Patent Publication Number: US-6987746-B1

Title: Pilot signals for synchronization and/or channel estimation

Description:
This application claims the benefit of U.S. Provisional Application No. 60/136,763 filed May 28, 1999, and this application is also a continuation-in-part of application Ser. No. 09/373,703 U.S. Pat. No. 6,791,960 and application Ser. No. 09/376,373 U.S. Pat. No. 6,721,299 filed Aug. 13, 1999 and Aug. 18, 1999, respectively, and application Ser. No. 09/525,444 U.S. Pat. No. 6,804,264, application Ser. Nos. 09/525,446, and 09/525,448, all filed Mar. 14, 2000, whose entire disclosure is incorporated herein by reference therein. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to communication systems, and more particularly, wireless communication systems, preferably, wide band code division multiple access (W-CDMA) communication systems. 
     2. Background of the Related Art 
     The use of code division multiple access (CDMA) modulation techniques is one of several techniques for facilitating communications in which a large number of systems are present.  FIG. 1  generally illustrates a system  10 , which uses CDMA modulation techniques in communication between user equipment (UE)  12   a  and  12   b , each UE including a cellular telephone, and base stations (BTS)  14   a  and  14   b . A base station controller (BSC)  16  typically includes an interface and processing circuitry for providing system control to the BTS  14   a ,  14   b . The BSC  16  controls the routing of telephone calls from the public switched telephone network (PSTN) to the appropriate BTS for transmission to the appropriate UE. The BSC  16  also controls the routing of calls from the UEs, via at least one BTS to the PSTN. The BSC  16  may direct calls between UEs via the appropriate BTS since UEs do not typically communicate directly with one another. The BSC  16  may be coupled to the BTS  14   a  and  14   b  by various means including dedicated telephone lines, optical fiber links or by microwave communication links. 
     The arrows  13   a - 13   d  define the possible communication links between the BTS  14   a  and UEs  12   a  and  12   b . The arrows  15   a - 15   d  define the possible communication links between the BTS  14   ba  and UEs  12   a  and  12   b . In the reverse channel or uplink (i.e., from UE to BTS), the UE signals is received by BTS  14   a  and/or BTS  14   b , which, after demodulation and combining, pass the signal forward to the combining point, typically to the BSC  16 . In the forward channel or downlink (i.e., from BTS to UE), the BTS signals are received by UE  12   a  and/or UE  12   b . The above system is described in U.S. Pat. Nos. 5,101,501; 5,103,459; 5,109,390; and 5,416,797, whose entire disclosure is hereby incorporated by reference therein. 
     A radio channel is a generally hostile medium in nature. It is rather difficult to predict its behavior. Traditionally, the radio channels are modeled in a statistical way using real propagation measurement data. In general, the signal fading in a radio environment can be decomposed into a large-scale path loss component together with a medium-scale slow varying component having a log-normal distribution, and a small-scale fast varying component with a Rician or Rayleigh distribution, depending on the presence or absence of the line-of-sight (LOS) situation between the transmitter and the receiver. 
       FIG. 2  illustrates these three different propagation phenomena. An extreme variation in the transmission path between the transmitter and receiver can be found, ranging from direct LOS to severely obstructed paths due to buildings, mountains, or foliage. The phenomenon of decreasing received power with distance due to reflection, diffraction around structures, and refraction is known as path loss. 
     As shown, the transmitted signal is reflected by many obstacles between a transmitter and a receiver, thus creating a multipath channel. Due to the interference among many multipaths with different time delays, the received signal suffers from frequency selective multipath fading. For example, when the 2 GHz carrier frequency band is used and a car having a UE is travelling at a speed of 100 km/h, the maximum Doppler frequency of fading is 185 Hz. While coherent detection can be used to increase link capacity, under such fast fading, the channel estimation for coherent detection is generally very difficult to achieve. Because of fading channels, it is hard to obtain a phase reference for the coherent detection of data modulated signal. Therefore, it is beneficial to have a separate pilot channel. 
     Typically, a channel estimate for coherent detection is obtained from a common pilot channel. However, a common pilot channel transmitted with an omnidirectional antenna experiences a different radio channel than a traffic channel signal transmitted through a narrow beam. It has been noticed that common control channels are often problematic in the downlink when adaptive antennas are used. The problem can be circumvented by user dedicated pilot symbols, which are used as a reference signal for the channel estimation. The dedicated pilot symbols can either be time or code multiplexed. 
       FIG. 3  depicts a block diagram of a transmitter and a receiver for time multiplexed pilot symbols for an improved channel estimation method that works satisfactorily under slow-to-fast fading environments. Known pilot symbols are periodically multiplexed with the sequence of the transmitted data. The pilot symbols and data symbols following pilot symbols constitute a slot, as shown in FIG.  3 . 
     Further, in a DS-CDMA transmitter, the information signal is modulated by a spreading code, and in the receiver, it is correlated with a replica of the same code. Thus, low cross-correlation between the desired and interfering users is important to suppress the multiple access interference. Good autocorrelation properties are required for reliable initial synchronization, since large sidelobes of the autocorrelation function may lead to erroneous code synchronization decisions. Furthermore, good autocorrelation properties are important to reliably separate the multipath components. 
     Since the autocorrelation function of a spreading code should resemble, as much as possible, the autocorrelation function of white Gaussian noise, the DS code sequences are also called pseudo-noise (PN) sequences. The autocorrelation and cross-correlation functions are connected in such a way that it is not possible to achieve good autocorrelation and cross-correlation values simultaneously. This can be intuitively explained by noting that having good autocorrelation properties is also an indication of good randomness of a sequence. Random codes exhibit worse cross-correlation properties than deterministic codes. 
     Such mobile communication system has gone through different stages of evolution, and various countries used different standards. First generation mobile systems in the 1980s used analog transmission for speech services. Advanced Mobile Phone Service (AMPS) in the United States, Total Access Communication System (TACS) in the United Kingdom, Nordic Mobile Telephones (NMT) in Scandinavia, Nippon Telephone and Telegraph (NTT) in Japan, etc., belonged to the first generation. 
     Second generation systems using digital transmission were introduced in the late 1980s. They offer higher spectrum efficiency, better data services, and more advanced roaming than the first generation systems. Global System for Mobile Communications (GSM) in Europe, Personal Digital Cellular (PDC) in Japan, and IS-95 in the United States belonged to the second generation. 
     Recently, third generation mobile radio networks have been under intense research and discussion and will emerge around the year 2000. In the International Telecommunication Union (ITU), the third generation networks are called International Mobile Telecommunications—2000 (IMT-2000) and in Europe, Universal Mobile Telecommunication System (UMTS). IMT-2000 will provide a multitude of services, including multimedia and high bit rate packet data. 
     Wideband CDMA has emerged as the mainstream air interface solution for the third generation networks. Wideband CDMA systems are currently being standardized by the European Telecommunications Standards Institute (ETSI) of Europe, the Association for Radio Industry and Business (ARIB) of Japan, the TIA Engineering Committees TR45 and TR46 and the T1 committee T1P1 of the United States, and the Telecommunication Technology Association TTA I and TTA II (renamed Global CDMA I and II, respectively) in Korea. The above description and a background of various systems can be found in  WIDEBAND CDMA FOR THIRD GENERATION MOBILE COMMUNICATIONS  by T. Ojanpera et al, published 1998, by Artech House Publishers, whose entire disclosure is hereby incorporated by reference therein. 
     Recently, ARIB in Japan, ETSI in Europe, T1 in U.S.A., and TTA in Korea have mapped out a third generation mobile communication system based on a core network and radio access technique of an existing global system for mobile communications (GSM) to provide various services including multimedia, such as audio, video and data. They have agreed to a partnership study for the presentation of a technical specification on the evolved next generation mobile communication system and named a project for the partnership study as a third generation partnership project (3GPP). 
     The 3GPP is classified into three part technical studies. The first part is a 3GPP system structure and service capability based on the 3GPP specification. The second part is a study of a universal terrestrial radio access network (UTRAN), which is a radio access network (RAN) applying wideband CDMA technique based on a frequency division duplex (FDD) mode, and a TD-CDMA technique based on a time division duplex (TDD) mode. The third part is a study of a core network evolved from a second generation GSM, which has third generation networking capabilities, such as mobility management and global roaming. 
     Among the technical studies of the 3GPP, the UTRAN study defines and specifies the transport and physical channels. This technical specification, TS S1.11 v1.1.0, was distributed on March of 1999, whose entire disclosure is hereby incorporated by reference therein. The physical channel includes the dedicated physical channels (DPCHs) used in the uplink and downlink. Each DPCH is generally provided with three layers, e.g., superframes, radio frames and timeslots. As specified in the 3GPP radio access network (RAN) standard, a superframe has a maximum frame unit of 720 ms period. In view of the system frame numbers, one superframe is composed of seventy-two radio frames. Each radio frame has a period of 10 ms, and a radio frame includes sixteen timeslots, each of which includes fields with corresponding information bits based on the DPCH. 
       FIG. 4  illustrates a frame structure of an uplink DPCH based on the 3GPP RAN standard. The uplink DPCH is provided with two types of channels, e.g., a dedicated physical data channel (DPDCH) and a dedicated physical control channel (DPCCH). The uplink DPDCH is adapted to transport the dedicated data and the uplink DPCCH is adapted to transport the control information. 
     The uplink DPCCH for the transport of the control information includes various fields such as a pilot field  21  of N pilot  bits, a transmit power-control (TPC) field  22  of N TPC  bits, a feedback information (FBI) field  23  of N FBI  bits and an optional transport-combination indicator (TFCI) field  24  of N TFCI  bits. The pilot field  21  includes pilot bits N pilot  for supporting channel estimation for coherent detection. The TFCI field  4  supports the simultaneous provision of a plurality of services by the system. The absence of the TFCI field  4  in the uplink DPCCH signifies that the associated service is a fixed rate service. The parameter k determines the number of bits per uplink DPDCH/DPCCH slot. It is related to the spreading factor SF of the physical channel as SF=256/2 k . The spreading factor SF may thus range from 256 down to 4. 
       FIG. 5  is a table showing various information of the uplink DPCCH, wherein channel bit and symbol rates are those just prior to spreading. (At the time of this technical specification, the exact number of bits of the different uplink DPCCH fields of  FIG. 4  (N pilot , N TPC , N FBI , and N TFCI ) was not determined.) 
       FIG. 6  is a table illustrating pilot bit patterns of the uplink DPCCH, and more particularly, 6-bit and 8-bit pilot bit patterns for each slot. In  FIG. 6 , the non-shaded sequence is used for channel estimation, and shaded sequence can be used as frame synchronization words or sequences. The pilot bits other than frame synchronization word, e.g., channel estimation word, have a value of 1. 
     For example, in the case where each slot includes six pilot bits N pilot =6, the sequences formed by slot # 1  to slot # 16  at bit # 1 , at bit # 2 , at bit # 4 , and at bit # 5  are used as the frame synchronization words. In the case where each slot is composed of eight pilot bits (N pilot =8), the sequences at bit # 1 , at bit # 3 , at bit # 5 , and at bit # 7  are used as the frame synchronization words. In the case where the pilot bits of each sequences slot are either 6 or 8 in number, a total of four is used as the frame synchronization word. As a result, because one radio frame is provided with sixteen timeslots, the number of pilot bits used as the frame synchronization word is 64 bits per frame. 
       FIG. 7  shows a spreading/scrambling arrangement for the uplink DPCH based on the 3GPP RAN standard. The arrangement of  FIG. 7  is provided for the execution of a quadrature phase shift keying (QPSK) operation where the uplink DPDCH and DPCCH are mapped into I and Q channel branches, respectively. 
     The spreading is an operation for switching all symbols through the respective channel branches to a plurality of chips. The I and Q channel branches are spread respectively at chip rates based on two different orthogonal variable spreading factors (OVSFs), or channelizing codes C D  and C C . The OVSF represents the number of chips per symbol on each channel branch. The spread of two channel branches are summed and then complex-scrambled by a specific complex scrambling code C scramb . The complex-scrambled result is separated into real and imaginary and then transmitted after being placed on respective carriers. 
       FIG. 8  illustrates a frame structure of a downlink DPCH based on the 3GPP RAN standard. The number of pilot bits (or symbols) in the uplink DPCH is 6 or 8 because the uplink DPCH is activated at a fixed rate of 16 Kbps. However, since the downlink DPCH is activated at a variable rate, it has pilot symbol patterns illustrated in FIG.  9 . 
     With reference to  FIG. 8 , similar to the uplink DPCH, the downlink DPCH is provided with two types of channels, e.g., a dedicated physical data channel (DPDCH) and a dedicated physical control channel (DPCCH). In the downlink DPCH, the downlink DPDCH is adapted to transport the dedicated data and the downlink DPCCH is adapted to transport the control information. The downlink DPCCH for transporting the control information is composed of various fields such as a pilot field  27 , TPC field  26  and TFCI field  25 . The pilot field  27  includes pilot symbols for supporting the channel estimation for coherent detection. 
       FIG. 9  is a table illustrating pilot symbol patterns contained in the downlink DPCCH, which are classified according to different symbol rates of the downlink DPCCH. For example, in the case where the symbol rate is 16, 32, 64 or 128 Kbps, each slot includes four pilot symbols for an I channel branch and four pilot symbols for a Q channel branch, totaling eight pilot symbols. 
     In  FIG. 9 , the non-shaded sequence is used for channel estimation and shaded sequences can be used as frame synchronization words. The remaining pilot symbols other than the frame synchronization word (e.g., channel estimation) have a value of 11. For example, in the case where the symbol rate is 16, 32, 64 or 128 Kbps, the sequences, formed by pilot symbols from slot # 1  to slot # 16 , at symbol # 1  and at symbol # 3  are used as the frame synchronization words. Accordingly, because the number of pilot symbols used as the frame synchronization words is 4 per slot, 64 pilot symbols are used in each radio frame. 
       FIG. 10  illustrates a spreading/scrambling arrangement for the downlink DPCH based on the 3GPP RAN standard. The arrangement of  FIG. 10  is provided for the spreading and scrambling of the downlink DPCH and a common control physical channel (CCPCH). A QPSK operation is performed with respect to a pair of symbols of the two channels in such a manner that they are serial-to-parallel converted and then mapped into I and Q channel branches, respectively. 
     The I and Q channel branches are spread respectively at chip rates based on two equal channelizing codes C ch . The spread of the two channel branches are summed and then complex-scrambled by a specific complex scrambling code C scramb . The complex-scrambled result is separated into real and imaginary and then transmitted, after being placed on respective carriers. Noticeably, the same scrambling code is used for all physical channels in one cell, whereas different channelizing codes are used for different physical channels. Data and various control information are transported to a receiver through the uplink and downlink DPCHs subjected to the above-mentioned spreading and scrambling. 
     The TS S1.11 v1.1.0 specification also specified a primary common control physical channel (PCCPCH), which is a fixed rate downlink physical channel used to carry the broadcast channel (BCH), and a secondary common control physical channel (SCCPCH) used to carry the forward access channel (FACH) and the paging channel (PCH) at a constant rate.  FIGS. 11A and 11B  illustrate the frame structure of PCCPCH and SCCPCH, each having a pilot field. The TS S1.11 v1.1.0 specification recommended the pilot patterns for the PCCPCH and SCCPCH. Further, the TS S1.11 v1.1.0 specification recommended the pilot pattern of the DPCH channel for the diversity antenna using open loop antenna diversity based on space time block coding based transmit diversity (STTD) and diversity antenna pilot patterns for PCCPCH and SCCPCH. Those patterns can be found in the TS S1.11 v1.1.0 specification, and detailed description is being omitted. 
     For frame synchronization, an autocorrelation function must be performed on the basis of the pilot pattern sequence. In the pilot sequence design, finding an autocorrelation of a sequence with the lowest out-of-phase coefficient is important to decrease the probability of false alarm regarding the synchronization. A false alarm is determined when a peak is detected when there should not be a peak detection. 
     Optimally, the result of the autocorrelation for a frame with a sequence at a prescribed pilot bit should have same maximum values at zero and middle time shifts of one correlation period, which are different in polarity, and the remaining sidelobes at time shifts other than zero and middle should have a value of zero. However, the various pilot patterns recommended in the TS S1.11 v1.1.0 do not meet this requirement, both in the uplink and downlink. 
     In an article entitled “Synchronization Sequence Design with Double Thresholds for Digital Cellular Telephone” by Young Joon Song et al. (Aug. 18-20, 1998), the present inventor being a co-author, the article describes a correlator circuit for GSM codes where the out-of-phase coefficients are all zero except one exception at zero and middle shift having a first peak and a second peak, where the first and second peaks are opposite in polarity, but the peaks are not equal to one another. Further, the article describes lowest out-of-phase coefficients of +4 and −4. However, the article does not provide how such sequences and autocorrelation can be used to achieve the above described optimal results, and the article does not provide sufficient disclosure that the sequences achieve or can achieve the lowest autocorrelation sidelobes. 
     As described above, the pilot patterns used as frame synchronization words or sequences do not achieve the optimal results. Further, the background pilot patterns do not rapidly and accurately perform the frame synchronization. Moreover, the above pilot patterns and frame synchronization sequences do not provide optimal cross-correlation and autocorrelation. Additionally, neither the TS specification nor the article provides a solution of the use of the pilot patterns for slot-by-slot double check frame synchronization scheme, and neither discloses the use of the frame synchronization sequence for channel estimation. 
     SUMMARY OF THE INVENTION 
