative implementations of this invention. Unit  6 . 5  is a Base-Band Processor. Unit  6 . 5  may be clocked, controlled and sampled by signals such as C, CTL, and SAMP such as illustrated previously in FIG. 1 to FIG.  3 . In this figure, FIG. 6, all of these clocking, control and sampling signals which could represent multiple rates and multiple leads are collectively or individually abbreviated simply as “C” and illustrated with an arrow near the letter “C.” Unit  6 . 5  in some of the embodiments performs the Time Constrained Signal (TCS) processing, waveform assembly and generation functions of multiple symbol TCS cross correlation and signal processing operations. The I and Q outputs of unit  6 . 5  are provided as inputs to the transmit set of LPFs designated as TX 1  LPF-1 unit  6 . 6  and TXQ LPF-1 unit  6 . 11 . This set of first LPFs could be cascaded with a second set of I and Q channel LPFs units  6 . 7  and  6 . 13 . Switch units  6 . 8  and  6 . 12  illustrate that the second set of LPFs could be bypassed and/or deleted in some of the embodiments. 
     The LR filter units, embodied by the first and second sets of I and Q are implemented as LPFs or alternately as of other types of filters such as Band-Pass Filters (BPF) or High Pass Filters (HPF) or other filter/processor LR filter combinations. As stated previously, for several embodiments all of the aforementioned processors are BRA and ACM, while for other implementations bit rate agility and/or ACM may not be required. Units  6 . 9 ,  6 . 10 ,  6 . 14 ,  6 . 15  and  6 . 16  comprise a quadrature modulator in which the I and Q modulators are 90-degree phase shifted and in which a Local Oscillator (LO) is used as a Carrier Wave (CW) generator. Unit  6 . 17  is an amplifier that could be operated in a LIN or in a NLA mode. The output of amplifier  6 . 17  is provided on lead  6 . 18  to the transmission medium. 
     In FIG. 6 at the receiving end, on lead  6 . 19 , is the received modulated signal. Unit  6 . 21  is a BPF that is present in some embodiments while in others it is not required. Alternatively the receive BPF could be “switched-in” or “switched-out” by switch  6 . 20 . In some implementations Surface Acoustic Wave (SAW) BBF were used to implement  6 . 21 . Units  6 . 22 ,  6 . 23 ,  6 . 24  and  6 . 25  embody a Quadrature Demodulator (QD) with a corresponding Local Oscillator (LO). The aforementioned LO represents for some embodiments an entire Carrier Recovery (CR) subsystem while for other embodiments it is a free running LO. The set of LPFs  6 . 26  and  6 . 27  are the embodiment of post-demodulation filters, while the second set of LPFs  6 . 28  and  6 . 29  may be used to further enhance the spectral efficiency advantages or other performance advantages of designed ACM systems. The second set of LPFs could be connected or disconnected by switches  6 . 30  and  6 . 31  or entirely deleted. Unit  6 . 32  is the Clock Recovery (CR) and/or Symbol Timing Recovery (STR) system. For fast clock and/or STR, this unit is connected in some of the embodiments in parallel to the Carrier Recovery (CR) subsystem. In one of the embodiments of fast Clock Recovery (CR) systems, the parallel configuration embodied by units  6 . 37  and  6 . 38  is used for discrete signal clock generation. The discrete signal spike, in the frequency domain, provides on lead  6 . 39  the clock recovery unit  6 . 32  with a discrete spectral line signal which is exactly at the symbol rate or at the bit rate. In this architecture unit  6 . 37  is a multiplier or any other nonlinear device which has at its input the received modulated signal and the same received modulated signal multiplied by a delayed replica of itself. The aforementioned delayed replica is generated by unit  6 . 38 , a delay element. The receiver structure, shown in FIG. 6, is one of the many possible alternative receiver and demodulator structures. It is inter-operable compatible and suitable for BRA and MFS and CS reception, demodulation and/or decoding of the transmitted signals embodied by means of the BRA and/or MFS and/or CS and/or ACM implementation of the FIG. 6 transmitter embodiments. 
     Contrary to the teachings and wisdom of well established bandwidth efficient communication theory, of matched filter-optimal demodulation theory and optimal data reception theories, in several embodiments of the current invention, substantially Mis-Matched (MM) modulator and the demodulator filters have been implemented. Fundamental and pioneering discoveries, regarding the cascaded pulse response of TCS response and of LR filter cross-correlated BRA implementations of modulator I and Q filters and that of the implementations of “matched” and/or intentionally “Mis-Matched” (MM) demodulator filters are disclosed in this part of the invention. In classical communication theory the demodulation LPFs, and in fact the entire cascaded receiver and demodulation filter responses are matched to the characteristics of the modulator and entire cascaded modulator and RF transmitter filters. Minimum bandwidth-maximal spectral efficiency, optimal performance requires that the Nyquist minimum bandwidth theorems be satisfied for ISI free and matched signal transmission/reception. The intentionally and substantially Mis-Matched (MM) transmit and receive filter designs, used in implementations of this invention lead to simpler implementations than implied by communication matched filter theory and by Nyquist minimum bandwidth theories and to substantially improved performance for RF power efficient NLA transceivers. From communications theory, numerous books, referenced publications as well as from patents it is well known that for “optimum” performance the cascaded filters of the modulator should be matched by the cascaded receive demodulator filters. For example, in a conventional bandlimited QPSK system, if Nyquist filters are implemented as “raised cosine filters”, then the best “optimal” performance is attained if the cascaded transmit and receive filters have a raised cosine transfer function and the filtering is equally split, i.e. “matched” between the transmitter and receiver. For pulse transmission, such as filtered NRZ data an aperture equalizer, having an wTs/sin(wTs) frequency response is used in theoretical optimal transmitters, prior to the implementation of the transmit matched filter. Specifically, based on Nyquist transmission and filter theories, combined with matched filter receiver theories the 3 dB cut-off frequency of an optimal minimum bandwidth transmit filter, used as a baseband I or Q channel filter, in a QPSK system equals 1 of the symbol rate or alternatively ¼ of the bit rate. The 3 dB bandwidths of the modulator and demodulator filters of the “theoretical optimal” bandlimited QPSK system are matched. The 3 dB bandwidth of the theoretical optimal system it is the same for the modulator filter and for the demodulator filter. If these filters are implemented by pre-modulation LPFs and post-demodulation LPFs then the aforementioned theoretical bandwidth corresponds to BTs=0.5. This value corresponds to BTb=0.25, where B is the 3 dB bandwidth of the respective filters, Ts is the unit symbol duration and Th is the unit bit duration. 
     Contrary to the teachings of the aforementioned optimal performance matched filter modulation demodulation theory, we disclose the implementation of demodulator architectures and embodiments with “Mis-Matched” (MM) filtering, and specifically for agile (bit rate) cascaded mis-matched (ACM) implementations. The term Mis-Match (MM) refers to intentional and substantial MM between the cascaded 3 dB bandwidth of the I and Q demodulator filters and/or to the MM with respect to the Nyquist theory stipulated bandwidth. with that of the cascaded response of the modulator I and Q filters. Alternate embodiments include MM pre-modulation baseband LPF and post-demodulation baseband LPF designs as well as post modulation BPF transmitter implementations and receiver pre-demodulation BPF implementations. A combination of the aforementioned baseband and BPF designs has been also implemented. The term “substantial” MM in a BRA architectures and embodiments such as shown in the alternate implementation diagrams in FIG. 6 or FIG. 7 or FIG. 10 to FIG.  15  and/or FIG. 25 or FIG. 30 implies typically more than about 30% mis-match between the respective 3 dB cut-off frequencies of the transmit and receive filters, but this value is exemplary and is not a limiting amount of mis-match. 
     One of the best known BRA implementations of FQPSK systems is designated as the “FQPSK-B”family of transceivers. In this section, several best embodiments of FQPSK-B Transceivers, operated in NLA systems are described. The implementation of the FQPSK-B embodiment, described in this section has BRA, CS and MFS architecture with substantially MM modulation and demodulation filters. The modulator TCS response processors cascaded with the LR filters and the demodulation filters are Mis-matched (MM). In this FQPSK-B implementation a cross-correlation factor of A=0.7 has been implemented between the I and Q baseband TCS response processors which are cascaded with the LR filters. The TCS wavelets and assembly of the TCS wavelets has been described in the Kato/Feher patent Ref. [P5]. A resulting I and Q cross-correlated data pattern of this implementation, at the TCS processor output and prior to the BRA LR filters is shown in FIG. 5 as TCS data patterns S 7 (t) and S 8 (t) having a cross-correlation parameter A=0.7. The I and Q baseband signal patterns are generated with several structures and elements, described as parts of this invention. The aforementioned TCS signal patterns are available at the outputs of the following elements: in FIG. 6 at the output leads of TCS  6 . 5 , in FIG. 7 at the output leads of D/A Units  7 . 8  and  7 . 11 . In FIG. 8 at the output leads of units  8 . 7  and  8 . 8 . In FIG. 10 b  at the output leads of the D/A converter units  10   b . 17  and  10   b . 18 , and in FIG. 15 at the output leads of D/A converter (designated as DAC&#39;s) units  15 . 7  and  15 . 14 . 
     In one of the aforementioned “best performance” alternative implementations the TCS response I and Q processors were cascaded with LR filters, which have been implemented as a selectable bank of switchable Bessel or Butterworth filters and/or BRA filters with FIR and IIR Butterworth response implementations. The 3 dB bandwidth of these BRA transmit I and Q baseband filters, i.e. LR filters, has been set in the BTs=0.7 to BTs=1.2 range. In the BRA receiver the I and Q post-demodulation baseband LR filters were designed to approximate lowpass 2nd order to 10th order Butterworth, Bessel or other ACM filters having 3 dB cut-off frequencies at BTs=0.4 to BTs=0.8 range. Thus, in this embodiment of one of the sets of FQPSK-B modulator and demodulator filters, operated in NLA systems, intentionally “Mis-Matched” (MM) demodulation filters to that of the modulation filters were implemented. In fact, the intentional filter Mis-match in this case is in the 50% range. 
     The aforementioned BRA, MFS, CS and intentional Mis-matched (MM) implementations and embodiments of four state FQPSK Transceivers, operated over NLA systems are applicable to Multi-State NLA systems, described in later sections. 
     In FIG. 7 one of the alternate implementations of Bit Rate Agile (BRA) transmitters is shown. The illustrated embodiment of the current invention uses a variation and alternative implementations of the “Basic Cross-Correlator” (XCor) and post cross-correlation processors, as disclosed in prior patents of Feher et al., with several original embodiments described in conjunction with FIG.  7 . In cascade with the basic Xcor which implements TCS response processed cross-correlated or TCS not-cross-correlated signals is a second set of LR filtered processors. In cascade with the 2 nd  processor and with Digital to Analog (D/A) converters are pulse shaping bit rate agile LR filters, implemented as Low-Pass-Filters (LPF) or other type of filters in the I and Q channels. As stated previously, BPFs, HPFs or other types of processors/filters could replace the LPFs. On lead  7 . 1  is the input signal to unit  7 . 2 , which implements S/P, DE and Gray encoding and/or other logic functions. Logic  7 . 3  is a cross correlator that is used to cross correlate I and Q signals. The duration of the cross correlation processor and implementation of the basic Xcor is selectable in the current invention. It is selectable in a wide range, from zero, i.e. no cross-correlation to a fraction of a bit interval, and is adjustable and/or selectable up to many bits and/or symbols. In some of the alternate implementations of FIG. 7 the entire cross-correlation Unit  7 . 3  designated as “Logic” is not used, that is, it is deleted from FIG. 7, in the generation and assembly of the TCS response signals, provided by the signal generator set  7 . 4 . In logic/cross-correlator  7 . 3  six symbol shift registers are shown for the I and Q channels. As stated in alternative embodiments the cross correlation is deleted. The basic signaling elements, also referred to as wavelets, designated F 1 , F 2 , . . . , F 16  are generated and/or stored by a set of signal generators or storage devices designated as  7 . 4 . The aforementioned storage units or wavelet generators are implemented in one of the alternate embodiments with ROM and/or RAM chip sets and/or are part of a firmware and/or software program. In certain embodiments a fairly large number of wavelets are generated, i.e., a set of S 0 , S 1 , S 2 , . . . , S 63  or even more wavelets are generated, while in other embodiments only 2 or 4 signaling elements (wavelets) are used. In alternate implementations instead of generating and/or storing separate and distinct signals or “wavelets”, a very small number of wavelets is stored and their inversions in terms of amplitude inversion and time inversions are used. In the embodiments of the current invention the elements are suitable for BRA and ACM operation. Units  7 . 5  and  7 . 6  are designated as two multiplexes and are embodied in some implementations as a single integrated multiplexer unit or more than one unit. In one of the embodiments all digital processors, including units  7 . 2  to  7 . 16  are implemented as a single function and unit. Unit  7 . 7  is a second processor and provides for optional additional cross correlation and amplitude limiting, also designated as signal clipping or Peak Limiter(PL). PL are implemented by clipping devices and/or other commercially available prior art nonlinear devices. Other conventional devices described previously in these specifications as well as in the prior art literature embody units  7 . 8  to  7 . 13 . Amplifier  7 . 15  provides the RF modulated signal to the antenna  7 . 17  through a switch and/or combiner or splitter  7 . 16 . 
