Abstract:
The present invention, generally speaking, provides for control of a modulator, such as a polar modulator or conventional linear modulator, to produce high quality RF signals that ramp quickly from a condition of minimal output power to a condition of information-bearing modulation at a specified output power and back down to the condition of minimal output power. Using a polar modulator, for example, it is theoretically possible to perform ramping without degrading the transient measurements beyond the degradation caused by the information-bearing modulation itself. This ideal can be closely approached in practice. Such ramping can be achieved without the need for extensive unit-by-unit calibration on the manufacturing line.

Description:
BACKGROUND OF THE INVENTION  
       [0001]     1. Field of the Invention  
         [0002]     The present invention relates to power ramping in a communications transmitter.  
         [0003]     2. State of the Art  
         [0004]     High quality RF (radio frequency) signals must ramp quickly from a condition of minimal output power to a condition of information-bearing modulation at a specified output power and back down to the condition of minimal output power. Such power ramping capability, illustrated in  FIG. 1 , is required for transmitters in many time division multiple access (TDMA) communication systems. Example systems include those specified by the GSM and ANSI-136 standards, and combinations of the same (so-called multi-mode systems).  
         [0005]     A fundamental requirement of these transmitters is that the acts of ramping up and ramping down must not violate specified limits on peak power in spectral bands away from the assigned RF channel (e.g., bands that would be allocated to other transmitters); the associated measurement is called the transient spectrum in some systems or the transient adjacent channel power (transient ACP) in others.  
         [0006]     Present power ramping techniques must be tailored for each modulation type, and typically require unit-by-unit calibration (at least in the case of typical GMSK transmitters and conventional multi-mode transmitters). Even so, transient ACP performance is usually very sub-optimal.  
         [0007]     The present invention is applicable to both conventional (I/Q) and polar modulation architectures. Polar modulation architectures, and similar architectures in which separate amplitude and phase paths are provided, are described, for example, in U.S. Pat. Nos. 6,191,653, 6,194,963, 6,078,628, 5,705,959, 6,101,224, 5,847,602, 6,043,707, and 3,900,823, as well as French patent publication FR 2768574, all of which are incorporated herein by reference.  
       SUMMARY OF THE INVENTION  
       [0008]     The present invention, generally speaking, provides for control of a modulator, such as a polar modulator or conventional linear modulator, to produce high quality RF signals that ramp quickly from a condition of minimal output power to a condition of information-bearing modulation at a specified output power and back down to the condition of minimal output power. Using a polar modulator, for example, it is theoretically possible to perform ramping without degrading the transient measurements beyond the degradation caused by the information-bearing modulation itself. This ideal can be closely approached in practice. Such ramping can be achieved without the need for extensive unit-by-unit calibration on the manufacturing line. 
     
    
     BRIEF DESCRIPTION OF THE DRAWING  
       [0009]     The present invention may be further understood from the following description in conjunction with the appended drawing. In the drawing:  
         [0010]      FIG. 1  is a diagram illustrating power ramping in a communication system;  
         [0011]      FIG. 2  is a diagram illustrating operation of a conventional QAM modulator using a pulse shaping filter having an impulse response given by p(t);  
         [0012]      FIG. 3  is a diagram of one example of p(t);  
         [0013]      FIG. 4  is a diagram illustrating operation of a QAM modulator using prepended and appended zero-valued symbols to control ramping;  
         [0014]      FIG. 5  is a timing diagram of timing signal used in with the circuitry of  FIG. 6 ;  
         [0015]      FIG. 6  is a diagram of a portion of a transmitter including ramp control circuitry in accordance with an exemplary embodiment of the invention;  
         [0016]      FIG. 7  is a signal plot of results obtained using the ramp control circuit of  FIG. 6 ;  
         [0017]      FIG. 8  is a diagram of a pulse shaping filter function p(t) used in the example of  FIG. 7 ;  
         [0018]      FIG. 9  is an exploded view of the rising edge of the ramp of a signal plot like that of  FIG. 7 ;  
         [0019]      FIG. 10  shows the rising edge of the ramp of  FIG. 9  when viewed on a logarithmic (dB) scale;  
         [0020]      FIG. 11  is similar to  FIG. 9  but shows the falling edge of the ramp;  
         [0021]      FIG. 12  is a block diagram illustrating application of the present ramping technique in a polar modulation architecture;  
         [0022]      FIG. 13  is a diagram of a pulse shaping filter function n(t) used for D-AMPS;  
         [0023]      FIG. 14  is a diagram of a portion of a communications transmitter implementing ramping for D-AMPS;  
         [0024]      FIG. 15  is a block diagram illustrating GMSK ramping in a polar modulation architecture;  
         [0025]      FIG. 16  is a block diagram illustrating GMSK ramping in an I/Q architecture;  
         [0026]      FIG. 17  is a diagram illustrating the output r(t) of the ramp generator in  FIG. 15  and  FIG. 16 ;  
         [0027]      FIG. 18  is a block diagram of a multi-mode transmitter in accordance with the present invention; and  
         [0028]      FIG. 19  is a timing diagram illustrating operation of the transmitter of  FIG. 18 .  
     