     An object of the present invention is to obviate at least the problems and disadvantages of the related art. 
     An object of the present invention is to provide frame synchronization words resulting in optimal autocorrelation results. 
     A further object of the present invention is to eliminate or prevent sidelobes. 
     A further object of the present invention is to provide maximum values at zero and middle time shifts. 
     Another object of the present invention is to provide a synchronization word for at least one of rapid and accurate frame synchronization. 
     Another object of the present invention is to provide a slot-by-slot double check frame synchronization scheme. 
     Still another object of the present invention is to provide a frame synchronization word which can be used for channel estimation. 
     Still another object of the present invention is to provide good cross-correlation and autocorrelation simultaneously. 
     An object of the invention is to provide a frame synchronization apparatus and method for accomplishing frame synchronization by using upward and downward link pilot patterns proposed in a 3GPP radio access network standard. 
     According to an aspect of the present invention, there is provided a frame synchronization method using an optimal pilot pattern including the steps of: storing column sequences demodulated and inputted by slots, in a frame unit, in detecting frame synchronization for upward and downward link channels; converting the stored column sequences according to a pattern characteristic related to each sequence by using the pattern characteristic obtained from the relation between the column sequences; adding the converted column sequences by slots; and performing a correlation process of the added result to a previously designated code column. 
     Preferably, the converting step comprises the steps of shifting, reversing and inverting the single column sequence to thereby generate the remaining column sequences. 
     According to another aspect of the present invention, there is provided a frame synchronization apparatus using an optimal pilot pattern including: a memory mapping/addressing block for converting column sequences inputted/demodulated by slots according to a defined pattern characteristic; an adder for adding the converted outputs from the memory mapping/addressing block; and a correlator for performing a correlation process of the added result to a previously designated code column. 
     The present invention can be achieved in a whole or in parts by a method for synchronizing a frame using an optimal pilot symbol, comprising the steps of: (1) receiving a pilot symbol of each slot in the frame through respective physical channels on a communication link; (2) correlating a received position of each of the pilot symbols to a corresponding pilot sequence; (3) combining and summing more than one results of the correlations, and deriving a final result from the correlations in which sidelobes from the results of the correlations are offset; and (4) synchronizing the frame using the final result. 
     The pilot symbols are combined into each of the pilot sequences such that the final result of the correlations shows sidelobes with 0″ values excluding particular positions of correlation periods. The particular positions are starting points (x=0) of the correlation periods (x) and points of x/an integer. The pilot symbol is a combination of pilot symbols in a form of (a,/a). The pilot sequence provides least correlation resultants at positions excluding the starting points and half of the starting points in the correlation periods. The pilot symbols excluding the pilot symbols used in the correlation is used in a channel estimation for detecting coherent. The pilot symbol of each slot in the frame is transmitted, with the pilot symbol contained in a pilot field of an exclusive physical control channel among respective exclusive channels on the communication link. The pilot sequences different from each other on an up communication link are used in the correlation according to values of bits included in a pilot field of an exclusive physical control channel. The pilot sequences different from each other on a down communication link are used in the correlation according to a symbol rate of an exclusive physical control channel. 
     The present invention can be also achieved in a whole or in parts by a method for synchronizing a frame using an optimal pilot symbol, comprising the steps of: (1) receiving a pilot symbol of each slot in the frame through respective physical channels on a communication link; (2) correlating a received position of each of the pilot symbols to a corresponding pilot sequence; (3) combining and summing more than one results of the correlations, and deriving a final result from the correlations in which sidelobes from the results of the correlations have minimum values and the results of the correlations at starting points and middle points of correlation periods have maximum values with different polarity; and (4) synchronizing the frame using the final result. 
     The present invention can be achieved in a whole or in parts by a method of eliminating sidelobes in a communication channel between a base station and a mobile station, comprising the steps of: generating control signals and data signals within the communication channel, the control signals having a first sequence of L-bits and a second sequence of L-bits; generating a first set of prescribed values based on the first sequence, which has a first prescribed relationship with the first set of prescribed values; generating a second set of prescribed values based on the second sequence, which has a second prescribed relationship with the second set of prescribed values; and combining the first and second sets of prescribed values. 
     The present invention can be achieved in a whole or in parts by a method of establishing a communication channel, the method comprising the steps of: generating a plurality of frames; generating a L-number of slots for each frame, each slot having a pilot signal of N-bits and a corresponding bit in each slot forming a word of L-sequence of pilot bits such that there is N number of words, wherein the number of bit values of two pilot bits which are the same between two adjacent words from 1 to L slots minus the number of bit values of two pilot bits which are different between the two adjacent words from 1 to L is zero or a prescribed number close to zero. 
     The present invention can be achieved in a whole or in parts by a method of establishing a communication channel having at least one of frame synchronization and channel estimation, the method comprising the steps of: generating a plurality of frames; generating a L-number of slots for each frame, each slot having a pilot signal of N-bits and a corresponding bit in each slot forming a word of L-sequence of pilot bits such that there is N number of words, wherein the words have at least one of the following characteristics: cross-correlation between two adjacent sequences used for frame synchronization is zero at zero time shift, or cross-correlation between a word used for frame synchronization and a word used for channel estimation is zero at all time shifts. 
     The present invention can be achieved in a whole or in parts by a method of reducing sidelobes for frame synchronization, comprising the steps of: generating a plurality of frame synchronization words, each frame synchronization word having a plurality of bits; performing autocorrelation functions on a pair of frame synchronization words to generate a pair of prescribed value sets; and combining the pair of prescribed value sets such that two peak values equal in magnitude and opposite in polarity are achieved at zero and middle time shifts. 
     The present invention can be achieved in a whole or in parts by a method of generating pilot signals of a prescribed pattern within a frame having L-number of slots, comprising the steps of: generating N-number of pilot bits for each slot; and forming N-number of words of L-bit based on above step, wherein a prescribed number of words is used for frame synchronization words and each frame synchronization word has a first prescribed number b 0  of bit values of “0” and a second prescribed number b 1  of bit values of “1”, such that b 1 −b 0  is equal to zero or a number close to zero. 
     The present invention can be achieved in a whole or in parts by a communication link between a user equipment and a base station comprising a plurality of layers, wherein one of the layers is a physical layer for establishing communication between the user equipment and the base station and the physical layer has at least one of data and control information, one of the control information being a pilot field of N-bits transmitted for L-number of slots such that N-number of words of L-bit are formed, wherein cross-correlation between two adjacent words used for frame synchronization is zero at zero time shift or cross-correlation between a word used for frame synchronization and a word used for channel estimation is zero at all time shifts. 
     The present invention can be achieved in a whole or in parts by a correlator circuit for at least one of a user equipment and a base station, comprising: a plurality of latch circuits, each latch circuit latching a word formed by a pilot bit from a plurality of slots; a plurality of correlators, each correlator coupled to a corresponding latch circuit and correlating the word to a set of prescribed values; and a combiner that combines the set from each correlator such that maximum peak values of equal in magnitude and opposite in polarity are formed at zero and middle time shifts. 
     The present invention can be achieved in a whole or in parts by a communication device comprising: means for transmitting at least one of data and control information; means for receiving at least one of data and control information, wherein the receiving means includes: a plurality of latch circuits, each latch circuit latching a word formed by a pilot bit from a plurality of slots; a plurality of correlators, each correlator coupled to a corresponding latch circuit and correlating the word to a set of prescribed values; a plurality of buffers, each buffer coupled to a corresponding correlator to store the set of prescribed values; and a combiner that combines the set from each buffer such that maximum peaks of equal in magnitude and opposite in polarity are formed at zero and middle time shifts. 
     Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objects and advantages of the invention may be realized and attained as particularly pointed out in the appended claims. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The invention will be described in detail with reference to the following drawings in which like reference numerals refer to like elements wherein: 
         FIG. 1  generally illustrates a system, which uses CDMA modulation techniques in communication between user and base stations; 
         FIG. 2  illustrates these three different propagation phenomena; 
         FIG. 3  depicts a block diagram of a transmitter and a receiver for time multiplexed pilot symbols; 
         FIG. 4  illustrates a frame structure of an uplink DPCH based on the 3GPP RAN standard; 
         FIG. 5  is a table showing various information of the uplink DPCCH; 
         FIG. 6  is a table illustrating pilot bit patterns of the uplink DPCCH; 
         FIG. 7  shows a spreading/scrambling arrangement for the uplink DPCH based on the 3GPP RAN standard; 
         FIG. 8  illustrates a frame structure of a downlink DPCH based on the 3GPP RAN standard; 
         FIG. 9  is a table illustrating pilot symbol patterns contained in the downlink DPCCH; 
         FIG. 10  illustrates a spreading/scrambling arrangement for the downlink DPCH based on the 3GPP RAN standard; 
         FIGS. 11A and 11B  illustrate the frame structure of PCCPCH and SCCPCH, respectively; 
         FIG. 12A  is a table illustrating the frame synchronization words C 1  to C i-th  in accordance with a preferred embodiment of the present invention; 
         FIG. 12B  is a table illustrating the autocorrelation function of the sequences of pilot bits; 
         FIG. 13A  illustrates addition of two autocorrelation functions; 
         FIG. 13B  illustrates addition of the four autocorrelation functions; 
         FIGS. 14A and 14B  are tables illustrating the pilot patterns in accordance with a preferred embodiment of the present invention for uplink DPCCH; 
         FIG. 14C  is a table illustrating the mapping relationship between the 8 synchronization words C 1 -C 8  of FIG.  12 A and shaded pilot bit patterns of  FIGS. 14A and 14B ; 
         FIG. 14D  illustrates a correlation circuit for frame synchronization based on pilot bits of the uplink DPCCH in accordance with a preferred embodiment of the present invention; 
         FIG. 14E  is a table illustrating the correlation results at points A 1 -A 4 , and the summing of the correlation results at point B of FIG.  14 D. 
         FIG. 14F  is a table illustrating various results of the addition of correlation results based on the uplink pilot patterns of the frame synchronization words in accordance with the preferred embodiment of the present invention; 
         FIG. 14G  illustrates a correlator circuit for frame synchronization based on pilot bit sequences of an uplink DPCCH in accordance with an alternative embodiment; 
         FIG. 14H  illustrates the receiver circuit of a base station or a user equipment to recover the received spread signal including the frame synchronization words in the pilot field; 
         FIG. 14I  illustrates results of correlation circuit using the pilot pattern of the technical specification; 
         FIG. 14J  illustrates a time shift graph of the summation of results of  FIG. 14I ; 
         FIG. 15A  illustrates the pilot symbol patterns for downlink DPCH; 
         FIG. 15B  illustrates the mapping relationship between the 8 frame synchronization words of  FIG. 12A , and shaded pilot symbol pattern of  FIG. 15A ; 
         FIG. 15C  illustrates a correlation circuit for frame synchronization for downlink DPCCH in accordance with the preferred embodiment; 
         FIG. 16A  illustrates pilot symbol pattern of PCCPCH; 
         FIG. 16B  illustrates the mapping relationship between the synchronization words C 1 -C 8  of  FIG. 12A , and the shaded pilot symbol patterns of  FIG. 16A ; 
         FIG. 16C  illustrates pilot symbol pattern of SCCHPCH; 
         FIG. 16D  illustrates the mapping relationship between the synchronization words C 1 -C 8  of  FIG. 12A , and the shaded pilot symbol patterns of  FIG. 16C ; 
         FIGS. 17A-17C  illustrate addition of autocorrelation functions of frame synchronization word of the preferred embodiment and current pilot patterns (described in TS S1.11 v1.1.0 specification) for DPCHs and PCCPCH; 
         FIG. 18A  illustrates the parameters used for obtaining P D , P FA , and P S  on uplink DPCCH and downlink DPCH over additive white Gaussian noise (AWGN); 
         FIG. 18B  illustrates the probability of detection P D  on downlink DPCCH over AWGN channel; 
         FIG. 18C  illustrates the probability of false alarm P FA  on downlink DPCCH over AWGN channel; 
         FIG. 18D  illustrates the probability of a frame synchronization confirmation success P S  on downlink DPCCH over AWGN channel; 
         FIG. 19A  illustrates pilot symbol patterns of downlink DPCH for the diversity antenna using a space time block coding based transmit diversity (STTD); 
         FIG. 19B  illustrates the mapping relationship between the 8 words C 1 -C 8  of FIG.  12 A and shaded pilot symbol patterns of  FIG. 19A ; 
         FIG. 19C  illustrates the diversity antenna pilot symbol pattern for PCCPCH; 
         FIG. 19D  illustrates the mapping relationship between the words C 1 -C 8  of FIG.  12 A and shadowed pilot symbol patterns of  FIG. 19C ; 
         FIG. 19E  illustrates the pilot symbol pattern for the diversity antenna when STTD encoding is used on the SCCPCH; 
         FIG. 19F  illustrates the mapping relationship between the words C 1 -C 8  of FIG.  12 A and shaded pilot symbol patterns of  FIG. 19E ; 
         FIG. 20A  is a table illustrating frame synchronization words C 1 -C 16  (i=16) and autocorrelated function in accordance with another preferred embodiment of the present invention; 
         FIG. 20B  is a table illustrating the autocorrelation function of the pilot bits of each frame synchronization word classified in the PCSP; 
         FIG. 20C  illustrates the pilot bit pattern of uplink DPCCH; 
         FIG. 20D  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of  FIG. 20C ; 
         FIGS. 20E and 20F  illustrate the pilot symbol pattern of downlink DPCH; 
         FIG. 20G  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of  FIGS. 20E and 20F ; 
         FIG. 20H  illustrates the pilot symbol pattern of downlink PCCPCH; 
         FIG. 20I  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of FIG.  20 H. 
         FIG. 21  illustrates a preferred embodiment for the new frame synchronization words C 1 -C i-th ; 
         FIG. 22A  illustrates the addition of two auto-correlation functions; 
         FIG. 22B  illustrates the addition of two cross-correlation functions between the two frame synchronization words within the same class; 
         FIG. 22C  illustrates the addition of four auto-correlation functions; 
         FIG. 22D  illustrates the addition of four cross-correlation functions between the four frame synchronization words of two classes; 
         FIG. 23A  illustrates the pilot bit patterns on uplink DPCCH with N pilot =2, 3, and 4; 
         FIG. 23C  illustrates the pilot bit patterns on uplink DPCCH with N pilot =2, 3, and 4 in accordance with an alternative embodiment compared to  FIG. 23A ; 
         FIGS. 23E and 23F  illustrate the pilot bit patterns on uplink DPCCH with N pilot =5, 6, 7, and 8; 
         FIGS. 23B and 23D  illustrate the mapping relationship between the frame synchronization words of  FIG. 21 , and shaded frame synchronization words of  FIGS. 23A and 23D , respectively; 
         FIG. 23G  illustrates the mapping relationship between the frame synchronization words of  FIG. 21 , and the shaded frame synchronization words of  FIGS. 23E and 23F ; 
         FIG. 23H  illustrates the structure of random access channel; 
         FIG. 23I  illustrates the random access message control fields; 
         FIG. 23J  illustrates the pilot bit pattern of the RACH; 
         FIG. 24A  illustrates the pilot symbol patterns on downlink DPCH when N pilot =2, 4, 8, and 16; 
         FIG. 24B  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of  FIG. 24A ; 
         FIG. 24C  illustrates the pilot symbol patterns of downlink DPCH for the diversity antenna using STTD; 
         FIG. 24D  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of  FIG. 24C ; 
         FIG. 25A  illustrates the pilot symbol patterns for downlink SCCPCH for N pilot =8 and 16; 
         FIG. 25B  illustrates the mapping relationship of the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of  FIG. 25A ; 
         FIG. 25C  illustrates the pilot symbol patterns of downlink SCCPCH for Npilot=8 and 16 for the diversity antenna using STTD; 
         FIG. 25D  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of  FIG. 25C ; 
         FIG. 26A  illustrates the parameters used to evaluate the performance of the pilot bit pattern on uplink DPCCH over AWGN; 
         FIG. 26B  illustrates the probability of frame synchronization confirmation success P S  on uplink DPCCH with N pilot =6 over AWGN channel; 
         FIG. 26C  illustrates the probability of a false alarm P FA  on uplink DPCCH with N pilot =6 over AWGN channel; 
         FIG. 27  is a comparison chart between the embodiments for 15 timeslots and 16 slots; 
         FIG. 28A  is a block diagram of an STTD transmitter according to the 3GPP RAN standards; 
         FIG. 28B  illustrates an STTD encoding based on the STTD transmitter of  FIG. 28A ; 
         FIGS. 29A and 29B  are graphs illustrating an embodiment of correlation results using a pilot pattern in accordance with a preferred embodiment of the present invention; 
         FIGS. 30A and 30B  are graphs illustrating another embodiment of correlation results using a pilot pattern in accordance with a preferred embodiment of the present invention; 
         FIG. 31  illustrates a correlation processing apparatus for an uplink channel in accordance with a preferred embodiment of the present invention; 
         FIG. 32  illustrates a correlation processing apparatus for a downlink channel in accordance with a preferred embodiment of the present invention; and 
         FIG. 33  is a graph illustrating the correlation result of the correlation processing apparatus of FIG.  32 . 
     