     In FIG. 8 a Quadrature Modulated (QM) Transceiver embodiment of this invention is shown. On lead  8 . 1  the input signal is provided to the optional S/P and/or DE and/or Logic/Coding processor  8 . 2   a . Unit  8 . 2   b  is an optional (Opt.) Xcor, designated in FIG. 8 as Xcor  1 . Unit  8 . 2   b  provides I and Q signals through the optional offset delay, DI unit  8 . 3  or optional bypass switch  8 . 4  for further processing to units  8 . 5  and  8 . 6 . Units  8 . 5  and  8 . 6  implement one or more I and Q processing operations of Intersymbol Interference(ISI) and Jitter Free (UF) signals such as cross-correlated amplitude-adjusted IJF signals or other TCS cross-correlated and/or non-cross-correlated signals including binary and multilevel SQAM signaling elements in cascade with LR filter subsystems such as IIR and/or FIR processors which are operated in a BRA mode. Units  8 . 7  and  8 . 8  are D/A optional single shared D/A, or multiple D/A converters that provide signals to the second set of filters  8 . 9  and  8 . 10 . Analog, digital or hybrid hardware, software or firmware in unit  8 . 11  implements an optional cross correlator. The I and Q output signals of  8 . 11  are provided as baseband drive signals of the QM  8 . 12 . Local Oscillator (LO)  8 . 13  provides the RF unmodulated CW to the QM. The QM provides to Amplifier  8 . 14  a signal for amplification to antenna  8 . 15  or to the transmission medium. One of the embodiments has a very simple/efficient implementation of the TCS response cross correlated transmit (Tx) processor with only 4 samples/symbol and only three (3) wavelets. 
     In FIG. 9 Peak Limited (PL) and other TCS response signal patterns of this invention as well as that generated by the prior art Superposed Quadrature Modulated Baseband Signal Processor (“SQAM”) Seo/Feher&#39;s U.S. Pat. No. 4,644,565, Ref. [P4] are illustrated. Signal pattern designated as  9 . 11  is a conventional prior art NRZ signal, while TCS pattern  9 . 12 , if it is not cross-correlated with an other signal or not cascaded with a LR processor, represents a processed prior art SQAM generated baseband signal wavelet pattern. If the TCS pattern  9 . 12  signal is connected to BRA one or more filters, including LR filters and/or ACM Processor&#39;s and it is part of I and Q cross-correlated signal generators and BRA processors, then it is a new implementation of this invention, having a substantially enhanced bandwidth efficient signal. Signal pattern  9 . 12  is reproduced as signal pattern  9 . 13 . The dotted line of signal pattern.  9 . 14  illustrates the TCS processor and cascaded Long Response (LR) filtered output sample signal pattern. The  9 . 14  LR filtered signal pattern is more spectrally efficient than the  9 . 12  TCS response signal, however it may contain more Intersymbol-Interference (ISI), more Data Transition Jitter (for short “Jitter”) and higher signal peaks than the TCS signal pattern. A PL or “Clipped” signal pattern  9 . 16  of this invention is illustrated with dotted lines adjacent to signal pattern  9 . 15 . Signal clipping and/or smooth gradual or soft PL or abrupt peak limiting of TCS, and/or of TCS response processors cascaded with LR filters and/or cross-correlated signals reduces the overall signal excursion of the peak to peak amplitude variation of the I and Q signals. It also reduces the envelope fluctuation of the I and Q modulated signal. Applications include I and Q analog and digital signals, including Orthogonal Frequency Division Multiplexed (OFDM), clear mode non-spread spectrum as well as spread spectrum signals, such as CDMA and also TDM or TDMA, CSMA and FDMA architectures. 
     A Cross-Correlated (Xcor) embodiment of this invention for a BRA architecture, and also suitable for ACM operation, is shown in FIG. 10 a . It is suitable for several classes of FQPSK, FMOD, FGMSK, FMSK, FGFSK and FQAM implementations. The implementation includes Gaussian LPF and Integrator and/or other filter processor as well as sin and cos look-up and/or other “look up tables”. BRA implementations and implementation of TCS and LR filtered/processed Cross-Correlated (CC) baseband I and Q signals and the corresponding Quadrature Modulator (QM) and RF amplifier (Amp) are included in the embodiment of FIG. 10 a . The aforementioned term “look up tables” refers to TCS response wavelet storage and/or wavelet generation units. In alternate embodiments the sin and cos wavelet generators and/or wavelet storage and readout units are replaced with other wavelets than the aforementioned sin and cos function generated wavelets. On lead  10   a . 1  an input analog, digital or mixed signal is provided to Unit  10   a . 2  also designated as Filter  1 . This filter as well as other components of the transmitter are Clocked/Controlled and/or Sampled by one or more  10   a . 3  signals, designated for short by the letter C. Filter  1 ,  10   a . 2  is a Gaussian shaped, Butterworth, Bessel or other filter or combination of filters and processors and it is configured in LPF, BPF or HPF mode. Unit  10   a . 4  is a second signal processor. It embodies an Integrator or some TCS signal shaping units and/or LR filter ACM implementation. Splitter  10   a . 5  splits the signal into I and Q signals and it may implement the splitter and/or Serial to Parallel (S/P) converter and variations of elements  2 . 10  to  2 . 15  and/or  2 . 24  to  2 . 33  of FIG.  2 . The I and Q signals provided by the  10   a . 5  splitter output are further spectrally shaped and limited by the set of I and Q channel LPF&#39;s, designated as Filt  2 I and Filt  2 Q. These optional (Opt.) F 2 I and F 2 Q Bit Rate Agile Filter(BRA) elements  10   a . 6  and  10   a . 7  in FIG. 10 a  are TCS and/or Long Response(LR) filters, where the term “Long Response” refers to the typically longer pulse and/or impulse response of the LR filters than that of the TCS filters. This cascaded TCS and conventional filter approach is applicable for bit rate agile spectrum enhanced GMSK signal generations, also designated as FGMSK containing elements related to U.S. Pat. No. 5,789,402 (for short &#39;402); however, with the new single or multiple ACM Cross-Correlated (X) Single or Multiple Cos (C) and Sin (S) and/or Inverter (I) (for short “XCSI” and/or Peak Limiter (PL) processor components of this new invention. 
     The second optional (Opt.) filter set is  10   a . 6  and  10   a . 7 . This set provides for processing of the I and Q signals provided by  10   a . 5 . The XCSI unit  10   a . 8  cross-correlates the aforementioned I and Q signals with a C driven clock/sample/control and provides for selectable amount of cross-correlation between the I and Q channels, including for a cross-correlation reduced to zero, i.e. no cross-correlation between the TCS and LR processed signals. In some of alternate embodiments of this invention there is no cross-correlation apparatus used. In units  10   a . 9 I and  10   a . 9 Q optional additional filtering processing is implemented by optional units F 3 I and F 3 Q. These units provide optional ACM filtered/processed BRA cross-correlated or not-cross-correlated I and Q signals to the Quadrature Modulator unit  10   a . 10  which in turn provides the signal of amplification to Amplifier (Amp)  10   a . 11  and to output port  10   a . 12  for signal transmission or broadcasting. The output port is represented by connector  10   a . 12 . 
     Another alternate circuit implementation of this invention is shown in FIG. 10 b . Included are the implementation blocks for the implementation of Cross-Correlated (X) Single or Multiple Cos (C) and Sin (S) and/or Inverter (I) (for short “XCSI”) and of an XCSI which includes one or more optional Peak Limiter (PL) and single or multiple XCSI Single or Multiple Cross-Correlated (X) Cosine (C) or Sin (S) and/or Inverter (I) and/or Peak Limiter (PL) processors disclosed in this figure. On lead  10   b . 11  an input signal designated as Din is present. This Din signal could be a binary digital data stream or it could be a multistate discrete or digital signal or it could represent an analog or mixed analog/digital single signal or multiplexed signals, such as OFDM digital signals or an Analog to Digital (A/D) Converted data signal. Unit  10   b . 12  is an optional Differential Encoder (DE) or another type of encoder, e.g. FEC encoder or trellis encoder. The term “optional” means that in some alternative embodiments of this invention it is included, in other embodiments it is not. Switch (SW I) unit the Encoder DE may be by-passed i.e. not required. Unit  10   b . 14  is a clocked digital and/or analog implemented device which shifts the delayed data from SD by clocked/sampled and controlled (for short “C”) delay/storage and/or shift Register which performs the Shift Data(SD) functions. Based on the C signal the signal is shifted from SD 1  to SD 2  to SD 3  and so on to SDn. 
     The single or multiple signal outputs from SD 1  to SDn are provided to  10   b . 15  for decoding and Signal Element and/or signal selection by the signal Multiplexer (MUX). Counter Up/Down unit  10   b . 21  is also processing the signals from SDn as well as the Clock signals (C). The Up/Down counter  10   b . 21  provides control signals to Decoder and MUX Switch  10   b . 15  and to the XCSI unit as well as optionally to the D/A converters  10   b . 17  and  10   b . 18 . The signal(s) provided by the Up/Down counter are used for bit or symbol or signal polarity inversion and are useful in the simplification of the processors and reduction of the memory requirements. Unit  10   b . 16  implements functions such as Cross-Correlated (X) Single or Multiple Cos (C) and Sin (S) and/or Inverter (I) (for short “XCSI”). The XCSI may include one or more optional Peak Limiter (PL) and single or multiple XCSI Single or Multiple Cross-Correlated (X) Cosine (C) or Sin (S) and/or Inverter (I) and/or Peak Limiter (PL) processors. The aforementioned functions of  10   b . 16  are implemented in one of the embodiments by conventional Field Programmable Gate Array (FPGA) devices and/or by chips which may include memory storage units such as RAMs or ROMs or the storage devices might be separate and distant components from the logic devices and/or FPGAs. Conventional FPGA ROM, RAM products exist for several years, including but not limited to units manufactured by XILINX, INTEL, ALTERA and many other corporations. The entire embodiment of FIG. 10. b  has also implemented by combinations of readily available Digital Signal Processor (DSP) units available from Texas Instruments, Motorola, and many other organizations. Alternative embodiments of FIG. 10. b  are components and/or functionalities implemented by software, firmware and hardware. In one of the FQPSK-B transmitter embodiments of FIG. 10 b  a software-generated implementation was downloaded into a mixed firmware/hardware digital processor which contained the D/A converters, units  10   b . 17  and  10   b . 18 . The Long Response (LR) filters connected to the D/A output I and Q signals were implemented by Bandwidth Tunable (BT) digital filters  10   b . 19  and  10 . b   20 . In the aforementioned implementation architecture, also known as a “Software Radio,” the software was “MatLab” based software. In one of the alternative embodiments the LR filters were implemented by BRA filters including conventional prior art IIR and FIR filters. Another embodiment of the entire FIG. 10 b  is by analog components without the need for D/A conversion. The differential encoder and the Shift Data (SD) embodiments  10   b . 14  as well as implementation of  10   b . 16  are by analog components such as illustrated in variations of FIG.  12  and FIG.  13  and/or by use of analog Charged Coupled Devices (CCD). 
     In FIG. 11 a . 1  a conventional Non-Return to Zero (NRZ) signal pattern is illustrated in  11   a .l. In  11   a . 2  a modified Return to Zero (RZ) pattern designated as Feher Return to Zero (FRZ) data pattern is shown. Both of the NRZ and FRZ signals are Time Constrained Signals (TCS). The FRZ signal  11   a . 2  has an adjustable amount of Delay (D) for the forced transition instance from the logic state 1 to logic state 0. The FRZ signal is used in some of the TCS embodiments,  11   a . 3  while in other TCS architectures FRZ is not in use. One of the advantages of FRZ signals is that they may contain discrete lo spectral lines and have a more robust performance in RF time dispersive or frequency selective faded systems if used in conjunction with modulators/demodulators, including but not limited to quadrature modems. The FRZ signal contains, in some embodiments, non-symmetrical or asymmetrical rise and fall times and even pulse shapes. The TCS unit  11   a . 3  has as its inputs one or more signals as well as the “C” signals where C designates optional clocks, and/or sampling including over- and/or under-sampling signals and/or other control signals. The TCS processor in one of the embodiments generates Non-Cross-Correlated (NCC) signals while in another embodiment Cross-Correlated (CC) signals are generated in unit  11   a . 3 . In the case of digital processing such as FPGA and/or ROM and/or RAM, digital implementations D/A converter(s)  11   a . 4  are provided. In one of the embodiments a single D/A is implemented. The single D/A is providing time shared or time multiplexed signals as I and Q inputs for Quadrature Modulation (QM). Prior to QM an optional analog processor and/or filter with possible BRA clocked operation,  11   a . 5 , is implemented. The QM  11   a . 6  provides BRA quadrature modulated signals to optional amplifier or cascaded amplifiers  11   a . 7  which could operate in a linear mode or partly linearized mode or in a fully saturated NLA power efficient mode. The aforementioned amplifier provides the signal to the Antenna  11   a . 8  or alternatively to the output port  11   a . 9  for signal transmission. 
     An alternate embodiment is shown in FIG. 11 b . The implementation of a Bit Rate Agile (BRA) pre-processor with single or multiple wavelets (also designated as) Signal Element (SE) storage and/or inverter and of filtered SE and ACM processors is illustrated. On leads  11   b . 1  and  11   b . 2  respectively the Data Inputs (DI) and Clock (C) inputs are shown. Here the terms “Data Inputs” are synonymous with one or more digital or analog or hybrid combined digital/analog signals having 2 or more signaling states. The term “Clock” or for short “C” is synonymous with one or more clock signals, sampling and control signals as mentioned elsewhere in this disclosure. Pre-processor  11   b . 3  stores I and Q Signal Elements (SE) for BRA operation optionally controlled and/or clocked/sampled by the  11   b . 2  and  11   b . 4  signals/clocks. The pre-processor unit  11   b . 3  stores in one of the embodiments a large number of separate and distinct Signal Elements (SE), also designated as “wavelets”, and provides the selected SE in appropriate order to the  11   b . 5  single or multiple D/A converter(s). The D/A converter (S) provides to unit(s)  11   b . 6  and/or  11   b . 7  I and Q signals for further BRA operation. Selectable filters designated as  1  to N and/or a bank of filters are used in one of the ACM embodiments of  11   b . 6  and  11   b . 7  and provide the I and Q signals to ports  11   b . 8  and  11   b . 9 . 
     In FIG. 12, including  12   a  and FIG. 12 b  predominantly analog components used in analog implementations and embodiments of this FQPSK and related transceiver embodiments are shown. In addition to some of the active components depicted in these figures, embodiments of the virtually same functions as those with analog components are implemented with passive analog components. The individual components are conventional off-the-shelf available components described in detail in prior art publications including patents and detailed descriptions of these components are superfluous. In particular in FIG. 12 a  analog implementation components for cross-correlated and non-cross-correlated BRA processed TCS and/or LR filtered and/or ACM signals are shown. In FIG. 12 a  unit  12   a . 1  is a “COS” that is cosine or sine wave generator. One of the well-known embodiments of  12   a . 1  is a readily available analog Free Running Oscillator (FRO). Unit  12   a . 2  is a “Direct Current” (DC) source while  12   a . 3  and  12   a . 4  represent an alternate COS source and a Square Wave Source, respectively. Even though COS and SIN sources are illustrated as separate components, embodiments include single source COS or SIN sources/generators which may be converted to Triangular Square Wave or other periodic or non-periodic sources. The aforementioned signal sources or signal generators are connected in a variety of configurations such as the exemplary embodiments of FIG. 12 a  and FIG. 12 b  to components such as multipliers, amplifiers, switches, attenuators, inverting amplifiers and “DC shift” units  12   a . 5  to  12   a . 12  for processing and providing signals for further processing including selective switching or combining. 
     In FIG. 12 b  another analog BaseBand (BB) embodiment using predominantly analog components is illustrated. Units  12   b . 1  to  12   b . 5  are signal sources such as previously described. Unit  12   b . 6  is a previously described clock/sample/controlled source abbreviated with the letter C. Unit  12   b . 7  provides selection and/or combinations and permutations of the signal sources with amplitude adjustments of the aforementioned signal sources which operate at the same rate in some embodiments and operate in asynchronous non-related bit rates to each other in other embodiments. Unit  12   b . 7  provides one or more signals to standard and readily available components such as  12   b . 8  to  12   b . 24 . These components provide inputs to the “select” or “combine” unit  12   b . 25  which has at its input optional Control (CTL), Clock Bit Rate (CBR) and Control Sampling Time (CST) signals. One or more of these signals, by itself or in combination, may constitute multiple inputs and are synonymously further abbreviated and designated as “C” in several parts of this invention. Units  12   b . 26  and  12   b . 27  provide further signal processing for the outputs of  12   b . 25  and generate I and Q output signals. 
     In the embodiment of FIG. 13 a  an implementation comprising mixed analog and digital circuit components is shown. On lead  13   a . 1  the data input or DIN provides two  13   a . 2  signals for multiplexing control/logic processing and memory. In one of the embodiments, logic processing and memory storage/processing converts the input signal to a Trellis Coded (TC) baseband signal. Control signals present on leads  13   a . 3  serve as one of the inputs to the N by M (N×M) channel multiplexer and cross correlator and/or other TCS unit  13   a . 6 . Analog inputs of  13   a . 6  could be generated by unit  13   a . 4  and further processed by analog components such as the set of components  13   a . 5  of this particular embodiment. Units  13   a . 7  and  13   a . 8  provide additional digital timing bit rate and sample clock scaling, n/m rate division and miscellaneous logic functions embodied by standard logic gates and/or DSP and/or Analog Signal Processing (ASP) components. 
     In FIG. 13 b . 1  an alternate analog and combined analog/digital implementation of Cross Correlated Signals (CCS) and of other TCS signals including but not limited to Trellis Coding (TC) and other encoded and/or other encoding processed ACM signals and embodiments are shown. Unit  13   b . 1  provides a TCS logic and/or cross correlation between I and Q signals and provides processed signals to decoder  13   b . 2 . The analog basic Signaling Elements (SE) are generated by conventional analog sources including analog sources described in conjunction with the previous figures and the set of one or more components from the optional set of switches and/or amplifiers designated as  13   b . 3 . Unit  13   b . 4  selects appropriately assembled signals based under the control of “C” signals and decoder outputs and provides the Iout and Qout signals. 
     In FIG. 13 c  a structure for BRA and TCS I channel signal generation is illustrated. In this embodiment the TCS components are embodied by predominantly analog components based on the prior art U.S. Pat. No. 4,644,565 issued to Seo/Feher, and cited as reference [P4]. In this new invention the basic signal element generator has on its input leads  13   c . 1  and  13   c . 4  NRZ or FRZ input data and clock inputs respectively. Components  13   c . 2  to  13   c . 6  are conventional delay elements MUX control logic, filters such as BPF 1  and BPF 2  and inverting amplifiers connected to a 4 or more channel MUX. The processed analog or digital signal is connected to a Long Response (LR) filter  13   c . 8  which in turn provides an output lead  13   c . 9  an I or a Q signal for further processing in an optional ACM processor. 
     FIG. 14 shows an alternate design of the current invention including a bank of switchable filters/processors with Linearized Phase or Phase Linear (PL) and Not Linear Phase (NLP) Filters. Phase Linearization Components may be entirely deleted or, if included in this implementation, they may be switched in and out in this hybrid analog and digital transmit implementation of the transmitter. Unit  14 . 1  is the embodiment of a TCS processor for time constrained signals with or without cross correlation implemented for FQPSK or FGMSK or FQAM or FMSK or related BRA signals. The output(s) of the  14 . 1  TCS processor provides one or more signals to the optional D/A unit  14 . 2 . The outputs of the single or multiple D/A or of  14 . 1 , in case  14 . 2  is not used, are provided to the cascaded I and Q filters and Switches  14 . 3  to  14 . 5 . While the filters are indicated as LPF- 1  to LPF- 3 , they have been implemented as low-pass, band-pass and high-pass filters providing the LR pulse response with or without phase equalization. 
     These filters may be designed for Agile Cascaded Mis-Matched (ACM) systems. An alternate embodiment comprises TCS unit  14 . 6  connected through optional D/A unit(s)  14 . 7  to the bank of  14 . 8 ,  14 . 9  and  14 . 10  selectable or combined switched phase equalized or non-phase equalized parallel and/or cascaded units LPF- 1 I, LPF- 1 Q to LPF-M 1  and LPF-MQ filters. On output ports  14 . 11  and  14 . 12  the processed I and Q signals of the aforementioned particular embodiment of this invention are available for further processing. 
     In FIG. 15 one of the predominantly digital BRA and ACM alternative implementations is shown. The embodiment of digital processor based implementation, followed by one or more D/A converters and BRA Long Response (LR) filters are shown in the architecture of FIG.  15 . The block diagram of FIG. 15 is an alternative embodiment of this invention having a TCS signal generator in cascade with the 2 nd  processor set of bandwidth spectral shaping LR filters. The LR filters are designated as LPF. The embodiments include analog and digital LR filters including combination and selections between LPF, BPF and HPF and other analog or digital filters. Data encoder  15 . 1  has at its input the “Input Signal” and the “C” signals. For simplification reasons of this and some other figures of this invention, the C signals are not always drawn on the respective figures and are not connected in the diagrams to all of the possible inputs. Following data encoding, implemented by conventional digital and/or analog components and/or DSP and/or software or firmware, the signals are provided to an encoding/logic processor which could contain a Shift Register (SR) unit  15 . 2 . A flag generator provides one of the output bits to waveform select logic  15 . 4  for processing. Address generators  15 . 6  and  15 . 9  provide addressing information to ROM units  15 . 5  and  15 . 6 . The ROM units are sampled and their content read out to DAC (Digital to Analog Converters)  15 . 7  and  15 . 14 . The outputs of the DAC units are provided to units  15 . 8  and  15 . 15  for further filtering and providing the output signals to ports  15 . 16  and  15 . 17 , the ports for the I and Q signals, respectively. 
     In one of the alternate Field Programmable Gate Array (FPGA) based implementations of the TCS processor of FQPSK and FGMSK readily available Xilinx Chip Model No. SC4005PC84-6 has been used. While in an other embodiment Xilinx SC4000FPGA was used. Other implementations used Alterra and Intel devices. The wavelets used in one of the designs used 16 samples for 1 symbol time Ts duration while in an other embodiments used only 4 samples for 1 symbol time Ts. Each sample was encoded in one of the implementations into 10 bits/sample with D/A converters having 10 bit resolution, in other cases 4 bits/sample were used. 
     In one of the embodiments of FIG. 15, a data encoder, 4-bit shift register, I and Q waveform select logic, address generators based on ROM implemented components, D/A converters, Clock. and Sampling Generators and. output latches are used. This particular design does not use a half-symbol physical delay component in one of the (I or Q) baseband channels. Rather, the half-symbol offset between the I and Q channel output waveforms is obtained by appropriate waveform selection procedure. In this illustrative design the following was implemented: 
     Clock Generators: The circuit used 2 clocks, the bit clock, which operates at the GSM standardized input bit rate of Fb=270.833 kb/s and since the waveforms were 8 times over sampled per bit duration(Th), that is 16 times per symbol duration(Ts), another higher rate clock which is 8 times higher than the bit rate Fb corresponding to 2.166 MHz was used. 
     Data Encoder: The data encoder differentially encodes the input data. 
     Four bit Shift Register and Flag Generator: 4 data bits and 1 flag bit are used for the wavelet selection logic. The flag bit alternates between a 1 and 0 per bit time. 
     Waveform Select Logic: Depending on the 4 input data bits and 1 flag bit, the logic selects the appropriate waveforms. 
     Address Generator: The address generator is a count UP or count DOWN binary counter which counts from 0 to 8 to select each sample of the selected waveform. 
     Minimized waveforms are used for memory saving. 
     ROM: Only 3 waveforms were stored in the ROM memory in this exemplary embodiment of the TCS processor of FIG. 15 because of the symmetry properties of the FQPSK waveform. The 3 waveforms (also designated as “wavelets”) stored had values between −1 to 0, −0.707 to 0, and −1 to −0.707. The cross-correlation parameter was set to A=0.707; Ref. [P5]. The HOLD signal generates the 4 th  waveform at + or −0.707 by holding the 0.707 sample. The I/Q decoder logic generates signals to select a particular waveform, to count UP or DOWN and/or to invert the waveform. 
     Output Latch and DAC: The output latch is used to attach the output sample from the ROM. The output of the latch is fed as input to the DAC. In this design a 10-bit DAC was used. 
     In FIG. 16 “Wavelets” or Basic Signaling Elements (SE), for FQPSK designated also as “Wavelets” and/or “Signal Components” or merely “Signals” are shown. This FIG. 16 depicts TCS Wavelets for enhanced performance FQPSK signal generation with a Cross-Correlation of A=0.7 and in particular for TCS wavelets with only four (4) signaling elements required for storage—suitable for high speed and integrated TCS and cascaded filter LR processing solutions. The appropriately assembled I and Q cross-correlated TCS sequence is provided to BRA Long Response (LR) filtering of I and Q channels. Signals  16 . 1 ,  16 . 2 ,  16 . 3  and  16 . 4  in FIG. 16, also designated as S 1 , S 2 , S 3  and S 4 , are illustrated across one symbol interval. For 4 signaling state systems one symbol corresponds to two bits, thus Ts= 2 Tb in duration. The S 1  to S 4  signals could be sampled and stored 4 times per symbol, i.e., 2 times per bit or at other sample intervals. The sampled signal wavelet values are stored in architectures containing memory devices. Signal element or “wavelet” S 4 , designated as  16 . 4 , is simply a DC component in this particular embodiment. In some of the TCS embodiments S 1  to S 4  are cross-correlated between the I and Q channels and have continuous derivatives at the signal transitions, while in other embodiments the TCS signals are not Cross-Correlated. Alternate embodiments have a more or lesser number of wavelets than illustrated in FIG.  16 . 
     An implementation of FQPSK baseband signal processor&#39;s taking advantage of inverse and symmetrical properties of its waveforms is described in this section related to previously described figures and embodiments and in particular in relation to FIG. 15, FIG.  16  and FIG.  17 . Instead of the storing all the basic entire or whole “Wavelets” of the baseband signals, one of the implemented designs with ROM lookup table uses only 3 “basic” wavelets. To simplify the implementation of cross-correlated FQPSK baseband signals, we use the symmetry properties of the wavelets and the hold function for DC value. In the design there is a half-symbol delay between the I and Q channels so that the ROM contents in I and Q channels are the same. FQPSK and FGMSK eye diagrams at the TCS output and also at the cascaded TCS and LR filters are shown in FIG.  19 . As a specific design and teaching example the TCS generated eye diagram of an FQPSK signal with an A=0.707 cross-correlation parameter is shown in FIG.  19 ( c ). Such an eye diagram is measured and/or computer generated at the output of the embodiments shown in FIG. 10 or FIG.  11  and/or other disclosed embodiments, including at the outputs of the LR filters in BRA operation of the implementation of FIG. 15, provided that the D/A converter has a good resolution accuracy e.g.  8 bits/sample and that the LR filter units  15 . 8  and  15 . 15  of FIG. 15 have a considerably higher cut-off frequency than the inverse of bit rate. It can be seen that in the FQPSK eye diagram of FIG.  19 ( c ) there are 10 kinds of waveforms or wavelets during half-symbol duration (from 0 to 8 or 0 to Ts/2). Thus it is possible to pre-calculate the waveforms directly from the input data. FIG. 15 shows one of the implementation architectures of the designed FQPSK baseband processor using this approach. In FIG. 16 the  3  half-basic waveforms needed to generate all the possible TCS response wavelets for FQPSK are shown. Based on the symmetry and inverse properties of the whole set of the wavelets illustrated in FIG.  19 ( c ), instead of 10 only 3 waveforms plus a DC value (holding function for DC value) are required. In this design, 4 samples/symbol (or 2 samples per bit) are used to implement the waveforms of FQPSK. 
     Table 1 lists the values of these 3 half-basic waveforms in which 8 samples per half-symbol are shown, but only 2 samples per half-symbol marked by * are used in our design. In one of the hardware design embodiments a data rate of approximately 271 kb/s (GSM standard rate) and 4 samples/symbol (or 2 samples per bit) were used to generate FQPSK waveforms in the Xilinx chip. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 Exemplary Values of Three Half-Basic FQPSK Waveforms 
               