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS 
     The new frame synchronization words in accordance with the preferred embodiment have the lowest out-of-phase values of autocorrelation function with two peak values equal in magnitude and opposite in polarity at zero and middle shifts. The frame synchronization words are suitable for frame synchronization confirmation since by simply adding autocorrelation functions of such words, double maximum correlation values equal in magnitude and opposite polarity at zero and middle shifts can be achieved. This property can be used to double-check frame synchronization timing and reduce the synchronization search time. 
     The UE establishes downlink chip synchronization and frame synchronization based on the Primary CCPCH synchronization timing and the frame offset group, slot offset group notified from the network. The frame synchronization can be confirmed using the frame synchronization word. The network establishes uplink channel chip synchronization and frame synchronization based on the frame offset group and slot offset group. The frame synchronization can also be confirmed using the frame synchronization word. 
     When long scrambling code is used on uplink channels or downlink channels, failure in frame synchronization confirmation using frame synchronization words always means losing frame and chip synchronizations since the phase of long scrambling code repeats every frame. Whereas in the case of short scrambling code on uplink DPCCH, failure in frame synchronization confirmation does not always implies losing chip synchronization since the length of short scrambling code is 256 and it corresponds to one symbol period of uplink DPCCH with SF=256. Thus, the frame synchronization word of pilot pattern can detect synchronization status and this information can be used in RRC Connection Establishment and Release Procedures of Layer 2. 
       FIG. 12A  is a table illustrating the frame synchronization words C 1  to C i-th  in accordance with a preferred embodiment of the present invention, where each word comprises L number (L&gt;1) of sequence of pilot bits from a prescribed bit position of the N pilot  bits (N pilot &gt;0) from each slot of L number of slots. In the preferred first embodiment described hereinafter, the number of synchronization words i equals 8, the number of slots L=16 and the number of pilot bits N pilot  in each slot is between 4 and 16, but the present invention is applicable to different variations of i, L, and N pilot . 
     The synchronization words C 1 -C 8  of the preferred embodiment can be divided into 4 classes (E-H, referred to as Preferred Correlation Sequence Pair (PCSP)) according to the autocorrelation function of the synchronization words, as follows:
 
E={C 1 , C 5 }
 
F={C 2 , C 6 }
 
G={C 3 , C 7 }
 
H={C 4 , C 8 }
 
       FIG. 12B  is a table illustrating the autocorrelation function of 1 to 16 sequences of pilot bits of each frame synchronization word classified in classes E, F, G and H within one correlation period from a time shift of 0 to 15. As shown in  FIGS. 12A and 12B , each class contains 2 sequences, and sequences of the same class have the same autocorrelation function. From  FIG. 12B , the synchronization words have the lowest out-of-phase values of autocorrelation function with two peak values equal in magnitude and opposite in polarity at zero and middle shifts. Moreover, the results R 1  and R 2  of the autocorrelation function are complements of each other. The following relationships between the autocorrelation functions are expressed in equations (1)-(4):
   R   E (τ)= R   F (τ)= R   G (τ)= R   H (τ), τ is even  (1) 
  R   E (τ)=− R   F (τ), τ is odd  (2)
   R   G (τ)=− R   H (τ), τ is odd  (3)   R   i (τ)+ R   i (τ+8)=0 , i∈{E,F,G,H }, for all τ  (4) 
From equations (1), (2), and (3), the following equation is obtained.
   R   E (τ)+ R   F (τ)= R   G (τ)+ R   H (τ), for all τ  (5) 
     The addition of two autocorrelation functions R E (τ) and R F (τ), or R G (τ) and R H (τ) becomes the function with two peak values equal in magnitude and opposite in polarity at zero and middle shifts, and all zero values except the zero and middle shifts, which is depicted in  FIG. 13A , where the peak values equal 2*L or −2*L. In the preferred embodiment, the peak values of  FIG. 13A  are 32 and −32, since L=16. The other combinations such as (R E (τ)+R G (τ)), (R E (τ)+R H (τ)), (R F (τ)+R G (τ)), and (R F (τ)+R H (τ)) do not have the same value as in FIG.  13 A. By using the derived properties of the frame synchronization words, the following property is achieved. 
                   ∑     i   =   1       2   ⁢   α       ⁢           ⁢       R   i     ⁡     (   τ   )         =     α   ·     (         R   E     ⁡     (   τ   )       +       R   F     ⁡     (   τ   )         )         ,     1   ≤   α   ≤   4             (   6   )             
 
where R i (τ) is the autocorrelation function of sequence C i , 1≦i≦8.
 
     The addition of the four autocorrelation functions is illustrated in  FIG. 13B , which is the same as  FIG. 13B  except that the maximum value is doubled to 4*L or −4*L (the maximum values being 64 and −64 for the preferred embodiment) since (R E (τ)+R F (τ)+R G (τ)+R H (τ))=2(R E (τ)+R F (τ)) by equations (5) and (6). This property allows the double-checking of the frame synchronization timing and the reduction of the synchronization search time. 
     First Embodiment for Uplink DPCCH 
       FIGS. 14A and 14B  are tables illustrating the pilot patterns in accordance with a preferred embodiment of the present invention for uplink DPCCH with N pilot =5, 6, 7, and 8. The shaded pattern of  FIGS. 14A and 14B  are used for frame synchronization (which can also be used for channel estimation), and the pilot bit other than the frame synchronization words (e.g., channel estimation) has a value of 1.  FIG. 14C  is a table illustrating the mapping relationship between the 8 synchronization words C 1 -C 8  of FIG.  12 A and shaded pilot bit patterns of  FIGS. 14A and 14B , where frame synchronization words C 1 , C 2 , C 3 , and C 4  are the elements of the set {E, F, G, and H}, respectively. The results of  FIGS. 13A and 13B  are obtained by α=1 and 2 in equation (6), respectively, which allows a double-check of the frame synchronization timing and a reduction of the synchronization time on uplink DPCCH with N pilot =5, 6, 7, and 8. 
     For example, the frame synchronization words at bit # 1  (C 1 ), at bit # 2  (C 2 ), at bit # 4  (C 3 ) and at bit # 5  (C 4 ) are used in the autocorrelation process for the frame synchronization when N pilot =6. For N pilot =8, the frame synchronization words at bit # 1  (C 1 ), at bit # 3  (C 2 ), at bit # 5  (C 3 ) and at bit # 7  (C 4 ) are used in the autocorrelation process for the frame synchronization. For N pilot =5, 6, 7, and 8 in each slot, a total of four frame synchronization words are used. As a result, since one radio frame has sixteen timeslots, the number of pilot bits used for the frame synchronization is only 64 per frame in the preferred embodiment. As can be appreciated, the number of words used for frame synchronization can vary depending on variations of N pilot . For example, when N pilot =1, one of the frame synchronization words C 1 -C 8  can be used for both frame synchronization and channel estimation due to the novel feature of the preferred embodiment. 
     With the implementation of the novel pilot patterns, the values for the number of bits per field are shown below in Table 1 and Table 2, with reference to FIG.  4 . The channel bit and symbol rates given in Table 1 are the rates immediately before spreading. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 DPDCH fields 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Channel 
                 Channel 
                   
                   
                   
                   
               
               
                   
                 Bit Rate 
                 Symbol Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                   
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N data   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 16 
                 16 
                 256 
                 160 
                 10 
                 10 
               
               
                   
                 32 
                 32 
                 128 
                 320 
                 20 
                 20 
               
               
                   
                 64 
                 64 
                 64 
                 640 
                 40 
                 40 
               
               
                   
                 128 
                 128 
                 32 
                 1280 
                 80 
                 80 
               
               
                   
                 256 
                 256 
                 16 
                 2560 
                 160 
                 160 
               
               
                   
                 512 
                 512 
                 8 
                 5120 
                 320 
                 320 
               
               
                   
                 1024 
                 1024 
                 4 
                 10240 
                 640 
                 640 
               
               
                   
                   
               
            
           
         
       
     
     There are two types of Uplink Dedicated Physical Channels; those that include TFCI(e.g. for several simultaneous services) and those that do not include TFCI(e.g. for fixed-rate services). These types are reflected by the duplicated rows of Table 2. The channel bit and symbol rates given in Table 2 are the rates immediately before spreading. 
     
       
         
           
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                 DPCCH fields 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
               
               
                 Rate 
                 Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N pilot   
                 N TPC   
                 N TFCI   
                 N FBI   
               
               
                   
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 6 
                 2 
                 2 
                 0 
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 8 
                 2 
                 0 
                 0 
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 5 
                 2 
                 2 
                 1 
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 7 
                 2 
                 0 
                 1 
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 6 
                 2 
                 0 
                 2 
               
               
                 16 
                 16 
                 256 
                 160 
                 10 
                 5 
                 1 
                 2 
                 2 
               
               
                   
               
            
           
         
       
     