            
           
           
               
               
               
               
               
            
               
                   
                 No. 
                 Values of S1 
                 Values of S2 
                 Values of S3 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 
                 −0.70711* 
                 −1.0* 
                 −1.0* 
               
               
                   
                 1 
                 −0.69352 
                 −0.98079 
                 −0.98885 
               
               
                   
                 2 
                 −0.65328 
                 −0.92388 
                 −0.95717 
               
               
                   
                 3 
                 −0.58794 
                 −0.83147 
                 −0.90960 
               
               
                   
                 4 
                 −0.50000* 
                 −0.70711* 
                 −0.85356* 
               
               
                   
                 5 
                 −0.39285 
                 −0.55557 
                 −0.79751 
               
               
                   
                 6 
                 −0.27060 
                 −0.38268 
                 −0.75000 
               
               
                   
                 7 
                 −0.13795 
                 −0.19509 
                 −0.71826 
               
               
                   
                 8 
                 0.0* 
                 0.0* 
                 −0.70711* 
               
               
                   
                   
               
            
           
         
       
     
     With respect to Table 1 which shows exemplary values of three Half-Basic FQPSK Waveforms, there are three waveforms stored in the ROM for the transmitter designated by S 1 , S 2  and S 3 . Note that there are nine sample values in the half-symbol duration, but only one sample value of # 1  and # 9  is read out from the ROM at the same time, depending on the function of count-up and count-down. So there are eight different samples per half-symbol instead of nine. In our design only two samples marked by * per half-symbol are used, or 4 samples per symbol. 
     Equation for S 1  is: 
     
       
           y ( t )=− A  cos(pi  t/Ts ) 
       
     
     Equation for S 2  is: 
     
       
           y ( t )=−cos(pi  t/Ts ) 
       
     
     Equation for S 3  is: 
     
       
           y ( t )=1−(1 −A ) cos 2 (pi  t/Ts ) 
       
     
     Where: A=0.707 and Ts is the unit symbol duration. 
     In FIG. 17, BRA “Wavelets” for FGMSK are shown. These Gaussian wavelets are suitable for smaller size memory implementations, for bit rate agile GMSK signaling having a BTb=0.5 parameter. This FIG. 17 depicts TCS Wavelets for use in LR filtered enhanced performance reduced spectrum BRA systems. Only four (4) signaling elements are required in this embodiment of the TCS part of the FGMSK processor. With the embodiment of FIG.  15  and other alternate digital and/or analog embodiments these signals can be easily generated even at very high bit rates. The appropriately assembled I and Q cross-correlated TCS sequence is provided to BRA Long Response (LR) filtering of I and Q channels. In FIG. 17 the signals  17 . 1 ,  17 . 2 ,  17 . 3  and  17 . 4 , also designated as S 1 , S 2 , S 3  and S 4 , are illustrated across one symbol interval. For 4 signaling state systems one symbol corresponds to two bits. Thus, Ts=2 Tb in duration. The S 1  to S 4  signals could be sampled and stored 4 times per symbol, i.e., 2 times per bit or at other sample rates. The sampled signal wavelet values are stored in architectures containing memory devices such as the previously disclosed ROM based embodiments. The FGMSK signal shapes have different shapes from the S 1  . . . . S 4  signals illustrated in FIG.  16 . In some of the embodiments for use in FGMSK the S 1  to S 4  wavelets are cross-correlated between the I and Q channels. In other embodiments for FMSK the signals are not cross-correlated, or have different cross-correlation algorithms and embodiments than in FGMSK and/or have continuous derivatives at the signal transitions. Alternate embodiments have a larger or smaller number of wavelets than illustrated in FIG.  16  and in FIG.  17 . 
     In FIG. 18 Differential Encoding (DE) and Differential Decoding (DD) of FQPSK and FGMSK is shown. A difference between the DE of this bit rate agile FGMSK encoder from that of conventional GMSK is in the algorithm difference of these two DE and Corresponding Differential Decoding (DD) embodiments. The new DE for FGMSK is fully compatible and interoperable with conventional OQPSK; the DE of prior art bit rate agile GMSK is not. 
     Eye diagrams shown in FIG. 19 are hardware measured and computer generated diagrams for Cross-Correlated BRA signals at various measurement/display points. The eye diagrams of DE prototype BRA apparatus transmit signals are presented. In FIG.  19 ( a ) FGMSK eye diagrams of I and Q baseband signals with BTb=0.3 are shown prior to the LR cascaded performance enhancement I and Q filters. In FIG.  19 ( b ) eye diagrams of I and Q baseband signals of an FQPSK transmitter, operated in a BRA mode having a cross-correlation parameter A=0.7 after the BRA processor LR filters (I and Q filters) are shown. In this case the LR filters have a relatively high cut-off frequency relative to the symbol rate. In FIG.  19 ( c ) an FQPSK computer generated-eye diagram is illustrated. The I channel eye is shown, for a Xcor. Parameter A=0.7 prior to LR filters. The eye diagram contains only four (4) basic wavelets and represents a TCS eye pattern In FIG.  19 (d) hardware measured FQPSK eye diagrams of I and Q signals are shown for a BRA operation displayed after the LR filters of the I and Q Channels. This particular FQPSK is designated as an FQPSK-B and it has a Xcor parameter A=0.7 followed by I and Q post TCS Low-Pass Filters having LR characteristics. In FIG.  19 ( e ) the measured vector constellation of an FQPSK-B signal after the LR filters processors of an implemented prototype system is shown. 
     Description of Multi-State FQPSK, FQAM, FGMSK and FMSK 
     In this section of the detailed description of this invention the focus is on Quadrature Modulated (QM) multiple signaling state (for short “state”) systems with more than 4 signaling states of the QM signal and more than 2 states in the respective I and Q baseband channels. In the previous section the focus was on the description of QM four (4) state FQPSK systems. These four-state systems have, in general, in the I and Q baseband channels  2  signaling states (for short “states”) in the I channel and 2 states in the Q channel. Most implementations and embodiments of the 4-state systems apply to multi-state (more than 4-state) Quadrature Modulated systems, described in this Section, such as 9, 16, 49 or 64 or 256 state QM systems having 3, 4, 7, 8 and 16 states in their respective baseband channels. The technologies and embodiments described for the multiple state systems are also applicable for the implementations and embodiments of 4-state systems. Forward and Backward COMPATIBILITY and/or interoperability between the 4-state and, more than four-state, multiple state FQPSK and Feher&#39;s Quadrature Amplitude Modulation (FQAM) and multi-state FGMSK and FQPSK systems is a definitive advantage in new product developments. Additionally some of these systems are also backward compatible with the previously patented Feher BPSK (for short FBPSK and FMOD) systems, such as disclosed in [P1] and [P2] and the references in the aforementioned U.S. Patents and cited references. 
     A multi-state QM architecture for 4 or more than 4 states, designated as FQAM is illustrated in the embodiment of FIG.  20 . In this implementation block diagram of an FQAM multi-state Cross-Correlated BRA Transmitter a single RF Amplifier operated in fully saturated NLA mode or Linearized (Lin) mode of operation is used. The Input Signal is connected to an optional Encoder unit  20 . 1 . This unit, if used includes logic processing and Encoding functions such as Trellis Coding or CRC or FEC or DE or Gray Coding, Serial to Parallel conversion and/or other digital processing functions. In one of the embodiments an optional S/P (Serial to Parallel) converter, unit  20 . 2  is included to process the signals received from  20 . 1 . The Signal Mapper  20 . 3  maps the binary signals from 2 states to M states (levels) and includes in some of the embodiments Cross-Correlation between the binary and/or between the converted multi-state signals. The outputs of the Signal Mapper TCS unit  20 . 3  are connected to D/A converters  20 . 4  and  20 . 5 . The D/A Cross-Correlated BRA signals are TCS multilevel Cross-Correlated signals with variable and/or presetteable Xcor. In alternate embodiments no cross-correlation between the I and Q signals is implemented. The D/A outputs are fed to  20 . 6  and  20 . 7  filters, indicated in the drawing as LPF. These filters are LR filters and are implemented with IIR digital or IIR analog filters or a combination of conventional analog or digital filters. The BRA signals, which have been Cross-Correlated and are TCS in cascade with LR signals are provide to the inputs of Quadrature Modulator(QM)  20 . 8 . The QM has an unmodulated Carrier Wave input from unit  20 . 9 . The Quadrature Modulated signal is processed by an optional “Roofing Filter” to remove higher order spurious components and is fed to amplifier  20 . 12  and to antenna  20 . 13  or output port  20 . 14 . An optional Pilot Tone or Multiple Pilots are added to the RF signal by Pilot Generator/adder  20 . 11 . Combining adding of pilot signals is achieved by hardware combiners or by adding Unmodulated signals over the air through a separate antenna. 
     A 16 state FQAM embodiment is illustrated in the implementation architecture and block diagram of FIG.  21 . This architecture can be extended and/or modified to 64 state or to other larger or smaller number of signaling states. In simple terms NLA Quadrature Modulated systems are generated by FQPSK or FGMSK or FMSK type of 4 state QM embodiments (for short the generic term “FQPSK” is also used) as described in earlier sections of this invention. If two NLA four state RF signals are combined than a 16 state NLA signal is obtained. If three NLA four state RF signals are combined than 64 state NLA signal is obtained. If four NLA four state RF signals are combined than a 256 state NLA signal is obtained and the number of signal states can be further increased by the aforementioned extension of the multiple signal combining process. The term “combining” or “Combiner” or RF signal addition in FIG. 21 is accomplished by an RF hardware combiner. Off the shelf, readily available components, such as Hybrid Microwave Combiners, are suitable for hardware RF combining. On lead  21 . 1  in FIG. 21 an input NRZ data signal is provided to the input ports of the Serial/Parallel(S/P) Converter  21 . 2 . Four parallel data signals, designated as I 1 , Q 1  and I 2 , Q 2  are provided to FQPSK (or FGMSK or FMSK) modulators  21 . 3  and  21 . 4 . One of the embodiments and/or implementations of FQPSK previously disclosed in the detailed description of this invention implements 21.3 and 21.4. The FQPSK signals are provided to Optional (Opt) preamplifiers, which operate in Linearized(LIN) or NLA mode. The High Power Amplifiers (HPA)  21 . 7  and  21 . 8  provide the RF amplified modulated signals to RF Combiner  21 . 9 , which in turn provides the NLA combined 16-state signal to the output port  21 . 10 . 
     In Seo/Feher [9] and [P4] and [6; 8] prior art references, implementation architectures of NLA systems operated in 16-QAM, 64-QAM, 9-QPRS, 81-QPRS and other quadrature modulated systems have been described and/or referenced. The aforementioned prior art does not include NLA cross-correlated, filtered and bit rate agile NLA systems for QAM disclosed in this invention, and in particular related to the discussion of FIG.  21  and FIG.  22 . Based on these Feher et al. references, one of the embodiments, is related to the architectures of FIG.  21 . To obtain a 16-state QAM with cross-correlated FQPSK signals that are NLA through HPA 1  and HPA 2 , the RF amplifiers and RF combiner are adjusted to have an RF combined output fed to RF combiner, unit  21 . 9 , which provides the RF combined output  21 . 10 . The RF combined output power generated by unit  21 . 7 —HPA 1  is 6 dB higher than the RF power provided to output  21 . 10  by HPA 2  designated as unit  21 . 8 . 
     FIG. 22 is the implementation architecture of “Over the Air Combined” FQAM signal generation by implementing  2  or more FQPSK and/or FGMSK type of signals. In FIG. 22 instead of the use of a hardware embodied RF Combiner to combine the HPA 1  and HPA 2  signals, the output signals of HPA 1  and HPA 2  are fed to two separate antennas and transmitted as wireless signals “over the air.” In this architecture RF Combining is achieved “Over the Air” that is the RF signals are transmitted over a wireless medium and combined in the receiver antenna. 
     The baseband processor, quadrature modulator and signal amplifiers architecture of the NLA signals, “Over-the-Air Combined,” is closely related to that of FIG. 21 which uses the hardware RF combiner. The input NRZ data on lead  22 . 1  is provided to a Serial/Parallel (S/P) unit  22 . 2  which provides  4  parallel signals two FQPSK quadrature modulators, units  22 . 3  and  22 . 4 . The quadrature modulated signals are provided to amplifiers, and in particular, to optional NLA  22 . 5  and to High Power Amplifier (HPA)  22 . 7  in the upper part of the figure. HPA- 1 , unit  22 . 7  provides the RF modulated signal to antenna  22 . 9  or to an output port  22 . 11 . In the lower branch the FQPSK modulator, unit  22 . 4 , provides the quadrature modulated signal to optional NLA  22 . 6  and to HPA- 2 , unit  22 . 8 . The amplified signal of  22 . 8  is provided to antenna  22 . 10  and/or to output port  22 . 12 . 
     To obtain a 16-state QAM with cross-correlated FQPSK signals that are NLA through HPA- 1  and HPA- 2 , the RF amplifiers and RF combiner are adjusted to have an RF combined output fed to antenna  22 . 9  and/or output port  22 . 11 , 6 dB higher in power than the RF power provided to antenna  22 . 10  and/or output port  22 . 12 . 
     FIG. 23 shows the embodiment of an Orthogonal Frequency Division Multiplex (OFDM) type of embodiment with FDM signal combining of a number of FQPSK type of Lin or NLA signals. In one of the embodiments of this invention RF Combining is implemented by hardware RF components while in an alternative implementation the RF combining is implemented with “Over the Air Combined” signals. If multiple antennas are used, then this architecture is also known as an “Antenna Array” (AA) architecture. Lead  23 . 1  containing the Input Data (ID) is provided to a Serial-to-Parallel (S/P) converter, unit  23 . 2 , having M set of outputs where one output set constitutes a separate I and Q signal or a serial data stream. The S/P converter  23 . 2  may contain an optional cross correlator (Xcor). As the input signal is S/P converted, the data rates on the 1, 2, . . . , . . . , M input leads to the bank of FQPSK modulators  23 . 3  are at an M times reduced data rate compared to the input data rate. As an illustrative example of this architecture, if the input data rate is Fb=10 Mb/s and there are 100 FQPSK modulators (M=100), then the bit rate of individual FQPSK modulators is 10 Mb/s: 100=100 kb/s. The aggregate transmission rate of such a system is not changed. The aforementioned parallel data are provided to M modulators designated as FQPSK. 1 , FQPSK. 2 , . . . , FQPSK.M, collectively referred to as unit  23 . 3 . These modulated signals are provided to a set of RF amplifiers,  23 . 4  and optional RF Switches units designated as  23 . 6 . The M amplified signals are provided in one of the embodiments through RF combiner  23 . 7  to a single antenna “Ant.C” unit  23 . 8  or port  23 . 9 . In an alternate use the M modulated and amplified signals at the outputs of RF amplifiers  23 . 4  are provided to the antenna array  23 . 5  designated as Ant. 1 , Ant. 2 , . . . Ant.M. If the Antenna Array architecture is used, then the M signals are “Over the Air Combined” signals. If a hardware RF combiner  23 . 7  is used with a single antenna  23 . 8  or output port, then the architecture represents a hardware combined embodiment. An advantage of the “Over the Air Combined” architecture is that all RF amplifiers within the set  23 . 4  may operate in fully saturated NLA power efficient mode. 
     FIG. 24 is an alternate Antenna Array and RF Combining implementation architecture of multiple FQPSK type of signals. This figure illustrates multiple TCS and/or filtered BB processors connected to an antenna array and/or RF combiner. Input lead  24 . 1  contains an input signal or a multitude of signals, which could comprise analog signals, digital binary or digital multilevel signals, or other signals, for short “Input Signal.” Unit  24 . 2  receives the input signal and processes it with a TCS containing optional LR filters and/or a 1 st  set of cross correlators (Xcor) for FQPSK signals. A Bit Rate Agile clocked bank of filters  24 . 3  receives the signals of  24 . 2 , processes them and provides to unit  24 . 4  which is an optional 2 nd  set of Xcor and/or TCS with LR response filters and/or Peak Limiter (PL) devices. The signals from  24 . 4  are provided to Quadrature Modulators  24 . 5  and to a bank of amplifiers  24 . 6  in the figure illustrated as FA 1  to FA 3 . The RF amplified signals are provided to antenna array  24 . 8  or to RF combiner  24 . 9  through the set of RF switches  24 . 7 . The RF combined output is provided to antenna  24 . 10  or alternately output port  24 . 11 . 
     In FIG. 25 an alternate implementation of encoding and signal mapping of FQPSK, FQAM and FGMSK signals is shown. In the embodiment of FIG. 25 a trellis coded implementation with an appropriate signal mapping for trellis coded generic FQPSK without the need for redundancy is shown. In addition to trellis coding other coding algorithms are suitable for the shown implementation architecture. The aforementioned other encoders include non-redundant Differential Encoding (DE), Gray encoding, encoding/conversion of NRZ signals into RZ or FRZ signals or Manchester or other sets of signals. Encoding for error correction and detection may require the insertion of redundant bits and Forward Error Correction (FEC) encoders such as Block Encoders including Reed-Solomon, BCH, convolutional, CRC and other encoders are among the illustrative embodiments of encoders suitable for FIG.  25 . The specific trellis encoder schematic diagram and signal mapping part of FIG. 25 is based on Simon/Yan&#39;s published reference [22], which includes logic/encoding  25 . 3  and signal mapping  25 . 4 . The aforementioned reference does not disclose embodiments for TCS and LR filtered changeable amount of cross correlated and of filtered Bit Rate Agile (BRA) and/or Peak Limited (PL) implementations and of Agile Cascaded Mis-Matched (ACM) filtered systems having single or multiple I and Q readout tables with compressed memory elements. 