       FIG. 14D  illustrates a correlation circuit for frame synchronization based on pilot bits of the uplink DPCCH in accordance with a preferred embodiment of the present invention when frame synchronization words C 1 -C 4  are used. The frame synchronization words C 1 -C 4  are latched in latch circuits  31 - 34 , respectively. The correlators  41 - 44  perform correlation function R(x), where x=0 to L−1, of the frame synchronization words C 1 -C 4 , respectively, to generate the correlation results A 1 -A 4 , which are stored in buffers  51 - 53 . 
       FIG. 14E  is a table illustrating the correlation results at points A 1 -A 4 , and the summing of the correlation results at point B. As shown, the result has maximum values of opposite polarity at zero and middle time shifts R( 0 ) and R( 8 ). Further, the remaining sidelobes at time shifts other than zero and middle have values of zero after the addition at point B. The sidelobes are eliminated or minimized, and the results at point B correspond to the optimal results of FIG.  13 B. 
       FIG. 14F  is a table illustrating various results of the addition of correlation results of points A 1 -A 4  based on the uplink pilot patterns of the frame synchronization words C 1 -C 4  in accordance with the preferred embodiment of the present invention. The respective addition of the autocorrelation results of points (A 1 +A 2 ), (A 3 +A 4 ), (A 1 +A 4 ) and (A 2 +A 3 ) exhibit the same characteristics of the optimal results illustrated in FIG.  13 A. 
       FIG. 14G  illustrates a correlator circuit for frame synchronization based on pilot bit sequences of an uplink DPCCH in accordance with an alternative embodiment. The elements are the same as the correlator circuit of FIG.  14 D. The frame synchronization words of (C 1  and C 2 ), (C 2  and C 3 ), (C 3  and C 4 ), or (C 4  and C 1 ) are correlated and summed to provide the results at point D. The summation result at point D of  FIG. 14G  is similar to the correlator circuit of  FIG. 14D  other than the maximum values of opposite polarity being 2*L (32) and −2*L (−32), rather than 4*L (64) and −4*L (−64), respectively, corresponding to the results of FIG.  14 F and optimal results of FIG.  13 A. 
       FIG. 14H  illustrates the receiver circuit  60  of a base station or a user equipment to recover the received spread signal including the frame synchronization words in the pilot field. After despreading the received spread signal by the despreading circuit  61 , the channel estimator and frame synchronizer  62  performs the channel estimation and the frame synchronization based on the pilot field. The Rake combiner  63  uses the results of the channel estimator and frame synchronizer, and after rake combining, the data is deinterleaved by the deinterleaving circuit  64  in the reverse order of the transmitter side. Thereafter, the data is recovered after decoding by a decoder  65 . 
     The advantages of the present invention can be readily discerned based on comparison of the frame synchronization words previously recommended in TS S1.11 v1.1.0 specification and the frame synchronization words for, e.g., N pilot =6. Applying the same principle of equations (1)-(6) and the correlator circuit of  FIG. 14D , the results in  FIG. 14I  are obtained for the pilot pattern indicated in the technical specification. When the summation result at point B is mapped on a time shift graph, the problem of sidelobes is readily apparent, as shown in FIG.  14 J. In other words, there is no maximum peak values of opposite polarity at zero and middle time shifts, and sidelobes are present at time shifts other than zero and middle. 
     As described in the background art, obtaining good cross-correlation and autocorrelation simultaneous is difficult to achieve, where cross-correlation relates to different words at different time shifts and autocorrelation relates to same sequences which are time shifted version. The good cross-correlation and autocorrelation of the present invention is based on unique properties of the frame synchronization words. 
     The unique characteristics of the frame synchronization words in accordance with the preferred embodiment can be readily discerned in view of  FIGS. 12 ,  14 A and  14 B. As shown in frame synchronization words C 1 -C 8  of  FIG. 12 , each word has substantially the same number of 1 and 0. In other words, the number (b 1 ) of pilot bits of a frame synchronization words having a value of 1 minus the number (b 0 ) of pilot bits of the frame synchronization having a value of 0 is equal to zero or close to zero. In the preferred embodiment, when there are even number of slot numbers, there are the same number of pilot bits having a value of 1 and 0 in a single frame synchronization word such that b 1 −b 0  is zero. As can be appreciated, when there are an odd number of pilot bits in a single frame synchronization word, the result of b 1 −b 0  is plus or minus one, e.g., close to zero. 
     The second characteristic of the frame synchronization words can be discerned by an examination between a pair of adjacent frame synchronization words (shaded patterns of  FIGS. 14A and 14B  for N pilot =5, 6, and 7), or between a pair of adjacent frame synchronization word and channel estimation word (shaded and non-shaded patterns of  FIGS. 14A and 14B  for N pilot =5, 6, 7, and 8). Generally, the number (b 3 ) of bit values which are the same (0,0 and 1,1) between a pair of adjacent words (i.e., between two adjacent frame synchronization words, or between a frame synchronization word and a channel estimation word, which are adjacent) minus the number (b 4 ) of bit values which are different (1,0 or 0,1) between adjacent words (i.e., between two adjacent frame synchronization words, or between a frame synchronization word and a channel estimation word, which are adjacent) equals zero or a prescribed number close to zero. 
     In the preferred embodiment, the number (b 3 ) of pilot bit values which are the same between two adjacent words equals the number (b 4 ) of pilot bit value which are different between the two adjacent words, i.e., b 3 −b 4 =0. In the preferred embodiment, when the N pilot =5 between two synchronization words of C 1  at bit # 0  and C 2  at bit # 1 , there same number of pilot bit values which are the same (0,0 and 1,1) and pilot bit values which are different (1,0 and 0,1) from slot # 1  to slot # 16 , as shown in FIG.  14 A. Similarly, between a synchronization word C 2  at bit # 1  and a channel estimation word at bit # 2 , there same number of pilot bit values which are the same (0,0 and 1,1) and pilot bit values which are different (1,0 and 0,1) from slot # 1  to slot # 16 . The same applies between two adjacent words at bit # 2  and bit # 3 , and between two adjacent words at bit # 3  and bit # 4 . The above also applies to adjacent words of N pilot =6, 7 and 8. As can be appreciated, when an odd number of slots are used, the result of b 3 −b 4  equals plus or minus one, e.g., close to zero. 
     As a result of such a characteristic, cross-correlation between two adjacent words used for frame synchronization is zero (orthogonal) at zero time shift. Further, the cross-correlation between a word used for frame synchronization and the sequence used for channel estimation is zero (orthogonal) at all time shifts. In other word, within N pilot  number of words of L-bits, there are an even number of words used for frame synchronization, but all words perform channel estimation, wherein between adjacent words used for frame synchronization, there is substantially zero cross-correlation. Moreover, the words used for frame synchronization has substantially zero cross-correlation with words not used for frame synchronization, i.e., channel estimation, at any time shifts. 
     Further, each N pilot  words corresponds to a prescribed number by an autocorrelation function such that when a pair from a set of autocorrelated results corresponding to words used for frame synchronization is combined, two peak values equal in magnitude and opposite in polarity are achieved at zero and middle time shift while sidelobes are substantially eliminated at time shifts other than zero and middle. Autocorrelation in accordance with the present invention can be generally defined as a correlation between a word and its time shifted replica (including replica at zero time shift), where correlation is the number of bit values which are the same between two words minus the number of bit values which are different between the same two words. Further, as shown in  FIG. 12B , R 1  and R 2  are complements of each other. 
     First Embodiment for Downlink DPCH 
       FIG. 15A  illustrates the pilot symbol patterns for downlink DPCH for N pilot =4, 8 and 16, where two pilot bits form a symbol since the left bit is used for the I channel branch and the right bit is used for the Q channel branch. In the preferred embodiment, N pilot =4 can be used for 8 ksps (kilo symbols per second); N pilot =8 can be used for 16, 32, 64, and 128 ksps; and N pilot =16 can be used for 256, 512, and 1024 ksps. The shaded symbols of  FIG. 15A  can be used for frame synchronization, and the value of pilot symbol other than for frame synchronization word, e.g., channel estimation (channel estimation word), is 11. The results of  FIG. 15A  is obtained by allowing α=1 for N pilot =4, α=2 for N pilot =8, and α=4 for N pilot =16 in equation (6) for downlink DPCH. 
       FIG. 15B  illustrates the mapping relationship between the 8 frame synchronization words of  FIG. 12A , and shaded pilot symbol pattern of FIG.  15 A. For example, in the preferred embodiment of N pilot =4, the symbol # 1  includes two frame synchronization words of C 1  (for the I channel branch I-CH, i.e., left sequence of bits from slot # 1  to slot # 16 ) and C 2  (for the Q channel branch Q-CH, i.e., right sequence of bits from slot # 1  to slot # 16 ). For N pilot =8 and N pilot =16, the correspondence of words to channels for corresponding symbols is self-explanatory in FIG.  15 B. Similar to the uplink DPCCH, slot-by-slot double-check of the frame synchronization timing and a reduction of the frame synchronization search time can be achieved by using the autocorrelation property of the pilot symbol pattern based on equation (6). 
     Because the frame synchronization words of the downlink DPCH is based on frame synchronization words of  FIG. 12A , the characteristics described for uplink DPCCH is applicable to downlink DPCH. For example, the number (b 3 ) of bit values which are the same (0,0 and 1,1) between adjacent words (i.e., between synchronization word of I channel branch and synchronization word of Q channel branch of a frame synchronization symbol, or between a channel estimation word of the Q channel branch and a frame synchronization word of the I channel branch, which are adjacent, or between a frame synchronization word of the Q channel branch and a channel estimation word of the I channel branch, which are adjacent) minus the number (b 4 ) of bit values which are different (1,0 and 0,1) between adjacent words (i.e., between synchronization word of I channel branch and synchronization word of Q channel branch of a frame synchronization symbol, or between a channel estimation word of the Q channel branch and a frame synchronization word of the I channel branch, which are adjacent, or between a frame synchronization word of the Q channel branch and a channel estimation word of the I channel branch, which are adjacent) equals zero or a prescribed number close to zero. 
     For example, for N pilot =8, between the symbols # 0  and # 1 , the number of a pair of adjacent bits, i.e., one bit from the Q channel branch of the symbol # 0  and one bit from the I channel branch of the symbol # 1 , having bit values of 1,1 and 0,0 is the same as the number of adjacent bits having bit values of 1,0 and 0,1. In other words, b 3 −b 4 =0. As can be appreciated, if the number of slots L is an odd number, the result of b 3 −b 4  is plus or minus one, e.g., a prescribed number close to zero. 
     With the implementation of the novel pilot symbols, the below Table 3 shows the number of bits per slot of the various fields with reference to FIG.  8 . There are basically two types of downlink Dedicated Physical Channel; those that include TFCI (e.g. for several simultaneous services) and those that do not include TFCI(e.g. for fixed-rate services). These types are reflected by the duplicated rows of Table 3. The channel bit and symbol rates given in Table 3 are the rates immediately before spreading. If there is no TFCI, then the TFCI field is left blank (*). 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 DPDCH and DPCCH fields 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
                   
                   
                   
                 DPDCH 
                 DPCCH 
               
               
                 Rate 
                 Rate 
                   
                 Bits/Frame 
                 Bits/ 
                 Bits/Slot 
                 Bits/Slot 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                 (kbps) 
                 (ksps) 
                 SF 
                 DPDCH 
                 DPCCH 
                 TOT 
                 Slot 
                 N Data1   
                 N Data2   
                 N TFCI   
                 N TPC   
                 N Pilot   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                 16 
                 8 
                 512 
                 64 
                 96 
                 160 
                 10 
                 2 
                 2 
                 0 
                 2 
                 4 
               
               
                 16 
                 8 
                 512 
                 32 
                 128 
                 160 
                 10 
                 0 
                 2 
                 2 
                 2 
                 4 
               
               
                 32 
                 16 
                 256 
                 160 
                 160 
                 320 
                 20 
                 2 
                 8 
                 0 
                 2 
                 8 
               
               
                 32 
                 16 
                 256 
                 128 
                 192 
                 320 
                 20 
                 0 
                 8 
                 2 
                 2 
                 8 
               
               
                 64 
                 32 
                 128 
                 480 
                 160 
                 640 
                 40 
                 6 
                 24 
                 0 
                 2 
                 8 
               
               
                 64 
                 32 
                 128 
                 448 
                 192 
                 640 
                 40 
                 4 
                 24 
                 2 
                 2 
                 8 
               
               
                 128 
                 64 
                 64 
                 960 
                 320 
                 1280 
                 80 
                 4 
                 56 
                  8* 
                 4 
                 8 
               
               
                 256 
                 128 
                 32 
                 2240 
                 320 
                 2560 
                 160 
                 20 
                 120 
                  8* 
                 4 
                 8 
               
               
                 512 
                 256 
                 16 
                 4608 
                 512 
                 5120 
                 320 
                 48 
                 240 
                  8* 
                 8 
                 16 
               
               
                 1024 
                 512 
                 8 
                 9728 
                 512 
                 10240 
                 640 
                 112 
                 496 
                  8* 
                 8 
                 16 
               
               
                 2048 
                 1024 
                 4 
                 19968 
                 512 
                 20480 
                 1280 
                 240 
                 1008 
                  8* 
                 8 
                 16 
               
               
                   
               
            
           
         
       
     
       FIG. 15C  illustrates a correlation circuit for frame synchronization for downlink DPCCH of N pilot =8 in accordance with the preferred embodiment. The operation and components are the same as the correlation circuit of  FIG. 14D  for uplink DPCCH, except for the reception of I channel branch and Q channel branch synchronization words. The results of points A 1 -A 4  and point B is the same as FIG.  14 E. Similarly, the sidelobes are eliminated or minimized, and the results correspond to the optimal results of FIG.  13 B. Because the number of pilot symbols (or pilot bits) used for the frame synchronization is 2 symbols per slot (or 4 bit per slot), 32 pilot symbols (or 64 pilot bits) are used in each radio frame for the frame synchronization. 
     For N pilot =4 in the downlink DPCCH, the correlator circuit of  FIG. 14G  can be used. In such a case, the I and Q channel frame synchronization words are inputted to the correlator circuit. The summation result would be the same as  FIG. 14F , which corresponds to the optimal results of FIG.  13 A. In this case, the number of pilot symbols (or pilot bits) used for the frame synchronization is 1 symbol per slot (or 2 bits per slot), and 16 symbols (or 32 pilot bits) are used in each radio frame for the frame synchronization. 
     As per N pilot =16 in the downlink DPCCH, the correlation circuit of  FIG. 15C  can be expanded to accommodate the additional frame synchronization words of the I and Q channel branches of pilot symbol # 5  and symbol # 7 . The summation result would be similar to the optimal results of  FIG. 13B , but the maximum peak values of opposite polarity would be 128 (8*L) and −128 (−8*L). Further, the number of pilot symbols (or pilot bits) used for the frame synchronization is 4 symbols per slot (or 8 bits per slot), and 64 pilot symbols (or 128 pilot bits) are used in each radio frame for the frame synchronization. 
     First Embodiment of Downlink PCCPCH and SCCPCH 
       FIG. 16A  illustrates pilot symbol pattern of PCCPCH. The shaded symbols can be used for frame synchronization, and the value of pilot symbol other than for frame synchronization is 11.  FIG. 16B  illustrates the mapping relationship between the synchronization words C 1 -C 8  of  FIG. 12A , and the shaded pilot symbol patterns of  FIG. 16A. A  double-check frame of the synchronization timing and the reduction of the synchronization search time can be achieved with α=1 or 2 in equation (6). 
       FIG. 16C  illustrates pilot symbol pattern of SCCPCH. The shaded symbols can be used for frame synchronization, and the value of pilot symbol other than for frame synchronization is 11.  FIG. 16D  illustrates the mapping relationship between the synchronization words C 1 -C 8  of  FIG. 12A , and the shaded pilot symbol patterns of FIG.  16 C. 
     As shown above, the frame synchronization words of PCCPCH and SCCPCH is based on the frame synchronization words C 1 -C 8 , and the disclosure for the uplink DPCCH and the downlink DPCH is applicable. Hence, a detailed description regarding the various characteristics including cross-correlation and autocorrelation, operations and implements are omitted since one of ordinary skill in the art can readily appreciate the present invention based on the uplink DPCCH and downlink DPCH. 
     As described above, the non-shaded symbols are the pilot symbols not used for frame synchronization comprises symbols of 11, and the shaded symbols are used for frame synchronization. The frame synchronization words of the pilot pattern are used for frame synchronization confirmation, and the summation of autocorrelated values for each frame synchronization words is required. The property of summation of autocorrelated values of frame synchronization words is very important. 
     With the implementation of the novel pilot symbols, the values for the number of bits per field are given in Table 4 with reference to FIG.  11 B. The channel bit and symbol rates given in Table 4 are the rates immediately before spreading. 
     