     In FIG. 25 trellis coded TCS and LR filtered FQPSK signals having BRA applications with or without Cross-Correlation and with and without Peak Limiting (PL) circuits in the I and Q channels are shown. The digital processing parts of the trellis or other encoder precede the additional TCS and LR and other processors in the implementation embodiment of FIG.  25 . In alternate embodiments the digital encoder with and without trellis coding is integrated in one block and one function with parts or all of the TCS and LR blocks or the order of processing is changed. 
     Illustrative Performance of Exemplary System 
     The performance of illustrative and some of the “best-illustrative” embodied FQPSK and related BRA systems of this invention is highlighted. This invention includes numerous embodiments and has a large class of subsystems and implementation details as well as designations. For this reason the term “best-illustrative” is used herein. For some users and designers “best” means the narrowest possible spectrum at a Power Spectral Density (PSD) of about −20 dB to meet certain FCC mandated requirements, while for other users the “best” PSD is defined at −70 dB for others “best” refers to best Bit Error Rate (BER) performance in an Additive Wide Gaussian Noise (AWGN) operated environment, while for some others the “best” or “optimum” BER=f(Eb/No) performance is most desired. Other categories of the term “best” could mean fastest synchronization or re-synchronization of a receiver/demodulator or “best” BER performance or smallest number of outages in an RF delay spread-frequency selective faded environment with the “best,” that is, fastest and highest performance adaptively equalized demodulators. A large category of designers and users of this invention might define “best” as the lowest cost commercially available equipment from numerous sources having the highest spectral efficiency simultaneously with the smallest size for a certain RF power and the “best,” i.e., maximal Bit Rate Agile (BRA) flexibility and/or interoperability and compatibility with previous generations and implementations of FQPSK and/or of other “legacy” systems. For the aforementioned reasons the term “best illustrative” is used in the performance attained with some of the aforementioned “best” implementations. 
     As an illustration of one of the “best illustrative” NLA spectra, the Power Spectral Density (PSD) of NLA wireless/telemetry system is illustrated in FIG.  26 . The multiple data links in these telemetry systems are operated at specific bit rates of 13 Mb/s rate per link. The spectra shown in FIG. 26 are typical for spectral usage in the U.S. for the U.S. Government-authorized band of 2200 MHz to 2290 MHz for Government applications. In FIG. 26 one or more of the modulated and received signals is shown to be in the 18 dB to 20 dB lower than that of adjacent signals. In “real-life” systems it is often the case that the desired signal power is about 20 dB lower in power than that of the adjacent signals. With telemetry standardized filtered PCM/FM systems, at the aforementioned 13 Mb/s rate, 3 data links can be used simultaneously. During the 1990s, filtered PCM/FM systems have been extensively used. With emerging FQPSK systems and in particular Draft Standardized FQPSK-B systems the number 13 Mb/s rate links is doubled to 6, while with 16-state FQAM, also designated as FQPSK. 2 . 4  the number of 13 Mb/s links is quadrupled (over that of standardized PCM/FM) to 12 data links. Thus the spectral efficiency of FQPSK is double that of standardized filtered PCM/FM and the spectral efficiency of FQAM with 16 states and operated also in an NLA mode is quadruple that of the standardized filtered PCM/FM systems. 
     From FIG. 26 illustrated spectra it is noted that the Integrated Power from the adjacent channels falling into the desired channel may have a significant impact on the performance of the desired channel. In the referenced publications and patents the importance of Integrated Adjacent Channel Interference (ACI) is highlighted and described. For this reason the Power Spectral Density (PSD) and the ACI of Linearly (Lin) and of NLA transmitted FQPSK and GMSK signals is shown in FIG.  27 . The PSD and Integrated ACI of hardware measured prototype FQPSK-B in a NLA transmitter and of a BRA linearized (Lin) transmit FQPSK is illustrated in the upper part of FIG.  27 . In the lower part of FIG. 27 the Integrated Adjacent Channel Interference of FQPSK systems with that of GMSK systems is compared. In this figure “W” denotes the frequency spacing between Adjacent Channels. In case of GMSK which has been implemented with BRA embodiment described in this invention and designated as FGMSK having a Gaussian filter and bit duration (Th) product of 0.25 has been used in the computed ACI result shown in FIG.  27 . The computed ACI of a BTb=0.25 filtered system with considerably steeper filters than that of conventional Gaussian receive filters was simulated by JPL/NASA. The ACI curves for FQPSK-B and FQPSK-D 1  as well as FQPSK-Lin are also included. Note from the results the significant(approximately 2 to 1 at −60 dB) spectral ACI advantages of FQPSK over that of GMSK systems. 
     Multi-state FQAM systems such as 16-state FQAM designated also as FQAM- 16  and FQPSK. 2 . 4  (the first number in this latter abbreviation indicates 2 nd  generation FQPSK while the 2nd having 4 signaling states per I and per Q channel). In NLA systems have approximately double the spectral efficiency of the already-spectrally-efficient FQPSK systems including BRA systems operated in an FQPSK-B mode disclosed in this invention. The abbreviation “FQPSK-B” is a designation for cross-correlated FQPSK systems having an embodiment in which the TCS cross correlators are cascaded with LR filters operated in a BRA mode. The substantial spectral saving attained by 16-state FQPSK systems over alternative conventional 16-QAM pre-RF amplification filtered systems is illustrated by the computer-generated results shown in FIG.  28 . 
     In FIG. 28 the ACI results of illustrative FQPSK. 2 . 4  (also designated as FQAM- 16 ) state systems, obtained after fully saturated NLA, are compared with that of NLA conventional pre-modulation filtered 16-state QAM systems. The spectral efficiency advantage of the illustrated FQAM is more than 200% over that of prior art QAM at −30 dB and FQAM has an even more significant spectrum advantage in terms of ACI at the critical −40 dB to −60 dB range. High performance systems require a robust BER performance in Additive White Gaussian Noise (AWGN) and also other interfering and noise environments. A frequently-used performance indication is the BER performance as a function of the available Energy of a Bit (Eb) to Noise Density (No) ratio. For RF power efficient as well as spectrally efficient systems having a robust BER, the NLA system performance in terms of BER=f(Eb/No) is specified for numerous system applications. In particular, in FIG. 29 the performance of FQPSK is highlighted. 
     FIG. 29 The BER performance, in terms of BER=f(Eb/No), of prototype measurements and Computer design/software generated data of FQPSK systems illustrated that NLA FQPSK is within about 0.5 dB of the ideal theoretical LIN amplified QPSK systems. Simple bit by bit detection as well as trellis decoding without redundancy has been used. In FIG. 29 curve (a) represents an ideal theoretical linearly (LIN) amplified system, while curve (b) represents a BER optimized NLA-FQPSK, and curve (c) represents a BRA and MM hardware-prototype measured FQPSK-B system performance, prior to optimization. 
     Detailed Description of Exemplary Embodiments of Receivers and of Demodulators 
     Receivers and Demodulators are described in this section. Signal reception, adaptive equalization, demodulation, fast and robust synchronization, bit recovery, Non Redundant Error Detection (NED), online in service monitoring, Non Redundant Error Control (NEC) and new architectures and embodiments for Bit Rate Agile (BRA) and NLA cross-correlated FQPSK, FQAM and related systems are disclosed in this part of the invention. 
     In FIG. 30 a generic receiver and demodulator is shown. In this FIG. 30 demodulation of FQPSK type of signals, by using quadrature demodulation structures such as QPSK, QAM and OQPSK demodulation, enhanced by the architectures of the embodiment, illustrated in this figure is accomplished. Fast signal acquisition is attained and numerous other performance enhancements are achieved by the disclosed generic embodiment of this demodulator. Input port and lead  30 . 1  obtains a modulated signal from a receive input port. The optional BPF unit  30 . 2  is provided in some of the embodiments in which excessive strength out-of-band/or adjacent channel signals degrade the performance of the subsequent circuits if this “protection” or “roofing” BPF is not present. Automatic Gain Control (AGC) circuit  30 . 3  operates in a linear or in a non-linear (NL) mode. For some applications an advantage of FQPSK and FQAM type of signals is that they are suitable for nonlinear AGC operation. From the prior art it is well known that nonlinearly operated AGC circuits such as “hard-limiters” and “soft-limiters” have faster AGC operation than their linear counterparts and in certain environments nonlinear AGCs outperform linear AGCs and in particular regarding “weak signal suppression” and also lead to reduction of Co-Channel Interference and of Inter-Symbol Interference (ISI) caused by certain RF delay spread—frequency selective faded environments. The optional AGC provides the quadrature demodulator  30 . 7  and follow-up signal processors including LPFs  30 , Analog/Digital (AID)  30 . 10 , Symbol Timing Recovery (STR)  30 . 6 , Adaptive Equalizer (AE) which could be a blind equalizer  30 . 11  and digital logic circuits decoders  30 . 12  to  30 . 17  the signals for demodulation and decoding. Additional signal processors which enhance the performance of the receiver/demodulator of this invention include one of the following: switchable changeable Carrier and Symbol Recovery unit  30 . 18 , Pilot Extraction for unambiguous carrier recovery, fast AGC, and Automatic Frequency Control  30 . 19 ,. Non-Redundant Error Detection (NRED) unit  30 . 20 , Diversity Switching Combining Controller  30 . 21  and Pseudo-Error On-Line Monitor  30 . 22  units are also included. 
     FIG. 31 is a demodulator architecture also known as a “Block Demodulator” and/or digital demodulator or software demodulator. This implementation/embodiment is used for software or firmware or hardware, or combined hybrid implementations of this invention. On receive port/lead  31 . 1  the received RF signal or the received RF signal down-converted to a convenient IF frequency or to the baseband frequency range is shown. Unit  31 . 2  is an optional “roofing” BPF or other filter to protect the front end of the A/D  30 . 3  unit from out-of-band signal overload. The AID provides serial or parallel signals for further digital processing, decision making and decoding in unit  31 . 4 . The data is provided to output port  31 . 5 . 
     FIG. 32 shows Antenna Arrays (AA) in this multiple transmit and receive with omni and/or directional antenna embodiment. This architecture with Adaptive Antenna Arrays (AAA) has the potential to increases the NLA spectral efficiency of FQPSK, FQAM and FGMSK systems to more than 30 b/s/Hz by processing the transmit and/or receive antenna signals in a directional mode. An interesting prior art reference is Winters [23], which contains several system applications of system applications of conventional non-patented modulated systems. The potential advantage of the embodiment of FIG. 32 for FQAM and FGMSK systems as due to the fact that the FQPSK and FQAM type of systems are suitable for NLA power and RF spectral efficient robust performance operation with single, dual and multiple antennas. Larger number of AA further increases the spectral efficiency and thus capacity of the systems of this invention in specific geographic areas covered by the AAs and AAAs. 
     FIG. 33 shows a Pseudo-Error (PE) on-line, or in-service monitor generic block diagram with on-line Probability of Error (Pe) monitor, diversity control, adaptive equalization control and Non-Redundant Error Control circuit also designated as Feher&#39;s Non-Redundant Error Control (FN) detection and correction. Non-intrusive on-line, also known as in-service bit error or Bit Error Rate (BER) or Probability of Error (Pe) monitoring of received signals has numerous benefits for the user of digital communication systems. Prior art references including Feher&#39;s [1,2,3] and the references contained therein describe the operational principles and some of the embodiments of the so-called “Pseudo-Error” on-line bit error detectors.” While pseudo-error detection by itself is known from the prior art, pseudo-error monitoring of cross-correlated and filtered BRA systems combined with pseudo-error monitor generated control signal generation for adaptive equalization and/or diversity control techniques and embodiments are part of this new invention. 
     Pseudo-Error (PE) operation, adaptive equalization and diversity control signal generation by PE generated signals is described in relation to FIG.  33 . On lead  33 . 1  the received RF signal is present. This signal could be converted to a convenient IF and/or near the baseband frequency range and could be RF selective faded and/or corrupted by interference. In FIG. 33 an FQPSK received modulated signal is illustrated; other types of modulated signals could be also processed with the PE based structures of FIG.  33 . In addition to signal distortion, exhibited in terms of ISI, caused by RF selective, time-dispersive propagation channels Interference  33 . 2  and Additive White Gaussian Noise(AWGN)  33 . 3  is assumed to be corrupting this system by having interference and AWGN added to the desired signal path in  33 . 4 . Following the selective faded signal path and interference and noise, the power splitter  33 . 5  provides the signal to I Channel Demodulator  33 . 7 ,  33 . 8  and  33 . 9  and Q channel demodulator and to the Carrier Recovery(CR) unit  33 . 6 . The regular demodulated and regenerated data is present as “Data out to parallel to serial converter” in the I and Q channels. The PE circuit or “Pseudo-error on-line detector” has at its input stage an input port, designated as a buffer amplifier  33 . 10 , followed by the  33 . 11  LPF(Low-Pass Filter in the “pseudo” path (lower case “p” in the abbreviation) and the regenerator or threshold detector  33 . 12 . Unit  33 . 13  is a clocked Exclusive-OR (ExOR) circuit which has the regular demodulated “Data out to parallel to serial converter” as one of its data inputs “In 1 ” and has the regenerated data from the pseudo data regenerator  33 . 12  as its 2 nd  data input “In 2 ”. The clocked ExOR circuit (the clock input is not drawn to the ExOR-to simplify the drawing)  33 . 13  provides binary pulses to the Pp(e) to P(e) converter  33 . 14 . Unit  33 . 14  is implemented by simple logic and counter circuits and/or as part of a micro-processor and by software, hardware or firmware. 
     Pseudo-Error(PE) implementations and their operating principles have been described in the literature, including references [1,2,3]. Unit  33 . 14  provides a signal to the Non Redundant Error Control (NREC) circuit  33 . 19 , which is used, for display of the actual estimated Pe or BER of the data stream. Implementations of PE detectors, described in the aforementioned references, or variations of PE detector implementations used in this invention serve as Adaptive Equalizer(AE) control signal generators and Control Generators for Diversity Combining and/or fast synchronization systems. In one of the structures of this invention  33 . 14  provides one or more signal lines to the Adaptive Equalizer Controller  33 . 17  and in turn to the Adaptive Equalizer (AE)  33 . 18 . The AE provides to output ports  33 . 20  and  33 . 21  control signals. 
     In FIG. 34 an implementation block diagram of a Pseudo-Error (PE) controlled IF adaptive equalizer of this invention, designated as Feher Equalizer (“FE”) is shown. The elements, described in conjunction with FIG. 33, described previously are used in this structure of FIG.  34 . At the input lead  34 . 1  the received RF or IF signal is provided to splitter  34 . 2 . The splitter output, designated as i(t) is fed to a signal combiner  34 . 4   b . The lower branch of the splitter provides an input to signal multiplier  34 . 3 , followed by delay element D 1  and the multiplied and delayed signal is fed to the second input of combiner  34 . 4   b . The combiner output is fed to an IF to baseband quadrature demodulator unit  34 . 5 . The multiplier unit  34 . 3  receives at its second input one or more control signal (s), designated as cl(t) and generated by the PE monitor loop. The aforementioned multiplier  34 . 3  serves as a controlled signal attenuator, that is, it provides a time variable attenuation(or time variable gain) in the lower branch of the “one tap” adaptive IF equalizer comprising splitter  34 . 2 , combiner  34 . 4   b , multiplier (also designated as mixer)  34 . 3 , delay element D 1   34 . 4   a  and combiner unit  34 . 4   b.    