       
         
           
               
             
               
                 TABLE 4 
               
             
            
               
                   
               
               
                 Secondary CCPCH fields 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
               
               
                 Rate 
                 Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N data   
                 N pilot   
                 N TFCI   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 32 
                 16 
                 256 
                 320 
                 20 
                 12 
                 8 
                 0 
               
               
                 32 
                 16 
                 256 
                 320 
                 20 
                 10 
                 8 
                 2 
               
               
                 64 
                 32 
                 128 
                 640 
                 40 
                 32 
                 8 
                 0 
               
               
                 64 
                 32 
                 128 
                 640 
                 40 
                 30 
                 8 
                 2 
               
               
                 128 
                 64 
                 64 
                 1280 
                 80 
                 72 
                 8 
                 0 
               
               
                 128 
                 64 
                 64 
                 1280 
                 80 
                 64 
                 8 
                 8 
               
               
                 256 
                 128 
                 32 
                 2560 
                 160 
                 152 
                 8 
                 0 
               
               
                 256 
                 128 
                 32 
                 2560 
                 160 
                 144 
                 8 
                 8 
               
               
                 512 
                 256 
                 16 
                 5120 
                 320 
                 304 
                 16 
                 0 
               
               
                 512 
                 256 
                 16 
                 5120 
                 320 
                 296 
                 16 
                 8 
               
               
                 1024 
                 512 
                 8 
                 10240 
                 640 
                 624 
                 16 
                 0 
               
               
                 1024 
                 512 
                 8 
                 10240 
                 640 
                 616 
                 16 
                 8 
               
               
                 2048 
                 1024 
                 4 
                 20480 
                 1280 
                 1264 
                 16 
                 0 
               
               
                 2048 
                 1024 
                 4 
                 20480 
                 1280 
                 1256 
                 16 
                 8 
               
               
                   
               
            
           
         
       
     
     The addition of autocorrelation functions of frame synchronization word of the preferred embodiment and current pilot patterns (described in TS S1.11 v1.1.0 specification) for DPCHs and PCCPCH are depicted in  FIG. 17A  (N pilot =4),  FIG. 17B  (N pilot =8) and  FIG. 17C  (N pilot =16). As shown, the current pilot patterns have non-zero out-of-phase autocorrelation function with peak value at zero shift, whereas the frame synchronization words of the preferred embodiment have zero out-of-phase autocorrelation function with two peak values equal in magnitude and opposite in polarity at zero and middle time shifts (delays). 
     Correlation to a prescribed frame synchronization word is optimum method for frame synchronization. Since the frame synchronization word of pilot pattern is used for frame synchronization confirmation, the following events and parameters are used to evaluate the performance of frame synchronization confirmation using the frame synchronization words of the preferred embodiment and the current pilot patterns:
     H 1 : The event that the correlator output exceeds the predetermined threshold when the code phase offset between the received shadowed column frame synchronization word and its corresponding receiver stored frame synchronization word is zero.   H 2 : The event that the correlator output exceeds the predetermined threshold when the code phase offset between the received shadowed column frame synchronization word and its corresponding receiver stored frame synchronization word is not zero.   H 3 : One event of H 1  and no event of H 2  for one frame.   H 4 : The event that the correlator output exceeds the predetermined threshold or is smaller than −1×(predetermined threshold) when the code phase offset between the received shadowed column frame synchronization word and its corresponding receiver stored frame synchronization word is 0 or 8, respectively.   H 5 : The event that the correlator output exceeds the predetermined threshold or is smaller than −1×(predetermined threshold) when the code phase offset between the received shadowed column frame synchronization word and its corresponding receiver stored frame synchronization word is not 0 and 8.   H 6 : One event of H 4  and no event of H 5  for one frame.   P D : Probability of a detection.   P FA : Probability of a false alarm.   P S : Probability of a frame synchronization confirmation success for one frame.   

     From the above definitions, when the current pilot pattern is used for frame synchronization confirmation, the probability of a detection and a false alarm can be expressed as:
 
 P   D =Prob( H   1 )  (7)
 
 P   FA =Prob( H   2 )  (8)
 
     The probability of a frame synchronization confirmation success for one frame becomes P S =Prob(H 3 ) and it can be expressed as 
       P   S   =P   D (1 −P   FA ) 15   (9) 
     Whereas in the case of the frame synchronization words of the preferred embodiment, as has been stated, double thresholds are needed for double-check frame synchronization, and the probability of a detection and a false alarm can be expressed as:
 
 P   D =Prob( H   4 )  (10)
 
 P   FA =Prob( H   5 )  (11)
 
     Similarly, in the case of frame synchronization words of the preferred embodiment, the probability of a frame confirmation success for one frame becomes P S =Prob(H 6 ) and it is given by
 
 P   S   =P   D (1 −P   FA ) 14   (12)
 
     From equations (9) and (12), the probability of a frame synchronization confirmation is greatly affected by the probability of a false alarm since P S  is proportional to P D  and (1−P FA ) 14  or (1−P FA ) 15 . For example, assume that P FA =10 −1 , then (1−P FA ) 14 =0.2288 and (1−P FA ) 15 =0.2059. Now let P FA =10 −3 , then (1−P FA ) 14 =0.9861 and (1−P FA ) 15 =0.9851. The performance of frame synchronization can be sufficiently evaluated by selecting the threshold so that the P FA  is much smaller than (1−P D ). 
     The parameters of  FIG. 18A  are used for obtaining P D , P FA , and P S  on uplink DPCCH and downlink DPCH over additive white Gaussian noise (AWGN).  FIG. 18B  illustrates the probability of detection P D  on downlink DPCCH with N pilot =4 over AWGN channel,  FIG. 18C  illustrates the probability of false alarm P FA  on downlink DPCCH with N pilot =4 over AWGN channel, and  FIG. 18D  illustrates the probability of a frame synchronization confirmation success P S  on downlink DPCCH with N pilot =4 over AWGN between the pilot pattern of the preferred embodiment and the current pilot pattern, where P D , P FA , and P S  are given as a function of E b /N 0  ratio E b =energy per bit, N 0 =noise power spectral density). 
     The P D  and P S  of the pilot patterns of the preferred embodiment are greater than that of current pilot pattern. Furthermore, the P FA  of the pilot patterns in accordance with the preferred embodiment are also smaller than that of the current pilot patterns. The theoretical equations (9) and (12) are identical to simulation results of FIG.  18 D. Therefore, there is significant difference between the frame synchronization performance of pilot patterns of the preferred embodiment and that of current pilot pattern. For example, from  FIG. 18D , there is 3 dB gain at P S =0.93 by employing the pilot patterns of the preferred embodiment. 
     The frame synchronization words of the preferred embodiment are especially suitable for frame synchronization confirmation. By adding the autocorrelation functions of shaded frame synchronization words, double maximum values equal in magnitude and opposite polarity at zero and middle shifts are obtained. This property can be used to slot-by-slot and double-check frame synchronization timing and reduce the synchronization search time. The performance of frame synchronization confirmation over AWGN using pilot pattern illustrate the significant differences between the frame synchronization performance of the pilot pattern of the preferred embodiment and the current pilot pattern. 
     First Embodiment of Downlink DPCH, PCCPCH and SCCPH for STTD Diversity 
       FIG. 19A  illustrates new pilot symbol patterns of Downlink DPCH for the diversity antenna using a space time block coding based transmit diversity (STTD). For the diversity pilot symbol pattern on downlink DPCH, STTD is applied to the shaded pilot symbols # 1  and # 3  for N pilot =8, and the shaded pilot symbols # 1 , # 3 , # 5 , and # 7  for N pilot =16. The non-shaded pilot symbols # 0  and # 2  for N pilot =8, and non-shaded pilot symbols # 0 , # 2 , # 4 , and # 6  for N pilot =16 are encoded to be orthogonal to the pilot symbol of FIG.  15 A. However, the diversity pilot pattern for downlink DPCH with N pilot =4 are STTD encoded since STTD encoding requires two symbols.  FIG. 19B  illustrates the mapping relationship between the 8 words C 1 -C 8  of FIG.  12 A and shaded pilot symbol patterns of FIG.  19 A. 
       FIG. 19C  illustrates the new diversity antenna pilot symbol pattern for PCCPCH. The pilot symbols of  FIG. 19C  are encoded to be orthogonal to the pilot symbols of FIG.  16 A.  FIG. 19D  illustrates the mapping relationship between the words C 1 -C 8  of FIG.  12 A and shadowed pilot symbol patterns of FIG.  19 C. 
       FIG. 19E  illustrates the new pilot symbol pattern for the diversity antenna when STTD encoding is used on the SCCPCH. For the diversity pilot symbol pattern on SCCPCH, STTD is applied to the shaded pilot symbols # 1 , and # 3  of N pilot =8, and shaded pilot symbols # 1 , # 3 , # 5  and # 7  of N pilot =16 in  FIG. 19E , whereas the non-shaded pilot symbols # 0  and # 2  of N pilot =8, and non-shaded # 0 , # 2 , # 4 , # 6  of N pilot =16 are encoded to be orthogonal to those of FIG.  16 C.  FIG. 19F  illustrates the mapping relationship between the words C 1 -C 8  of FIG.  12 A and shaded pilot symbol patterns of FIG.  19 E. 
     Since the above is based on words C 1 -C 8 , the previous discussion regarding the uplink DPCCH and downlink DPCH, PCCPCH and SCCPH is readily applicable. One of ordinary skill in the art can readily appreciate the features for downlink using diversity antenna based on previous disclosure, and a detailed disclosure is omitted. 
     Alternative Embodiments for Uplink DPCCH and Downlink DPCH and PCCPCH 
       FIG. 20A  is a table illustrating frame synchronization words C 1 -C 16  (i=16) and autocorrelated function in accordance with another preferred embodiment of the present invention. The frame synchronization words C 1 -C 16  can be classified into the PCSP of the first embodiment, as follows:
 E={C 1 , C 3 , C 9 , C 11 } F={C 2 , C 4 , C 10 , C 12 } 
 G={C 5 , C 7 , C 13 , C 15 }
 H={C 6 , C 8 , C 14 , C 16 } 
     The classification of the alternative frame synchronization words C 1 -C 16  are also applicable to equations (1)-(6), and have the same properties and characteristics of the first embodiment.  FIG. 20B  is a table illustrating the autocorrelation function of the pilot bits of each frame synchronization word classified in the PCSP. In this particular case, each class contains four sequences and the sequences of the same class have the same autocorrelation function. 
       FIG. 20C  illustrates the pilot bit pattern of uplink DPCCH with N pilot =6 and 8 and  FIG. 20D  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of FIG.  20 C.  FIGS. 20E and 20F  illustrate the pilot symbol pattern of downlink DPCH with 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096 ksps, and  FIG. 20G  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of  FIGS. 20E and 20F .  FIG. 20H  illustrates the pilot symbol pattern of downlink PCCPCH and  FIG. 20I  illustrates a mapping relationship between the alternative frame synchronization words C 1 -C 16  of FIG.  20 A and the shaded frame synchronization words of FIG.  20 H. 
     Since the above is based on alternative words C 1 -C 16 , which have the same features as the words C 1 -C 8  of the first embodiment, the previous discussion regarding the uplink DPCCH and downlink DPCH, PCCPCH and SCCPH of the first embodiment is readily applicable. One of ordinary skill in the art can readily appreciate the features of this embodiment based on previous disclosure, and a detailed disclosure is omitted. 
     The frame synchronization words of the preferred embodiment are especially suitable for frame synchronization confirmation. By adding the autocorrelation functions of shaded frame synchronization words, double maximum values equal in magnitude and Ad opposite polarity at zero and middle shifts are obtained. This property can be used to slot-by-slot and double-check frame synchronization timing and reduce the synchronization search time. Further the present invention allows a simpler construction of the correlator circuit for a receiver, thereby reducing the complexity of the receiver. Moreover, the present invention allows accurate establishment of the frame synchronization. Due to various advantages of the present invention, the first preferred embodiment has been accepted by the 3GPP, as shown in TS 25.211 v2.0.1, distributed June 1999, whose entire disclosure is hereby incorporated by reference therein. 
     Preferred Embodiment for L=15 
     The above pilot patterns in accordance with preferred embodiments of the present invention have various advantages including frame synchronization confirmation. In the above preferred embodiments, the physical channel of the up-link or down-link has a chip ratio of 4.096 Mcps, which results from the use of a pilot pattern based on a length of 16 slots for the frame synchronization. In other words, the chip ratio is based on a slot length of 2 n . However, if the chip ratio changes from 4.096 Mcps to 3.84 Mcps, alternative pilot patterns are needed since one radio frame is based on a slot length of 15 slots. Hence, alternative pilot patterns are needed for 15 slots (L=15) due to OHG harmonization. 
       FIG. 21  illustrates a preferred embodiment for the new frame synchronization words C 1 -C i-th , which has the auto-correlation function of lowest out-of-phase coefficient and the lowest magnitude of cross-correlation function with minus peak value at middle shift, where i=8. The frame synchronization words are used to design the regular pilot patterns and diversity antenna pilot patterns of uplink DPCH, and downlink DPCH and SCCPCH of the preferred embodiment. By using the two correlation functions, it is possible to double check frame synchronization at zero and middle shifts. When performance evaluation of single-check and double-check frame synchronization confirmation is carried out over AWGN environment, the words C 1 -C 8  of  FIG. 21  are suitable for frame synchronization confirmation. 
     The frame synchronization words C 1 -C 8  have the following two-valued auto-correlation function: 
                 R   i     ⁡     (   τ   )       =     {             15   ,           τ   =   0                 -   1     ,           τ   ≠   0           ,     i   =   1     ,   2   ,   …   ⁢           ,   8               (   13   )             
 
where R i (τ) is the auto-correlation function of frame synchronization word C i . Similar to L=16, the words of  FIG. 21  can be divided into 4 classes, as follows:
 
E={C 1 , C 2 }
 
F={C 3 , C 4 }
 
G={C 5 , C 6 }
 
H={C 7 , C 8 }
 
The two words within the same class are PCSP. The cross-correlation spectrum for the preferred pair {C 1 , C 2 }, {C 3 , C 4 }, {C 5 , C 6 }, or {C 7 , C 8 } is 
                 R     i   ,   j       ⁡     (   τ   )       =     {             -   15     ,           τ   =   7               1   ,           τ   ≠   7                     (   14   )                   R     j   ,   i       ⁡     (     τ   +   1     )       =     {             -   15     ,           τ   =   7               1   ,           τ   ≠   7                     (   15   )             
 
where R i,j (τ)is cross-correlation function between two words of preferred pair of E, F, G, H, and i, j=1, 2, 3, . . . , 8. By combining such auto-correlation and cross-correlation functions, the following equations (16) and (17) are obtained: 
                 ∑     i   =   1     α     ⁢           ⁢       R   i     ⁡     (   τ   )         =     {               α   ·   15     ,           τ   =   0                 -   α     ,           τ   ≠   0           ,     α   =   1     ,   2   ,   3   ,   …   ,   8               (   16   )                   ∑     i   =   1       α   /   2       ⁢           ⁢     (         R         2   ⁢   i     -   1     ,     2   ⁢   i         ⁡     (   τ   )       +       R       2   ⁢   i     ,       2   ⁢   i     -   1         ⁡     (     τ   +   1     )         )       =     {                 -   α     ·   15     ,           τ   =   7               α   ,           τ   ≠   7           ,     α   =   2     ,   4   ,   6   ,   8               (   17   )             
 