     The Demodulator  34 . 5  of FIG. 34 has a structure such as the I and Q channel demodulators shown in FIG.  33 . The demodulated “eye” diagram (for definitions and terms such as eye diagram-see one of the references listed, including [1, 2 or 3] ) through interface  34 . 6  provides the data output via threshold regenerator and logic  34 . 7  to output port  34 . 8  and the clock to  34 . 9 , while the signals to the PE monitor are on leads  34 . 10  and  34 . 11 . Single or multiple lead signals on lead(s)  34 . 13  are provided to LPF  34 . 12  for signal shaping and/or processing and for providing the aforementioned cl (t) control signal to one of the inputs of the multiplier  34 . 3  of the adaptive equalization system. The operation of the adaptive Feher Equalizer (FE) shown in FIG. 34 operates in a baseband to IF feedback loop in which the control signal is generated by a PE detector. The PE signal is a binary fully regenerated signal thus it is not the same type of signal as used to control the coefficients of conventional adaptive taps of adaptive equalizers. 
     FIG. 35 is a diagram of a multiple delay switchable Adaptive Equalizer (AE) designated as Feher Rake “FR”. A Non-Redundant Error Control (NEC) detector, such as a Pseudo-Error (PE) circuit based NEC is used to generate one or multiple control signals, designated as “Control Select Signals”. Received signal on lead  35 . 1  is provided to multiple splitter ports  35 . 2 , 35 . 6  and  35 . 10 . The splitters provide signals to variable gain amplifiers A 1  to An to provide signals to delay components D 1  to Dn. The respective components are:  35 . 2  to  35 . 14 . The upper and lower branches of the split signals are re-combined in adders  35 . 3 ,  35 . 7  and  35 . 11 . The signal selection switch, Switch unit  35 . 14  selects one of the IF signals present at  35 . 3 ,  35 . 7  and  35 . 11  combiner outputs. The signal selection is controlled by the “Control Select Signals” generated by unit  35 . 21 . The selected signal at the output port of switch  35 . 14  is provided to  35 . 15  demodulator and PE monitor NEC detector. Output port  35 . 16  provides signals to  35 . 19  Pseudo Error NEC detector additional processing and in turn for signal shaping by a LPF  35 . 20  for providing signals to the Control Select Generator  35 . 21 . The FR is a combination of an adaptive Feher Equalizer (FE) with selectable and switchable delay components among several branches or “rake branches” of the receiver structure. In this embodiment the receiver operates based on the principle that if the PE detector and/or alternate NEC circuit has a relatively high Pe on line state then one or more of the component values of the delay elements will be switched out or in, that is selected, and similarly the gain values of the adaptive equalizer A 1 , A 2 , . . . , An will be changed, continuously or in discrete steps. 
     In FIG. 36 an implementation architecture for multiple Adaptive Feher Equalizers (FE) and Feher Rakes (FR) with one or more demodulators is illustrated. The received signal on lead  36 . 1  is provided to splitter port  36 . 2  and the splitter provides signals to units  36 . 3 ,  36 . 4  and  36 . 5 . These units are FE and FR based on the previously described embodiments. These units provide signals to units  36 . 6 ,  36 . 7  and  36 . 8  for multiple signal demodulation. Single or multiple PE monitor(s)  36 . 10  provide control signals to select by selection switch  36 . 9  the best signal. 
     FIG. 37 shows a 2-branch diversity receiver with an adaptive equalizer and a single demodulator. In this embodiment FQPSK and/or FQPSK type of signals are first combined, in combiner unit  37 . 6  and are afterwards Adaptively Equalized in unit  37 . 7 . Receiver antennas  37 . 1  and  37 . 2  provide signals to RF mixers/down-converters  37 . 3  and  37 . 5 . Oscillator and/or Frequency Synthesizer  37 . 4  provides Carrier Wave signals for down-conversion. The IF down-converted signals are provided to combiner and/or switch unit  37 . 6 , followed by adaptive equalizer  37 . 7 , by optional Linear or NLA amplifier  37 . 8  and by Demodulator  37 . 9 . The output demodulated data is available on port  37 . 10 , the received/bit synchronized clock on port  37 . 11  and additional timing, such as symbol timing or block sequence timing on  37 . 12 . One or more of the units and elements of this invention, described in conjunction with previous figures are used in the architecture of this FIG.  37 . The PE and/or other NEC generated control signals provide for best possible combining, including “Equal Gain Combining”, “Weighted Gain Combining”, “Selective Combining” and other combining methods described in the prior art literature. 
     A fundamental difference is that in this invention the actual Pseudo-Error rate is used as the pre dominant control signal generator and the PE monitor selects and/or combines the best performance BER signals, while the prior art combiners select or combine based on the received Carrier Power or received Carrier-to-Noise (C/N) ratio. Combining or selecting signals, based on received C/N or received carrier power (C) may lead to the selection of the inferior performance channel or combing with the wrong ratio or wrong weight, and in particular if the RF channel has serious frequency selective fades. 
     For example the “main RF signal” designated RF main from antenna  37 . 1  has in one instant a much higher received carrier power than the carrier power on RF diversity antenna  37 . 2 . Based on prior art receivers, combiners and diversity selection criteria the “main” signal would be selected as it has a higher C and thus higher C/N. However, in a severe RF selective faded environment even though the C power of the main branch, antenna  37 . 1  is much larger than that of the diversity antenna  37 . 2 . In this instance the main antenna signal has much more RF frequency selective fade thus much worse performance the prior art receiver would choose/select the main branch with its poor and inferior performance, while the PE and/or other NEC based control signal disclosed in this invention would select the diversity signal with its superior performance. 
     Additional Description 
     Having now described numerous embodiments of the inventive structure and method in connection with particular figures or groups of figures, and having set forth some of the advantages provided by the inventive structure and method, we now highlight some specific embodiments having particular combinations of features. It should be noted that the embodiments described heretofore, as well as those highlighted below include optional elements or features that are not essential to the operation of the invention. 
     A first embodiment (1) provides a bit rate agile communication system comprises a splitter receiving an input signal and splitting the input signal into a plurality of baseband signal streams; a baseband signal processing network receiving the plurality of baseband signal streams and generating cross-correlated cascaded processed and filtered bit rate agile (BRA) in-phase and quadrature-phase baseband signals; and a quadrature modulator receiving and quadrature modulating the cross-correlated filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated output signal. 
     A second embodiment (2) further requires of the bit rate agile communication system that the baseband signal processing network includes a cross-correlator and at least one bit rate agile cascaded mismatched (ACM) modulator filter. 
     A third embodiment (3) further requires of the bit rate agile communication system that it comprise: a demodulator structure having at least one bit rate agile (BRA) cascaded mis-matched (ACM) demodulation filter which is mismatched (MM) to the cascaded processed and filtered modulated signal, and operating to demodulate the bit rate agile signal. 
     A fourth embodiment (4) further requires of the bit rate agile communication system that the at least one processed and filtered baseband signal is generated by a plurality of modulator filters, and at least one bit rate agile (BRA) demodulator filter is used for signal demodulation. 
     A fifth embodiment (5)further requires of the bit rate agile communication system that the plurality of modulator filters, and the demodulator filter are connected in either serial, parallel, or a combination of serial and parallel topology. 
     A sixth embodiment (6) provides bit rate agile communication system comprising: a baseband signal processing network receiving parallel baseband signal streams and generating combined Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals; and a quadrature modulator receiving and quadrature modulating the Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
     A seventh embodiment (7) further requires that the bit rate agile system further comprise: a transmit amplifier receiving the quadrature modulated output signal and generating an amplified transmit signal for coupling to a transmission medium. 
     An eighth embodiment (8) further requires that the bit rate agile system further comprising a demodulator receiving and demodulating the bit rate agile transmit signal. 
     A ninth embodiment (9) provides in a communication system, a method for generating bit rate agile signals comprising steps of: receiving an input signal and converting the input signal into a plurality of signal streams; processing the plurality of signal streams to generate cross-correlated signals having changeable amounts of filtering for bit rate agile in-phase and quadrature-phase baseband signals; and modulating the cross-correlated filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
     A tenth embodiment (10) provides in a signal transmission system, a method for generating bit rate agile signals comprising steps of: receiving a plurality of signal streams; processing the plurality of signal streams to generate cascaded Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals; and modulating the Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals to generate a quadrature modulated bit rate agile output signal. 
     An eleventh embodiment (11) provides a Bit Rate Agile (BRA) structure comprising a input port for receiving input data; a splitter having an input coupled to the input port, and serving to split the input data into baseband signal streams; a baseband signal processing network for receiving the baseband signal streams and providing cross-correlated and filtered Bit Rate Agile (BRA) in phase and quadrature phase baseband signals; a Quadrature Modulator serving to quadrature modulate the cross-correlated filtered in phase and quadrature phase baseband signals; an interface transmitter port to provide the quadrature modulated signal to the transmission medium; an interface receiver port to provide connection of the the cross-correlated filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for Bit Rate Agile (BRA) signal demodulation having Bit Rate Agile (BRA) demodulation filters Mis-Matched (MM) to that of the modulator filters. 
     A twelth embodiment (12) further requires of the Bit Rate Agile (BRA) structure structure that the processed in phase and quadrature phase baseband signals have amplitudes such that their vector sum is substantially constant and has reduced resultant quadrature modulated envelope fluctuations. 
     A thirteenth embodiment (13) further requires that the Bit Rate Agile (BRA) structure comprises means for selectively reducing the cross correlating factor down to zero. 
     A fourteenth embodiment (14) provides a Bit Rate Agile (BRA) structure comprising a baseband signal processing circuit receiving one or more baseband signal streams and providing cross-correlated and filtered Bit Rate Agile (BRA) in-phase and quadrature-phase baseband signals; a quadrature modulator serving to quadrature modulate the cross-correlated filtered in phase and quadrature phase baseband signals; a transmit amplifier to provide the quadrature modulated signal to the transmission medium; an interface receiver port to provide connection of the the cross-correlated filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for Bit Rate Agile (BRA) signal demodulation. 
     A fifteenth embodiment (15) provides a Bit Rate Agile (BRA) structure comprising: a baseband signal processing network for receiving baseband signal streams and providing cascaded Bit Rate Agile (BRA) Time Constrained Signal (TCS) response and Long Response (LR) filtered in phase and quadrature phase baseband signals; a Quadrature Modulator serving to quadrature modulate the cascaded Time Constrained Signal (TCS) response and Long Response (LR) filtered in phase and quadrature phase baseband signals; an interface transmitter port to provide the quadrature modulated signal to the transmission medium; an interface receiver port to provide connection of the the filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for signal demodulation having Bit Rate Agile (BRA) demodulation filters Mis-Matched (MM) to that of the modulator filters. 
     A sixteenth embodiment (16) provides a Bit Rate Agile (BRA) structure comprising: a input port for receiving input data; a splitter having an input coupled to the input port, and serving to split the input data into baseband signal streams; a baseband signal processing network for receiving the baseband signal streams and providing cascaded Time Constrained Signal (TCS) response and Long Response (LR) filtered in phase and quadrature phase baseband signals; a Quadrature Modulator serving to quadrature modulate the Time Constrained Signal (TCS) response and Long Response (LR) filtered in phase and quadrature phase baseband signals; a transmit amplifier to provide the quadrature modulated signal to the transmission medium; an interface receiver port to provide connection of the the filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for Bit Rate Agile (BRA) signal demodulation. 
     A seventeenth embodiment (17) provides a structure comprising: an input port for receiving baseband signals; a baseband signal processing network for receiving the baseband signals and providing cross-correlated bit rate agile cascaded mismatched (ACM) processed and filtered in-phase and quadrature-phase baseband signals. 
     A eighteenth embodiment (18) provides a signal processing, modulation, transmission, signal reception and demodulation system, for Bit Rate Agile (BRA), Modulation Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) systems comprising: (a) means for input port for receiving input data; (b) splitter means serving for BRA, MFS and CS signal splitting, having an input coupled to the input port, and serving to split the input data into baseband signal streams; (c) means for BRA, MFS and CS baseband signal processing; (d) means for receiving the baseband signal stream and providing for BRA, MFS and CS systems changeable amounts of cross-correlation between Time Constrained Signal (TCS) response processors combined with TCS and Long Response (LR) processors; (e) means for cross-correlated processed in phase (I) and quadrature (Q) phase baseband signals for quadrature modulation to the I and Q input ports of the Quadrature Modulator (QM); (f) means for an interface unit to provide the quadrature modulated data to the transmission medium; (g) means for a receiver interface unit for connection of the received cross-correlated signal to the BRA and MFS demodulator; (h) means for BRA, MFS and CS demodulation; (i) means for post-demodulation Mis-Matched (MM) filtering of the BRA MFS and CS demodulated signals in which the MM demodulator filters are mis-matched to that of the BRA and MFS filters. 
     A ninteenth embodiment (19) provides a cross-correlated signal processor comprising: (a) means for Bit Rate Agile (BRA), and Modulation-Demodulation(Modem) Format Selectable (MFS) input port for receiving input data; (b) means for providing BRA and MFS in-phase (1) and quadrature phase (Q) signals; (c) BRA and MFS means for cross-correlating a fraction of a symbol or one or more symbols of the I signal with one or more symbols of the Q signal; (d) means for implementing the BRA and MFS cross-correlated signals by analog active circuits, analog passive circuits, by digital circuits or any combination thereof; (e) means for switching in-out additional filters in the I and/or Q channels; (f) means for Quadrature modulating the I and Q signals; (g) means for Linear and/or Nonlinear amplification to provide to the antenna; (h) a receiver port for connection of the received cross-correlated signal to the BRA and MFS demodulator, (i) a BRA and MFS quadrature demodulator; and (j) a Mis-Matched (MM) BRA and MFS demodulator filter set in which the the demodulator filter set is MM to that of the BRA and MFS filter set of the modulator. 
     A twentieth embodiment (20) provides a cross-correlated signal processor for Bit Rate Agile (BRA) and Modulation-Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) means comprising: (a) means for providing in-phase and quadrature phase signals; (b) means for cross-correlating a fraction of a symbol or one or more than one symbol of the in-phase (I) signal with a fraction of a symbol or one or more than one symbol of the quadrature-phase (Q) signal; (c) means for generating filtered cross-correlated I and Q signals; (d) means for implementing the cross-correlated signals by analog active or passive circuits, by digital circuits or combination thereof; (e) means for providing a control circuit to select from a set of predetermined cross-correlated signal elements filters and selectable waveforms in the I and/or Q channels; (f) means for Quadrature modulating the I and Q signals; (g) means for Linear and/or Nonlinear amplification to provide to the antenna; (h) a receiver port for connection of the received cross-correlated signal to the BRA and MFS demodulator; (i) a BRA and MFS quadrature demodulator; () a Mis-Matched (MM) BRA and MFS demodulator filter set in which the the demodulator filter set is MM to that of the BRA and MFS filter set of the modulator. 
     A twenty-first embodiment (21) provides a Cross-correlated signal processor for Bit Rate Agile (BRA) and Modulation-Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) means comprising: (a) processing means for one or more input signals and providing in-phase (I) and quadrature phase (Q) signals; (b) means for cross-correlating the in-phase and quadrature shifted signals; (c) means for generating in-phase and quadrature shifted output signals having amplitudes such that the vector sum of the output signals is approximately the same at virtually all phase angles of each bit period for one set of cross-correlation and filter parameters and the vector sum is not constant for an other set of chosen filter parameters; (d) means for quadrature modulating the in-phase and quadrature output signals, to provide a cross-correlated modulated output signal; (e) means for providing a control circuit to select from a set of predetermined cross-correlated signal elements filters and selectable waveforms in the I and/or Q channels; (f) means for Quadrature modulating the I and Q signals; (g) means for Linear and/or Nonlinear amplification to provide to the antenna; (h) a receiver port for connection of the received cross-correlated signal to the BRA and MFS demodulator; (i) a BRA and MFS quadrature demodulator; and (j) a Mis-Matched (MM) BRA and MFS demodulator filter set in which the demodulator filter set is MM to that of the BRA and MFS filter set of the modulator. 
     A twenty-second embodiment (22) provides a cross-correlated signal processor comprising: (a) means for cross-correlating a fraction, or one or more than one symbol synchronous and/or asynchronous time constrained signal (TCS) response and cascaded long response (LR) filtered signal symbols of one or more input signals with signal symbols of a quadrature phase shifted signal of the in-phase signal, and providing in-phase (I) and quadrature phase (Q) shifted signals for Bit Rate Agile (BRA), cascaded mismatched (ACM) Modulation-Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) processing, according to the following schedule: (i) when the in-phase channel signal is zero, the quadrature shifted signal is close to the maximum amplitude normalized to one (1); (ii) when the in-phase channel signal is non-zero, the maximum magnitude of the quadrature shifted signal is reduced from 1 (normalized) to A, where 0≦A≦1; (iii) when the quadrature channel signal is zero, the in-phase signal close to the maximum amplitude; (iv) when the quadrature channel signal is non-zero, the in-phase signal is reduced from 1 (normalized) to A, where 0≦A≦1; (b) means for quadrature modulating the in-phase and quadrature output signals to provide a cross-correlated modulated output signal; (c) controlling means and signal selection means for BRA rate, MFS and CS processor selection and selection for Linear and/or Non-Linearly Amplified (NLA) baseband and/or of Quadrature modulated signals; (d) coupling port means to the transmission medium; (e) a receiver port for connection of the received cross-correlated signal to the BRA, MFS and CS demodulator; (f) a BRA, MFS and CS quadrature demodulator; and (g) a Mis-Matched (MM) demodulator filter set for BRA, MFS and CS in which the the demodulator filter set is MM to that of the BRA, MFS and BRA filter set of the modulator. 
     A twenty-third embodiment (23) provides a structure for trellis coding and decoding, of extended memory Bit Rate Agile (BRA), Modulation-Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) input port for receiving input data comprising: a trellis encoder; a BRA, MFS and CS splitter having an input coupled to the input port, and serving to split the input data into baseband signal streams; a BRA, MFS and CS baseband signal processing network for receiving the baseband signal streams and providing BRA, MFS and CS in phase (I) and quadrature (Q) phase baseband signals to the I and Q input ports of the transmitter; means for baseband signal processing for receiving the baseband signal streams and providing for BRA, MFS and CS systems changeable amounts of cross-correlation; means for selectively reducing the cross-correlating factor down to zero between Time Constrained Signal (TCS) response processors combined with TCS and Long Response (LR) processors; a receiver port for connection of the received cross-correlated signal to the BRA and MFS demodulator; a BRA and MFS quadrature demodulator; and a Mis-Matched (MM) BRA and MFS demodulator filter set in which the the demodulator filter set is MM to that of the BRA and MFS filter set of the modulator. 
     A twenty-fourth embodiment (24) provides a cross correlated quadrature architecture signal processor for producing Bit Rate Agile (BRA), cross-correlated in phase and quadrature phase signal streams for modulation by a Quadrature Modulator and transmission and for signal demodulation comprising: (a) means for receiving an input BRA signal selected from the group of binary, multi-level, and analog signals and combinations thereof; (b) filtering means of the BRA input signal; (c) BRA signal shaping means for the filtered input signal; (d) amplification means for varying the modulation index of the BRA signal, the amplifier receiving the filtered input signal and providing an amplified input signal; (e) means for BRA signal splitting for receiving the amplified input signal; (f) cross correlation means of BRA data streams; and a BRA signal processor means having an in phase and quadrature phase channel each receiving one of the cross-correlated data streams, each of the in phase and quadrature phase channel having a first delay gain filter, means for generating BRA Cosine and BRA Sine values for the in phase and quadrature phase channel data stream; (g) a BRA wave shaper and a second BRA delay gain filter, such that the signal processor provides in phase and quadrature phase cross correlated data signal processor; (h) means for quadrature modulation with a BRA modulated signal adaptable for coherent or non-coherent demodulation of the quadrature BRA Frequency Modulated (FM) signal; (i) controlling means and signal selection means for BRA rate processor selection; (j) selection means for Linear and/or Non-Linearly Amplified (NLA) baseband and/or of modulated signals coupling port means to the transmission medium; (k) receiver port means for connection of one or more received cross-correlated signals to the BRA demodulator; (I) BRA demodulator means; and (m) Mis-Matched (MM) demodulator filtering means for BRA, MFS and CS demodulation in which the the demodulator filter set is MM to that of the BRA, MFS and BRA filter set of the modulator. 
     A twenty-fifth embodiment (25) provides a signal processing, modulation, transmission, signal reception and demodulation system, designated as Feher&#39;s Gaussian Minimum Shift Keyed (GMSK) for Bit Rate Agile (BRA), Modulation Demodulation (Modem) Format Selectable (MFS) and Code Selectable (CS) systems comprising: (a) input port for receiving input data; (b) Gaussian low-pass filter and presetable gain integrator for processing the input data and providing filtered input data; (c) a splitter having an input coupled to the input port, and serving to split the filtered input data into in phase (I) and quadrature phase (Q)channel cross coupled data streams such that the I and Q data streams are proportional in gain and phase to the input data; (d) a signal processing network for receiving the I and Q channel data streams and providing processed in phase and quadrature phase signals, the signal processing network including a signal processor for varying the modulation index for the signal processing network; (e) means for generating Cosine and Sine values for the I and Q channel BRA, MFS and CS data streams; (f) means for filtering by bit rate agile FIR or IIR or switched filter and/or other post GMSK shaping filters the signals in the I and Q channels such that the signal processor provides in phase and quadrature phase cross correlated data signals for quadrature modulation with a modulated signal suitable for amplification in linear and non-linear mode; (g) means for providing the amplified signal to the transmission port; (h) a receiver port for connection of the received cross-correlated signal to the BRA and MFS demodulator; (i) a BRA and MFS quadrature demodulator; and (j) a Mis-Matched (MM) BRA and MFS demodulator filter set in which the the demodulator filter set is MM to that of the BRA and MFS filter set of the modulator. 
     A twenty-sixth embodiment (26) provides a structure comprising: a input port for receiving baseand signals; and a baseband signal processing network for receiving the baseband signals and providing cross-correlated bit rate agile Peak Limited (PL) in-phase and quadrature-phase baseband signals. 
     A twenty-seventh embodiment (27) provides a structure for Orthogonal Frequency Division Multiplexed (OFDM) signals comprising: a input port for receiving OFDM baseband signals; and a baseband signal processing network for receiving the baseband signals and providing cross-correlated filtered in-phase and quadrature-phase baseband signals. 
     A twenty-eighth embodiment (28) provides a structure comprising: a input port for receiving Orthogonal Frequency Division Multiplexed (OFDM) baseband signals; and a baseband signal processing network for receiving the OFDM signals and providing cross-correlated filtered in-phase and quadrature-phase baseband signals. 
     A twenty-ninth embodiment (29) provides a structure comprising: a input port for receiving Orthogonal Frequency Division Multiplexed (OFDM) baseband signals; and a baseband signal processing network for receiving the OFDM signals and providing cross-correlated Peak Limited (PL) in-phase and quadrature-phase baseband signals. 
     A thirtieth embodiment (30) provides a structure comprising: an input port for receiving baseband signals; a baseband signal processing network for receiving the baseband signals and providing more than two state cross-correlated filtered in-phase and quadrature-phase baseband signals; a Quadrature Modulator serving to quadrature modulate the cross-correlated filtered in-phase and quadrature-phase baseband signals; and a transmit amplifier to provide the quadrature modulated signal to the transmission medium. 
     A thirty-first embodiment (31) provides a Bit Rate Agile (BRA) structure comprising: a input port for receiving single or plurality of baseband binary input signals; a baseband signal processing network for receiving the baseband binary signals and providing combined Time Constrained Signal(TCS) response and Long Response (LR) filtered multi-level in-phase and quadrature-phase baseband signals; and a Quadrature Modulator serving to quadrature modulate the Time Constrained Signal (TCS) response and Long Response (LR) filtered in-phase and quadrature-phase baseband signals; a transmit amplifier to provide the quadrature modulated signal to the transmission medium; an interface receiver port to provide connection of the the filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for signal demodulation. 
     A thirty-second embodiment (32) provides a structure comprising: a input port for receiving a plurality of baseband signals; a baseband signal processing network for receiving the plurality of baseband signals and providing cross-correlated filtered in-phase and quadrature-phase baseband signals to two or more quadrature modulators for quadrature modulation; a set of two or more transmit amplifiers to amplify and provide the quadrature modulated signals for RF combining; and a combiner device for RF combining of the quadrature modulated amplified signals. 
     A thirty-third embodiment (33) provides a structure comprising: a input port for receiving a plurality of baseband signals; a baseband signal processing network for receiving the plurality of baseband signals and providing in-phase and quadrature-phase filtered baseband signals to two or more quadrature modulators for quadrature modulation; and a set of two or more transmit amplifiers to amplify and couple the quadrature modulated amplified signals to two or more antennas. 
     A thirty-fourth embodiment (34) provides a structure comprising: a input port for receiving baseband signals; a baseband signal processing network for receiving and splitting the signals and for providing cross-correlated filtered in-phase and quadrature-phase baseband signals to two or more quadrature modulators for quadrature modulation; and a set of two or more transmit amplifiers to amplify and provide the quadrature modulated amplified RF signals to an antenna array. 
     A thirty-fifth embodiment (35) provides a structure comprising: a signal processing network for receiving and splitting signals and for providing cascaded Time Constrained Signal (TCS) response and Long Response(LR) filtered in-phase and quadrature-phase baseband signals to two or more quadrature modulators for quadrature modulation; a set of two or more transmit amplifiers to amplify and provide the quadrature modulated amplified RF signals for RF combining; and a combiner device for RF combining of the quadrature modulated amplified signals. 
     A thirty-sixth embodiment (36) provides a structure comprising: an interface receiver port to provide connection of received Bit Rate Agile (BRA) cross-correlated filtered quadrature modulated signal to the demodulator; and a demodulator structure to serve for signal demodulation of the signal. 
     A thirty-seventh embodiment (37) provides an adaptive equalizer structure comprising: an interface receiver port to provide connection of received modulated signal to the pre-demodulation adaptive equalizer; a pre-demodulation adaptive equalizer structure comprising splitter, multiplier and delay structure for generating a control signal and received modulated signal time delayed product in one branch of the splitter and coupling the signal time delayed product in one branch of the splitter and the the received modulating signal in the other branch of the splitter to a signal combiner; a signal combiner structure for combining the the delayed control signal and received modulated signal product; a demodulator structure for demodulating the combined delayed control signal and received modulated signal product; and a control signal processor for generation of and connection of the control signal to the the product multiplier circuit. 
     A thirty-eighth embodiment (38) provides an adaptive equalizer and switchable delay structure comprising: an interface receiver port to provide connection of received modulated signal to a plurality of splitters, amplifiers, delay elements and signal combiners for signal selection of the received modulated signal; a demodulator structure for demodulating the selected received modulated signal; and a control signal processor for generation of the control signal. 
     The invention further provides methods and procedures performed by the structures, devices, apparatus, and systems described herein before, as well as other embodiments incorporating combinations and subcombinations of the structures highlighted above and described herein. 
     All publications including patents, pending patents and reports listed or mentioned in these publications and/or in this patent/invention are herein incorporated by reference to the same extent as if each publication or report, or patent or pending patent and/or references listed in these publications, reports, patents or pending patents were specifically and individually indicated to be incorporated by reference. The invention now being fully described, it will be apparent to one of ordinary skill in the art that many changes and modifications can be made thereto without departing from the spirit or scope of the appended claims.