     From equations (16) and (17), when α=2,  FIG. 22A  illustrates the addition of two auto-correlation functions, and  FIG. 22B  illustrates the addition of two cross-correlation functions between the two frame synchronization words within the same class. Similarly, from equations (16) and (17), when α=4,  FIG. 22C  illustrates the addition of four auto-correlation functions, and  FIG. 22D  illustrates the addition of four cross-correlation functions between the four frame synchronization words of two classes E and F. 
     Since the auto-correlation function of the frame synchronization words C 1 -C 8  in accordance with this preferred embodiment has the lowest out-of-phase coefficient, single-check frame synchronization confirmation is feasible by applying the positive threshold value at (a) of the autocorrelation function output of FIG.  22 C. Furthermore, double-check frame synchronization confirmation is also achieved by setting the negative threshold value at (b) of the cross-correlation function output of FIG.  22 D. 
       FIG. 23A  illustrates the pilot bit patterns on uplink DPCCH with N pilot =2, 3, and 4, and  FIG. 23C  illustrates the pilot bit patterns on uplink DPCCH with N pilot =2,3, and 4 in accordance with an alternative embodiment compared to FIG.  23 A. Further,  FIGS. 23E and 23F  illustrate the pilot bit patterns on uplink DPCCH with N pilot =5, 6, 7, and 8. The shaded parts of  FIGS. 23A ,  23 C,  23 E and  23 F can be used for frame synchronization words, and the value of pilot bit other than the frame synchronization word is 1.  FIGS. 23B and 23D  illustrate the mapping relationship between the frame synchronization words of  FIG. 21 , and shaded frame synchronization words of  FIGS. 23A and 23D , respectively. Further,  FIG. 23G  illustrates the mapping relationship between the frame synchronization words of  FIG. 21 , and the shaded frame synchronization words of  FIGS. 23E and 23F . 
     The various description of above for uplink DPCCH when L=16 is readily applicable to this preferred embodiment when L=15, including the correlator circuits (with some modifications) and the generally characteristics. For example, as shown in frame synchronization words C 1 -C 8  of  FIG. 21 , each word has substantially the same number of 1 and 0. In this preferred embodiment, the result of b 1 −b 0  is plus or minus one, e.g., close to zero. Further, when the number of slots is 15, i.e., odd, the result of b 3 −b 4  equals plus or minus one, e.g., close to zero. Further, since two frame synchronization words are used for N pilot =2, 3, and 4 and there are fifteen timeslots in a radio frame, the number of pilot bits used for synchronization is 30 per frame. For N pilot =5, 6, 7 and 8, since four synchronization words are used for fifteen timeslots in a radio frame, the number of pilot bits used for synchronization is 60 per frame. Moreover, the result of the addition of two or four auto-correlation functions and cross-correlation functions between two or four frame synchronization words corresponds to  FIGS. 22A-22D . 
     With the implementation of the novel pilot patterns, the values for the number of bits per field are shown below in Table 5 and Table 6 with reference to FIG.  4 . The channel bit and symbol rates given in Table 5 are the rates immediately before spreading. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 DPDCH fields 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Channel 
                 Channel 
                   
                   
                   
                   
               
               
                   
                 Bit Rate 
                 Symbol Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                   
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N data   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 15 
                 15 
                 256 
                 150 
                 10 
                 10 
               
               
                   
                 30 
                 30 
                 128 
                 300 
                 20 
                 20 
               
               
                   
                 60 
                 60 
                 64 
                 600 
                 40 
                 40 
               
               
                   
                 120 
                 120 
                 32 
                 1200 
                 80 
                 80 
               
               
                   
                 240 
                 240 
                 16 
                 2400 
                 160 
                 160 
               
               
                   
                 480 
                 480 
                 8 
                 4800 
                 320 
                 320 
               
               
                   
                 960 
                 960 
                 4 
                 9600 
                 640 
                 640 
               
               
                   
                   
               
            
           
         
       
     
     There are two types of Uplink Dedicated Physical Channels; those that include TFCI(e.g. for several simultaneous services) and those that do not include TFCI(e.g. for fixed-rate services). These types are reflected by the duplicated rows of Table 6. The channel bit and symbol rates given in Table 6 are the rates immediately before spreading. 
     
       
         
           
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                 DPCCH fields 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
               
               
                 Rate 
                 Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N pilot   
                 N TPC   
                 N TFCI   
                 N FBI   
               
               
                   
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 6 
                 2 
                 2 
                 0 
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 8 
                 2 
                 0 
                 0 
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 5 
                 2 
                 2 
                 1 
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 7 
                 2 
                 0 
                 1 
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 6 
                 2 
                 0 
                 2 
               
               
                 15 
                 15 
                 256 
                 150 
                 10 
                 5 
                 1 
                 2 
                 2 
               
               
                   
               
            
           
         
       
     
     The Random Access Channel (RACH) is an uplink transport channel that is used to carry control information from the UE. The RACH may also carry short user packets. The RACH is always received from the entire cell.  FIG. 23H  illustrates the structure of random access channel. The 10 ms message is split into 15 slots, each of length T slot =2560 chips. Each slot has two parts, a data part that carries Layer 2 information and a control part that carries Layer 1 control information. The data and control parts are transmitted in parallel. 
     The data part includes 10*2 k  bits, where k=0,1,2,3. This corresponds to a spreading factor of 256, 128, 64, and 32 respectively for the message data part. The control part has 8 known pilot bits to support channel estimation for coherent detection and 2 bits of rate information. This corresponds to a spreading factor of 256 for the message control part. 
     With the implementation of the novel pilot patterns, the values for the number of bits per field are shown in Table 7 with reference to FIG.  23 H. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 Random-access message data fields. 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Channel 
                 Channel 
                   
                   
                   
                   
               
               
                   
                 Bit Rate 
                 Symbol Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                   
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N data   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 15 
                 15 
                 256 
                 150 
                 10 
                 10 
               
               
                   
                 30 
                 30 
                 128 
                 300 
                 20 
                 20 
               
               
                   
                 60 
                 60 
                 64 
                 600 
                 40 
                 40 
               
               
                   
                 120 
                 120 
                 32 
                 1200 
                 80 
                 80 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 23I  illustrates the random access message control fields and there is always 8 pilot symbols per slot for channel estimation. Due to the unique characteristics of the frame synchronization words in accordance with the preferred embodiment, the frame synchronization words C 1 -C 8  can be used in the pilot bit pattern of the RACH for channel estimation.  FIG. 23J  illustrates the pilot bit pattern of the RACH, and the mapping relationship is the same as the mapping relationship illustrated in  FIG. 23G  for N pilot =8. Due to the novel characteristics of the frame synchronization words C 1 -C 8 , which can also be used solely for channel estimation, it is easy to reuse the pilot patterns, which allows commonality between different uplink channels. 
       FIG. 24A  illustrates the pilot symbol patterns on downlink DPCH when N pilot =2, 4, 8, and 16. The shaded parts of  FIG. 24A  can be used for frame synchronization symbols, each symbol having one frame synchronization word for the I channel branch and another frame synchronization word for the Q channel branch, and the value of pilot symbol other than the frame synchronization word is 11.  FIG. 24B  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of FIG.  24 A. 
       FIG. 24C  illustrates the pilot symbol patterns of downlink DPCH for the diversity antenna using STTD. For the diversity pilot symbol pattern on downlink DPCH, STTD is applied to the shaded pilot symbols # 1  and # 3  for N pilot =8, and # 1 , # 3 , # 5 , and # 7  for N pilot =16. The non-shaded pilot symbols of # 0  and # 2  for N pilot =8 and  0 #, # 2 , # 4  and # 6  for N pilot =16 are encoded to be orthogonal to the pilot symbol of FIG.  24 A. However, the diversity pilot pattern for downlink DPCH with N pilot =4 are STTD encoded since STTD encoding requires two symbols. Since the STTD encoded pilot symbol pattern is orthogonal to ordinary pilot symbol pattern, the STTD encoded pilot pattern can also be used for antenna verification of feedback mode diversity.  FIG. 24D  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of FIG.  24 C. 
     With the implementation of the novel pilot patterns, the below Table 8 shows the number of bits per slot of the various fields with reference to FIG.  8 . There are basically two types of downlink Dedicated Physical Channel; those that include TFCI (e.g. for several simultaneous services) and those that do not include TFCI(e.g. for fixed-rate services). These types are reflected by the duplicated rows of Table 8. The channel bit and symbol rates given in Table 8 are the rates immediately before spreading. If there is no TFCI, then the TFCI field is left blank (*). 
     
       
         
           
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                 DPDCH and DPCCH fields 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
                   
                   
                   
                 DPDCH 
                 DPCCH 
               
               
                 Rate 
                 Rate 
                   
                 Bits/Frame 
                 Bits/ 
                 Bits/Slot 
                 Bits/Slot 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                 (kbps) 
                 (ksps) 
                 SF 
                 DPDCH 
                 DPCCH 
                 TOT 
                 Slot 
                 N Data1   
                 N Data2   
                 N TFCI   
                 N TPC   
                 N Pilot   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                 15 
                 7.5 
                 512 
                 60 
                 90 
                 150 
                 10 
                 2 
                 2 
                 0 
                 2 
                 4 
               
               
                 15 
                 7.5 
                 512 
                 30 
                 120 
                 150 
                 10 
                 0 
                 2 
                 2 
                 2 
                 4 
               
               
                 30 
                 15 
                 256 
                 150 
                 150 
                 300 
                 20 
                 2 
                 8 
                 0 
                 2 
                 8 
               
               
                 30 
                 15 
                 256 
                 120 
                 180 
                 300 
                 20 
                 0 
                 8 
                 2 
                 2 
                 8 
               
               
                 60 
                 30 
                 128 
                 450 
                 150 
                 600 
                 40 
                 6 
                 24 
                 0 
                 2 
                 8 
               
               
                 60 
                 30 
                 128 
                 420 
                 180 
                 600 
                 40 
                 4 
                 24 
                 2 
                 2 
                 8 
               
               
                 120 
                 60 
                 64 
                 900 
                 300 
                 1200 
                 80 
                 4 
                 56 
                  8* 
                 4 
                 8 
               
               
                 240 
                 120 
                 32 
                 2100 
                 300 
                 2400 
                 160 
                 20 
                 120 
                  8* 
                 4 
                 8 
               
               
                 480 
                 240 
                 16 
                 4320 
                 480 
                 4800 
                 320 
                 48 
                 240 
                  8* 
                 8 
                 16 
               
               
                 960 
                 480 
                 8 
                 9120 
                 480 
                 9600 
                 640 
                 112 
                 496 
                  8* 
                 8 
                 16 
               
               
                 1920 
                 960 
                 4 
                 18720 
                 480 
                 19200 
                 1280 
                 240 
                 1008 
                  8* 
                 8 
                 16 
               
               
                   
               
            
           
         
       
     
       FIG. 25A  illustrates the pilot symbol patterns for downlink SCCPCH for N pilot =8 and 16, and  FIG. 25B  illustrates the mapping relationship of the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of FIG.  25 A. Further,  FIG. 25C  illustrates the pilot symbol patterns of downlink SCCPCH for N pilot =8 and 16 for the diversity antenna using STTD, and  FIG. 25D  illustrates the mapping relationship between the frame synchronization words C 1 -C 8  of FIG.  21  and shaded pilot symbol patterns of FIG.  25 C. 
     With the implementation of the novel pilot patterns, the values for the number of bits per field are given in Table 9 with reference to FIG.  11 B. The channel bit and symbol rates given in Table 9 are the rates immediately before spreading. In the Secondary Common Control Physical Channel, it is possible to have burst transmission based on radio frame units. When burst transmission is performed, pilot symbols shall be added to the head of the burst. The number of symbols and the symbol pattern of the pilot symbols to be attached shall take the pattern of Slot # 15 . 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 Secondary CCPCH fields with pilot bits 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Channel 
                 Channel 
                   
                   
                   
                   
                   
                   
               
               
                 Bit 
                 Symbol 
               
               
                 Rate 
                 Rate 
                   
                 Bits/ 
                 Bits/ 
               
               
                 (kbps) 
                 (ksps) 
                 SF 
                 Frame 
                 Slot 
                 N data   
                 N pilot   
                 N TFCI   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 30 
                 15 
                 256 
                 300 
                 20 
                 12 
                 8 
                 0 
               
               
                 30 
                 15 
                 256 
                 300 
                 20 
                 10 
                 8 
                 2 
               
               
                 60 
                 30 
                 128 
                 600 
                 40 
                 32 
                 8 
                 0 
               
               
                 60 
                 30 
                 128 
                 600 
                 40 
                 30 
                 8 
                 2 
               
               
                 120 
                 60 
                 64 
                 1200 
                 80 
                 72 
                 8 
                 0 
               
               
                 120 
                 60 
                 64 
                 1200 
                 80 
                 64 
                 8 
                 8 
               
               
                 240 
                 120 
                 32 
                 2400 
                 160 
                 152 
                 8 
                 0 
               
               
                 240 
                 120 
                 32 
                 2400 
                 160 
                 144 
                 8 
                 8 
               
               
                 480 
                 240 
                 16 
                 4800 
                 320 
                 304 
                 16 
                 0 
               
               
                 480 
                 240 
                 16 
                 4800 
                 320 
                 296 
                 16 
                 8 
               
               
                 960 
                 480 
                 8 
                 9600 
                 640 
                 624 
                 16 
                 0 
               
               
                 960 
                 480 
                 8 
                 9600 
                 640 
                 616 
                 16 
                 8 
               
               
                 1920 
                 960 
                 4 
                 19200 
                 1280 
                 1264 
                 16 
                 0 
               
               
                 1920 
                 960 
                 4 
                 19200 
                 1280 
                 1256 
                 16 
                 8 
               
               
                   
               
            
           
         
       
     
     As can be appreciated, the various description of above for downlink DPCH when L=16 is readily applicable to this preferred embodiment when L=15, including the correlator circuits (with some modifications) and the generally characteristics. Moreover, the result of the addition of two or four auto-correlation functions and cross-correlation functions between two or four frame synchronization words corresponds to  FIGS. 22A-22D . 
     In order to evaluate the performance of the frame synchronization words in accordance with the preferred embodiment for 15 slots per frame, the following events and parameters are first defined:
     H 1 : The event that the auto-correlator output exceeds the predetermined threshold at zero slot offset.   H 2 : The event that the auto-correlator output exceeds the predetermined threshold at zero slot offset or the cross-correlator output is smaller than −1×predetermined threshold) at 7 slot offset.   H 3 : The event that the auto-correlator exceeds the predetermined threshold at slot offset except zero.   H 4 : The event that the cross-correlator output is smaller than −1×predetermined threshold) at slot offset except 7.   P S : Probability of a frame synchronization confirmation success.   P FA : Probability of a false alarm.   

     The frame synchronization is confirmed if the output of the correlator using the frame synchronization word exceeds the predetermined threshold. The success of the frame synchronization confirmation is determined when the successive S R  frame synchronization is confirmed. Otherwise, the frame synchronization confirmation failure is determined. Thus, the probability of a frame synchronization confirmation success is defined by 
               P   S     =     {               (     Prob   ⁡     (     H   1     )       )       S   R       ,           single   ⁢           ⁢   check                   (     Prob   ⁡     (     H   2     )       )       S   R       ,           double   ⁢           ⁢   check                     (   18   )             
 
The probability of a false alarm can be expressed as 
                     P     F   ⁢           ⁢   A       =     Prob   ⁡     (     H   3     )                   =     Prob   ⁡     (     H   4     )                     (   19   )             
 
     The parameters of  FIG. 26A  are used to evaluate the performance of the pilot bit pattern on uplink DPCCH over AWGN.  FIG. 26B  illustrates the probability of frame synchronization confirmation success P S  on uplink DPCCH with N pilot =6 over AWGN channel. Further,  FIG. 26C  illustrates the probability of a false alarm P FA  on uplink DPCCH with N pilot =6 over AWGN channel. The P S  and P FA  are given as a function of E b /N 0  ratio (E b =energy per bit, N 0 =noise power spectral density). 
     The P S  of single-check and double-check frame synchronization confirmation with S R =3 on uplink DPCCH is smaller than 0.945 and 0.99 at −5 dB, respectively. Further, about 4 dB gain is obtained by employing double-check method compared to single-check method. From  FIG. 26C , the probability of a false alarm with normalized threshold=0.6 at −5 dB is smaller than 2.5×10 −4 . The pilot pattern can be used for frame synchronization confirmation since perfect frame synchronization confirmation success with zero false alarm was detected at Eb/No=0 dB when double-check frame synchronization confirmation method was used. 
       FIG. 27  is a comparison chart between the embodiments for 15 timeslots and 16 slots. Including the various advantages for L=16, the pilot bit/symbol patterns for L=15 in accordance with the preferred embodiment have additional advantages. By using this property/characteristics of the frame synchronization words, double-check frame synchronization scheme can be obtained. There is significant gain about 4 dB by employing the double-check frame synchronization confirmation method compared to single-check method. However, in the case of 15 slots, the complexity of the correlator circuit is doubled since an auto-correlator for positive peak detection and a cross-correlator for negative peak detection are used. 
     Since the auto-correlation function of the frame synchronization words of the 15 slots has the lowest out-of-phase coefficient, the single-check frame synchronization confirmation method can also be employed; whereas, in the case of 16 slots, there is some problems due to +4 or −4 out-of-phase coefficients. The pilot patterns of 15 slots is very suitable for frame synchronization confirmation since perfect frame synchronization confirmation success with zero false alarm was detected at Eb/No=0 dB on uplink DPCH when double-check frame synchronization confirmation method was used. Due to the various advantageous of the preferred embodiment, the pilot bit/symbol patterns of 15 slots have been again accepted by the 3GPP. 
     STTD Encoding for Downlink 
     The 3GPP RAN has a description in TS s1.11 v1.1.0 on a downlink physical channel transmit diversity on application of a open loop transmit diversity and a closed loop transmit diversity in different downlink physical channels. The open loop transmit diversity uses STTD encoding based on spatial or temporal block coding. As described above, the present invention suggest new downlink pilot patterns using the STTD encoding into consideration. The STTD encoding is used optionally at the base station and preferably required at the user equipment. 
       FIG. 28A  illustrates a block diagram of an STTD transmitter  60  according to the 3GPP RAN standards for open loop transmit diversity. A data provided to the STTD transmitter in a non-diversity mode passes through a channel encoder  61  for channel coding, a rate matcher  62  for rate matching, and an interleaver  63  for interleaving, and therefrom to a first multiplexer  64 . The multiplexer  64  multiplexes a final interleaved data, a TFCI field, and a TPC field. The STTD encoder  65  provides data patterns to be respectively transmitted through a first transmission antenna  67  and a second transmission antenna  68  to a second multiplexer  66 . In other words, the second multiplexer  66  has symbols S 1  and S 2  by QPSK provided thereto together with symbols −S 2 * and S 1 * produced to be orthogonal to the symbols S 1  and S 2 . 
       FIG. 28B  explains an STTD encoding of an STTD transmitter  60  according to the 3 GPP RAN standards. For example, it is assumed that QPSK symbols provided to the STTD encoder  65  is “S 1 =1 1” in a first symbol period 0 T, and “S 2 =1 0” in a second symbol period T 2T. The symbols produced to be orthogonal to the QPSK symbols at the STTD encoder 65 is “0 0” in the first symbol period 0 T, and “1 0” in the second symbol period T 2T. 
     The symbols produced according to the STTD encoding have the following characteristics. The symbols “0 0” produced in the first symbol period 0 T are symbols an converted from QPSK symbols S 2  in the second symbol period T 2T provided to the STTD encoder  65 , and the symbols “1 0” produced in the second symbol period T 2T are symbols converted from the QPSK symbols S 1  in the first symbol period 0 T provided to the STTD encoder  65 . 
     The symbols “−S 2 * and S 1 *” are produced in respective symbol periods through shifting, complementary and conversion process according to the STTD encoding. Eventually, since the symbols “−S 2 * and S 1 *=0 0, 1 0” and the QPSK symbols S 1  and S 2 =1 1, 1 0 provided to the STTD encoder  65  have correlation values “0”, they are orthogonal to each other. 
     The STTD encoded pilot symbol patterns of  FIG. 19A  are orthogonal to the pilot symbol patterns of  FIG. 15A and a  method for producing the pilot symbol patterns of  FIG. 19A  by applying the STTD encoding principle to the pilot symbol patterns of  FIG. 15A  will be explained with reference to FIG.  28 B. 
     The STTD encoding is preferably carried out in units of two symbols as bundles. In other words, if it is assumed that the two symbols are “S 1 =A+jB” and “S 2 =C+jD”, the STTD encoding is carried out with S 1  and S 2  tied as a unit. In this instance, “A” and “C” are pilot bits for the I channel branch and “B” and “C” are pilot bits for the Q channel branch. An STTD encoding of “S 1  S 2 ”produces “−S 2 * S 1 *” (where * denotes a conjugate complex). At the end of the encoding, the STTD encoded two symbols will be “−S 2 *=−C+jD” and “S 1 *=A−jB”. 
     Specifically, when the symbol rate is 8 ksps (N pilot =4) of  FIG. 15A , “S 1 =1+j, S 2 =C 1 +jC 2 ” of respective symbol # 0  and symbol # 1  are STTD encoded into “−S 2 *=−C 1 +jC 2 ” of symbol # 0  and “S 1 *=1−j 0 ” of symbol # 1 . When symbol rate is 16, 32, 64 or 128 ksps (N pilot =8) in  FIG. 15A , “S 1 =C 1 +jC 2 , S 2 =C 3 +jC 4 ” at symbol # 1  and symbol # 3  are STTD encoded into “−S 2 *=−C 3 +jC 4 ” of symbol # 1  and “S 1 *=C 1 −jC 2 ” of symbol # 3  of FIG.  19 A. The non-shaded symbol # 0  and symbol # 2  in  FIG. 19A  are made orthogonal to the non-shaded symbol # 0  and symbol # 2  in FIG.  15 A. In other words, “11”, “11” in  FIG. 15A  are made to be “11”, “00” in FIG.  19 A. 
     When the symbol rate is 256, 512, 1024 ksps (N pilot =16), there are four shaded pilot symbols. Therefore, the pilot symbols are STTD encoded by two shaded symbols, e.g., “S 1 =C 1 +jC 2 , S 2 =C 3 +jC 4 ” of shaded symbol # 1  and symbol # 3  of  FIG. 19A , are STTD encoded into “−S 2 *=−C 3 +jC 4 ” of symbol # 1  and “S 1 *=C 1 −jC 2 ” of symbol # 3  of  FIG. 19A , and “S 1 =C 5 +jC 6 , S 2 =C 7 +jC 8 ” of a third and a fourth shaded symbol # 5  and symbol # 7  of  FIG. 15A , are STTD encoded into “−S 2 *=−C 7 +jC 8 ” of symbol # 5  and “S 1 *=C 5 −jC 6 ” of symbol # 7  of FIG.  19 A. The non-shaded symbol # 0 , symbol # 2 , symbol # 4 , and symbol # 6  of  FIG. 19A , are orthogonal to the non-shaded symbol # 0 , symbol # 2 , symbol # 4 , and symbol # 6  of FIG.  15 A. That is, “11”, “11”, “11”, “11” of  FIG. 15A  are made into “11”, “00”, “11”, “00” of FIG.  19 A. 
     The symbols of  FIG. 19A  which is produced by applying the STTD encoding to the pilot symbol patterns in  FIG. 15A  have the following characteristics. In  FIG. 15A , when the symbol rate is 8 ksps N pilot =4), 16, 32, 64, or 128 ksps (N pilot =8), or 256, 512, or 1024 ksps (N pilot =16), the shaded column sequences are classed into four PCSP ‘E’, ‘F’, ‘G’ or ‘H’ starting from the lowest symbol number, and the column sequences comprises words C 1 , C 2 , C 3 , and C 4  and C 5 , C 6 , C 7 , and C 8  in accordance with the preferred embodiment in an order corresponding to the classes, to express each PCSP as E={C 1 , C 5 }, F={C, C 6 }, G={C 3 , C 7 }, and H={C 4 , C 8 }, as described above. Since the pilot symbol patterns of  FIG. 19A  are the pilot symbol patterns in  FIG. 15A  after the STTD encoding, when the symbol rate is 256, 512, or 1024 ksps (N pilot =16), the column sequences are arranged in “−C 3 , C 4 , C 1 , and −C 2 ” and “−C 7 , C 8 , C 5 , −C 6 ” when the shaded column sequences are classed in ‘E’, ‘F’, ‘G’ and ‘H’ starting from the lowest symbol number. Hence, E={−C 3 , −C 7 }, F={C 4 , C 8 }, G={C 1 , C 5 } and H={−C 2 , −C 6 }. Compare  FIGS. 15B and 19B . 
     As per the non-shaded pilot symbol patterns, when each slot has 4 pilot bits, “10” is allocated to all slots of symbol # 1 . When each slot has 8 pilot bits, “11” is allocated to all slots of symbol # 0 , and “00” to all slots of symbol # 2 . When each slot has 16 pilot bits, “11” is allocated to all slots of symbol # 0 , “00” to all slots of slot # 2 , “11” is allocated to all slots of symbol # 4 , and “00” to all slots of symbol # 6 . Accordingly, cross correlation of the non-shaded symbols of  FIG. 19A , i.e., the column sequences having “10(N pilot =4 bits)”, “11(N pilot =8 bits and N pilot =16 bits)”, or “00(N pilot =8 bits and N pilot =16 bits)”, with the shaded column sequences have values “0” for all time shifts “ ”. Further, when a slot has 4, 8, or 16 pilot bits, the present invention arranges the pilot symbol patterns such that a cross correlation of a word of I channel branch and a word of a Q channel branch in every symbol number is “0” at a time shift “τ=0”. 
     The above description of STTD encoding is readily applicable to downlink PCCPCH (compare  FIGS. 16A and 19C ) and downlink Secondary CCPCH (compare  FIGS. 16C and 19E ) for 16 slots. Further, the STTD encoding is readily applicable to downlink DPCH (compare  FIGS. 24A and 24C ) and downlink SCCPCH (compare  FIGS. 25A and 25C ) for 15 slots. 
     Alternative Embodiments of Uplink and Downlink Apparatus for Frame Synchronization 
     The frame synchronization words of  FIG. 21  are used for the frame synchronization detection, in case of using 15 slots per frame. To use the frame synchronization words of  FIG. 21  for the frame synchronization detection, the following arrangement features are preferable. 
     The number of bit values ‘0’ or ‘1’ is greater by 1 than the number of bit values ‘1’ or ‘0’ in each code sequence C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 7 , C 8  to allow (1) the correlation value between the pilot sequences at all delay time points to be a minimum value when the pilot sequence all having the bit value ‘1’ is inserted between the shaded sequences of uplink and downlink, and (2) the pilot sequences to have the minimum correlation value between the pilot sequences at all delay time points or time shifts when the code sequence all having the bit value ‘0’ is inserted between the pilot sequences C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 7 , C 8 . 
     Further, each pilot sequences C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 7 , C 8  are designed to have the minimum correlation value between the pilot sequences (for example, C 1  and C 2 , C 2  and C 3 , . . . ) adjacent to each other at the delay time point of ‘0’. The pilot sequences C 5 , C 6 , C 7  and C 8  are formed by the shifting of the pilot sequences C 1 , C 2 , C 3  and C 4 . In other words, the pilot sequences C 5 , C 6 , C 7  and C 8  are formed by shifting the pilot sequences C 1 , C 2 , C 3  and C 4 , have the minimum correlation value between the pilot sequences adjacent to each other at the delay time point of ‘0’. 
     Each pilot sequence C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 7 , C 8  is designed to have the minimum correlation value at any delay time point except at the delay time point of ‘0’. 
     The correlation value between the pilot sequences C 1  and C 2  has a maximum value having a negative polarity at an intermediate delay time point, and the correlation value between the pilot sequences C 2  and C 1  has a minimum value at any delay time point except at the intermediate delay time point. The correlation value between the pilot sequences C 3  and C 4  has a maximum value having a negative polarity at an intermediate delay time point, and the correlation value between the pilot sequences C 4  and C 3  has a minimum value at any delay time point except at the intermediate delay time point. 
     The correlation value between the pilot sequences C 5  and C 6  has a maximum value having a negative polarity at an intermediate delay time point, and the correlation value between the pilot sequences C 6  and C 5  has a minimum value at any delay time point except at the intermediate delay time point. The correlation value between the pilot sequences C 7  and C 8  has a maximum value having a negative polarity at an intermediate delay time point, and the correlation value between the pilot sequences C 8  and C 7  has a minimum value at any delay time point except at the intermediate delay time point. 
     Particularly, the pilot sequence C 1  is shifted and inverted to generate the pilot sequence C 2 . The pilot sequence C 3  is shifted and inverted to generate the pilot sequence C 4 . The pilot sequence C 5  is shifted and inverted to generate the pilot sequence C 6 . The pilot sequence C 7  is shifted and inverted to generate the pilot sequence C 8 . 
     The frame synchronization words of  FIG. 21  are designed based upon the above arrangement characteristics for use frame synchronization detection of uplink and downlink channels, and particularly, for double checking the frame synchronization detection. 
     As appreciated from the above arrangement characteristics, each pilot sequence of the frame synchronization words exhibits a self-correlation feature as follows: 
                 R   Ci     ⁡     (   τ   )       =     (           15   ,           τ   =   0                 -   1     ,           τ   ≠   0           )             (   20   )             
 
where i=1, 2, 3, . . . , 8, and R Ci (τ) represents self-correlation functions of each pilot sequence C 1  to C 8 . As described above, the words are divided into PCSP of E, F, G and H.
 
     The pairs of pilot sequences {Ci, Cj} contained in the same class, e.g. {C 1 , C 2 }, {C 3 , C 4 }, {C 5 , C 6 }, and {C 7 , C 8 } have the cross-correlation characteristic as follows. 
               R     C   j       ⁢     ,     C   i       ⁢       (     τ   +   1     )     =     (             -   15     ,           τ   =   7               1   ,           τ   ≠   7           )               (   21   )             
 
where i=1 &amp; j=2, i=3 &amp; j=4, i=5 &amp; j=6, and i=7 &amp; j=8. 
               R     C   j       ⁢     ,     C   i       ⁢       (     τ   +   1     )     =     (             -   15     ,           τ   =   7               1   ,           τ   ≠   7           )               (   22   )             
 
where j=2 &amp; i=1, j=4 &amp; i=3, j=6 &amp; i=5, and j=8 &amp; i=7.
 
     In equation (21), R Ci,Cj (τ) represents a cross-correlation function between the pair of code sequences in each class. In equation (22), R Cj,Ci (τ+1) is a function of the cross-correlation of the code sequence C i  with the code sequence C j  shifted by a length of bit ‘1’. 
     The combination of the self-correlation feature of equation (20) with the cross-correlation feature of the equations (21) and (22) is given by the following: 
                 Q     i   =   1     α     ⁢       R     C   i       ⁡     (   τ   )         =     (             α   ·   15     ,           τ   =   0                 -   α     ,           τ   ≠   0           )             (   23   )             
 
     where α=1, 2, 3, . . . , 8. 
                 Q     i   =   1       α   /   2       ⁡     [       R     C       2   ⁢   i     -   1         ⁢     ,     C     2   ⁢   i         ⁢       (   τ   )     +     R     C     2   ⁢   i           ⁢     ,     C       2   ⁢   i     -   1         ⁢     (     τ   +   1     )       ]       =     (               -   α     ·   15     ,           τ   =   7               α   ,           τ   ≠   7           )             (   24   )             
 
     where α=2, 4, 6, 8. 
       FIGS. 29A and 29B  are graphs illustrating an embodiment of correlation results using a pilot pattern in accordance with a preferred embodiment and  FIGS. 30A and 30B  are graphs illustrating another embodiment of correlation results using a pilot pattern in accordance with a preferred embodiment. 
     The correlation results in  FIGS. 29A  to  30 B are obtained from the equations (23) and (24), where  FIGS. 29A and 29B  show the correlation results when α=2 in equations (23) and (24) and  FIGS. 30A and 30B  shows the correlation results when α=4 in equations (23) and (24). 
     In more detail,  FIG. 29A  shows the added result of the self-correlation functions when α=2 in equation (23), and  FIG. 29B  shows the added result of the cross-correlation functions when α=2 in equation (24).  FIG. 30  shows the added result of the self-correlation functions when α=4 in equation (23) and  FIG. 30B  shows the added result of the cross-correlation functions when α=4 in equation (24). 
     With the observation of each correlation result in  FIGS. 29A  to  30 B, a single lot check is executed upon the frame synchronization detection, and with the concurrent observation of the self-correlation and cross-correlation results in  FIGS. 29A  to  30 B, a double check is executed upon the frame synchronization detection. Based on the above, the pilot patterns and pilot symbols of L=15, as described above, for uplink and downlink are generated. 
     The frame synchronization words, preferably, 8 words, of  FIG. 21  are generated from a single pilot sequence. The relationship between the frame synchronization words is given by the following equation (25). In more detail, the relationship between the pilot sequence C 1  and the other pilot sequences is given. 
                       C   1     ⁡     (     t   +   j   +   τ     )       =     -       C   2     ⁡     (     t   +   j   +   τ   +   7     )                     =       C   3     ⁡     (     t   -   j   -   τ   +   5     )                   =     -       C   4     ⁡     (     t   -   j   -   τ   +   12     )                     =       C   5     ⁡     (     t   +   j   +   τ   +   10     )                   =     -       C   6     ⁡     (     t   +   j   +   τ   +   2     )                     =       C   7     (     t   -   j   -   τ     )                 =     -       C   8     ⁡     (     t   -   j   -   τ   +   7     )                       (   25   )             
 
     In equation (25), the pilot sequence C 1  is generated by inverting, cyclic shifting, or reversing the other code sequences. 
     Based upon equation (25), when α=8 in equation (23), the added result of the self-correlation functions is given by the following equation (27). Before calculating the added result, however, the sum (S) of the eight pilot sequences should be obtained by equation (26):
 
 S ( t+j +τ)= C   1 ( t+j +τ)− C   2 ( t+j +τ+7)+ C   3 ( t−j −τ+5)−
 
 C   4 ( t−j −+12)+C 5 ( t+j +τ+10)− C   6 ( t+j +τ+2)+
 
 C   7 ( t−j −τ)− C 8( t−j −τ+7)=8 C   1 ( t+j +τ)  (26)
 
     By using equation (26), equation (23) can be expressed as equation (27), in case of α=8. 
                       Q     i   =   1     8     ⁢       R     c   l       ⁡     (   τ   )         =       ⁢       Q     i   =   1     8     ⁢     Q     j   =   0     14     ⁢       C   i     ⁡     (     t   +   j     )       ⁢       C   i     ⁡     (     t   +   j   +   τ     )                     =       ⁢       Q     j   =   0     14     ⁢         C   l     ⁡     (     t   -   j     )       ·     [       C1   ⁡     (     t   +   j   +   τ     )       -     C2   ⁡     (     t   +   j   +   τ   +   7     )       +                           ⁢       C3   ⁢     (     t   -   j   -   τ   +   5     )       -     C4   ⁡     (     t   -   j   -   τ   +   12     )       +                     ⁢       C5   ⁢     (     t   +   j   +   τ   +   10     )       -     C6   ⁡     (     t   +   j   +   τ   +   2     )       +                     ⁢       C7   ⁡     (     t   -   j   -   τ     )       -     C8   ⁡     (     t   -   j   -   τ   +   7     )         ]               =       ⁢       Q     j   =   0     14     ⁢         C   l     ⁡     (     t   +   j     )       ·     S   ⁡     (     t   +   j   +   τ     )                         (   27   )             
 
     Assuming that the pilot sequences C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 7 , C 8  are defined by following equation (28), the index processed relation of equation (29) is given from the equation (25).
 
C 1 =(C 1,0 , C 1,1 , . . . , C 1,14 )
 
C 2 =(C 2,0 , C 2,1 , . . . , C 2,14 )
 
C 3 =(C 3,0 , C 3,1 , . . . , C 3,14 )
 
C 4 =(C 4,0 , C 4,1 , . . . , C 4,14 )
 
C 5 =(C 5,0 , C 5,1 , . . . , C 5,14 )
 
C 6 =(C 6,0 , C 6,1 , . . . , C 6,14 )
 
C 7 =(C 7,0 , C 7,1 , . . . , C 7,14 )
 
C 8 =(C 8,0 , C 8,1 , . . . , C 8,14 )  (28)
 
                     C       1   ′     ⁢     (     j   -   τ     )     ⁢     (   mod15   )         =     -     C       2   ′     ⁢     (     j   +   τ   +   7     )     ⁢     (   mod15   )                       =     C       3   ′     ⁢     (       -   j     -   τ   +   5     )     ⁢     (   mod15   )                     =     -     C       4   ′     ⁢     (       -   j     -   τ   +   12     )     ⁢     (   mod15   )                       =     C       5   ′     ⁢     (     j   +   τ   +   10     )     ⁢     (   mod15   )                     =     -     C       6   ′     ⁢     (     j   +   τ   -   2     )     ⁢     (   mod15   )                       =     C       7   ′     ⁢     (       -   j     -   τ     )     ⁢     (   mod15   )                     =     -     C       8   ′     ⁢     (       -   j     -   τ   +   7     )     ⁢     (   mod15   )                         (   29   )             
 
     By using the above, a correlation processing apparatus for the frame synchronization according to the present invention is embodied. In the correlation processing apparatus of the present invention, the eight frame synchronization words are stored in a memory, and at this time, if the index (i, j) of each pilot sequence represents a memory address, the relation between the frame synchronization words stored in the memory is based on equation (29) 
       FIG. 31  illustrates the correlation processing apparatus for the uplink channel in accordance with a preferred embodiment of the present invention, in which a single check for each slot is executed upon the frame synchronization detection. 
     As an example, the number of pilot bits N pilot  is 6 and the number of pilot sequences inputted for the frame synchronization detection is 4 in the correlation apparatus of FIG.  31 . In other words, α=4) so the pilot sequences C 1  to C 4  of  FIG. 21  are used. 
     Hence, the equation (27) is transformed into the following equation (30): 
                       Q     i   =   1     4     ⁢       R     c   i       ⁡     (   τ   )         =       ⁢       Q     i   =   1     4     ⁢     Q     j   =   0     14     ⁢       C   i     ⁡     (     t   +   j     )       ⁢       C   i     ⁡     (     t   +   j   +   τ     )                     =       ⁢       Q     j   =   0     14     ⁢         C   l     ⁡     (     t   +   j     )       ·     [       C1   ⁡     (     t   +   j   +   τ     )       -     C2   ⁡     (     t   +   j   +   τ   +   7     )       +                           ⁢       C3   ⁢     (     t   -   j   -   τ   +   5     )       -     C4   ⁡     (     t   -   j   -   τ   +   12     )         ]                 (   30   )             
 
     Since the characteristics of the frame synchronization words as indicated in equation (30) are utilized in the present invention, the correlation processing apparatus of  FIG. 31  implements a single correlator for the frame synchronization detection. 
     A signal in one frame unit of the uplink dedicated physical control channel is received, and the demodulated column sequences of the bit# 1 , bit# 2 , bit# 4  and bit# 5  in the pilot pattern of  FIG. 23E  are inputted in the order of the slot number. 
     The four column sequences are inputted to a memory mapping/addressing block, in which the column sequences are stored in the frame unit and shifted and reversed by using the cross-correlation between the frame synchronization words of equation (29). In this case, the column sequences stored in the frame unit are given by the following equation (31). At this time, the index (i, j) of each column sequence represents the memory address.
 
Ĉ 1 =(Ĉ 1,0 ,Ĉ 1,1 , . . . , Ĉ 1,14 )
 
Ĉ 2 =(Ĉ 2,0 ,Ĉ 2,1 , . . . , Ĉ 2,14 )
 
Ĉ 3 =(Ĉ 3,0 ,Ĉ 3,1 , . . . , Ĉ 3,14 )
 
Ĉ 4 =(Ĉ 4,0 ,Ĉ 4,1 , . . . , Ĉ 4,14 )  (31)
 
     Each column sequence in equation (31) is shifted and reversed by the memory mapping/addressing block and then outputted. The outputs from the memory mapping/addressing block are added to provide the result value ‘S 1 ’ as indicated by equation (32) to the correlator.
 
 S   1 = Ĉ   1′(j+τ)(mod 15)   −Ĉ   2′(j+τ+7)(mod 15)   +Ĉ   3′(−j−τ+5)(mod 15)   −Ĉ   4′(−j−τ+12)(mod 15)   ( 32) 
 
     The correlator correlates the previously stored pilot sequence C 1  and the result value ‘S 1 ’ in equation (32) to thereby detect the frame synchronization. At this time, the correlated result is shown in FIG.  30 A and with the observation of the correlated result, a single check can be achieved upon the frame synchronization detection. 
       FIG. 32  is a correlation processing apparatus for the downlink in accordance with a preferred embodiment of the present invention, in which the single check for each slot is executed upon the frame synchronization detection. 
     In this example, the symbol rate is 256, 512, 1024 Ksps(N pilot =16), and the number of code sequences inputted for the frame synchronization detection is 8 in FIG.  32 . In other words, α=8, so the code sequences C 1  to C 8  of  FIG. 21  are used. The column sequences, which are mapped with the branch stream of each channel I or Q of the first, third, fifth and seventh pilot symbols(symbol# 1 , symbol# 3 , symbol# 5 , and symbol# 7 ) are utilized. 
     Thus, equation (27) is used without any transformation, and the characteristics of the frame synchronization words as indicated in equation (27) are utilized. As a result, the correlation processing apparatus of  FIG. 32  implements a single correlator for the frame synchronization detection. 
     Referring to  FIG. 32 , a signal in one frame unit of the downlink dedicated physical control channel is received, and the demodulated column sequences of the symbol# 1 , symbol# 3 , symbol# 5 , and symbol# 7  in the pilot pattern of  FIG. 24A  are inputted in the order of the slot number. 
     The eight column sequences are inputted to a memory mapping/addressing block, in which the column sequences are stored in the frame unit and shifted and reversed by using the cross-correlation between the frame synchronization words of equation (29). In this case, the column sequences stored in the frame unit are given by the following equation (33). At this time, the index (i, j) of each column sequence represents the memory address.
 
Ĉ 1 =(Ĉ 1,0 ,Ĉ 1,1 , . . . , Ĉ 1,14 )
 
Ĉ 2 =(Ĉ 2,0 ,Ĉ 2,1 , . . . , Ĉ 2,14 )
 
Ĉ 3 =(Ĉ 3,0 ,Ĉ 3,1 , . . . , Ĉ 3,14 )
 
Ĉ 4 =(Ĉ 4,0 ,Ĉ 4,1 , . . . , Ĉ 4,14 )
 
Ĉ 5 =(Ĉ 5,0 ,Ĉ 5,1 , . . . , Ĉ 5,14 )
 
Ĉ 6 =(Ĉ 6,0 ,Ĉ 6,1 , . . . , Ĉ 6,14 )
 
Ĉ 7 =(Ĉ 7,0 ,Ĉ 7,1 , . . . , Ĉ 7,14 )
 
Ĉ 8 =(Ĉ 8,0 ,Ĉ 8,1 , . . . , Ĉ 8,14 )  (33)
 
     Each column sequence in the above equation (33) is shifted and reversed by the memory mapping/addressing block and then outputted. The outputs from the memory mapping/addressing block are added to provide the result value ‘S 2 ’ as indicated by the following equation (34) to the correlator. 
       S   2 = Ĉ   1′(j−τ)(mod 15)   −Ĉ   2′(j−τ+7)(mod 15)   +Ĉ   3′(−j−τ+5)(mod 15)   − 
 
Ĉ 4′(−j−τ+12)(mod 15)   +Ĉ   5′(j+τ−10)(mod 15)   −Ĉ   6′(j+τ+2)(mod 15)   + 
 
Ĉ 7′(−j−τ)(mod 15)   −Ĉ   8′(−j−τ+7)(mod 15)   ( 34) 
 
     The correlator correlates the previously stored pilot sequence C 1  and the result value ‘S 2 ’ of equation (34) to thereby detect the frame synchronization. At this time, the correlated result of FIG.  33  and with the observation of the correlated result, a single check can be achieved upon the frame synchronization detection. 
     The correlation processing apparatus for the uplink and downlink channels according to the present invention adds the code sequences, while having different specific time delay and upward/downward ordering for each code sequence. Upon the addition of the code sequences, each sequence suffers from various kinds of channel characteristic to thereby obtain a time diversity effect. 
     In the case where the size of the code sequence stored is smaller than two frames, the continuity of the sequence by code sequences may be disconnected upon the correlation processing. However, the discontinuity of the sequence can provide the time diversity effect. 
     The number of the code sequences added is 2 or 3 or more, and in the case where the code sequences in the order of same direction(upward or downward direction) are combined, the size of the memory can be reduced. In contrast, in the case where the code sequences in the order of different direction are combined, the time diversity can be obtained by the discontinuity of the sequence. 
     In the case where the code sequences where the time delay difference is small are combined, the size of the memory can be reduced. In contrast, in the case where the code sequences where the time delay difference is large are combined, the time diversity can be obtained. 
     As discussed above, a frame synchronization apparatus and method using an optimal pilot pattern according to the present invention can use a single correlator in the uplink or downlink, irrespective of the number of the code sequences used, to thereby render the hardware for the frame synchronization at the receiving side substantially simple. 
     In addition, the simplified hardware construction does not require any complicated software, so the frame synchronization can be detected in a simple manner. 
     The foregoing embodiments are merely exemplary and are not to be construed as limiting the present invention. The present teaching can be readily applied to other types of apparatuses. The description of the present invention is intended to be illustrative, and not to limit the scope of the claims. Many alternatives, modifications, and variations will be apparent to those skilled in the art. In the claims, means-plus-function clauses are intended to cover the structures described herein as performing the recited function and not only structural equivalents but also equivalent structures.