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS  
       [0029]     For nearly all systems of interest, the complex envelope x(t) of an information-bearing modulation can be expressed by the well-known equation  
         x   ⁡     (   t   )       =       ∑   n     ⁢       a   n     ⁢     p   ⁡     (     t   -     n   ⁢           ⁢   T       )               
 
 which is equivalent to  
         x   ⁡     (       n   ⁢           ⁢   T     +   τ     )       =       ∑     k   =   0     L     ⁢       a     n   -   k       ⁢     p   ⁡     (       k   ⁢           ⁢   T     +   τ     )               
 
 where a n  is the n-th complex-valued symbol (typically drawn from a discrete constellation), p(t) is the impulse response at time t of a pulse-shaping filter, and T is the symbol period. Time t can be either continuous or discrete. Operation of a conventional QAM modulator using a pulse shaping filter having an impulse response given by p(t) is illustrated in  FIG. 2 . Due to the desire to maintain spectral efficiency, p(t) is typically a smooth pulse-like function as shown for example in  FIG. 3 . 
 
         [0030]     An important observation, previously unknown either with respect to polar modulators or conventional modulators, is exploited in accordance with the present invention to achieve ramping having the advantageous characteristics previously mentioned. It is that by prepending and appending a few zero-valued symbols to the finite-length sequence of information symbols belonging to a burst, the resulting complex envelope x(t) naturally ramps up and down precisely as required. Furthermore, it can be shown mathematically that the transient spectral properties of x(t) during these ramps are no worse than during the information-bearing modulation. A diagram illustrating operation of a QAM modulator using prepended and appended zero-valued symbols to control ramping is shown in  FIG. 4 .  
         [0031]      FIG. 6  shows a portion of a transmitter including ramp control circuitry in accordance with an exemplary embodiment of the invention. Prior to describing the circuitry of  FIG. 6 , it will be useful to understand the relationship of certain timing signals used in the circuitry of  FIG. 6 . These timing signals are shown in  FIG. 5 . A sample clock signal is divided by some number T to obtain a symbol clock. A τ counter counts the sample clock pulse within one period of the symbol clock. In the example of  FIG. 5 , T=4.  
         [0032]     Referring now to  FIG. 6 , a pulse shaping filter  601  having impulse response coefficients p( 0 ), p( 1 ), . . . , p((L+1)T−1) receives from a tapped delay line or shift register a group of symbols a n , a n−1 , a n−2 , . . . , a n−L . (For purpose of the present description, a shift-register implementation will be assumed.) As τ cycles through 0, 1, 2, . . . , T−1, the indices τ, τ+T, τ+2T, . . . , τ+LT select a subset of the impulse response coefficients for application within the circuit at a particular time. The subsets of impulse response coefficients applied at a particular time may be described as follows: at τ=0, the subset is {0, 1, . . . , T−1}; at τ=1, the subset is {T, T+1, . . . , 2T−1}; at τ=2, the subset is {2T, 2T+1, . . . , 3T−1}, and so forth, until at τ=T−1, the subset is {T−1, T−1+T, T−1+2T, . . . , T−1+LT}. Hence, as τ cycles through 0, 1, 2, . . . , T−1, the entire range of impulse response coefficients p( 0 ), p( 1 ), . . . , p((L+1)T−1) will have been applied.  
         [0033]     The pulse filter forms an output signal  603  given by x(nT+τ), which is modulated using an I/Q modulator or polar modulator  605  to form an RF signal  607 . Prepending and appending of zero-valued symbols for ramp control is accomplished by inputting values to a shift register  608  through an input selector or switch  609 , connected to either a source of information symbols  611  or to a source of zero values  613 . A sample clock  615  is input directly to the pulse-shaping filter, and is input also to a τ counter  617  and a divide-by-T counter  619 . The τ counter produces a count  621  that is input to the pulse-shaping filter. The divide-by-T counter produces from the sample clock a symbol clock  623  that is input to the shift register and applied to clock the individual stages of the shift register.  
         [0034]     In operation, upon receipt of the first information-bearing symbol a 0 , the initial state (n=0) of the shift register is a n−1 =a n−2 = . . . =a n−L =0. As additional symbols are received, they are shifted into the shift register. With each tick of the sample clock, the counter or index τ is updated, modulo T; τ therefore cycles through the sequence 0, 1, . . . , T−1, 0, 1, . . . , T−1, . . . . After the last information symbol enters the shift register, the input selector switches to accept zeros during the next L ticks of the symbol clock, until the shift register state is a n = . . . =a n−L+1 =0 and a n−L =a N−1 , where N is the number of symbols in a burst. In this state, the ramp-down is complete once τ=T−1 is reached.  
         [0035]     Results of this technique for one complete burst with N=148 symbols are shown in the plot of  FIG. 7 . In this example, an EDGE pulse, illustrated in  FIG. 8 , was used, with T=4 (i.e., four samples per symbol) and L+1=5 (i.e., a shift register of length five).  
         [0036]      FIG. 9  shows an exploded view of the rising edge of the ramp of a signal plot like that of  FIG. 7 , annotated to show the value of the τ counter at each output sample, along with the contents of the shift register, updated as each new symbol is input. Note that the ramp up is basically complete within three symbols periods of the first information symbol entering the shift register.  
         [0037]      FIG. 10  shows the rising edge of the ramp when viewed on a logarithmic (dB) scale. Here it can be seen that the signal amplitude during the first symbol period is over 40 dB down from the peak. In most systems (including those complying with the EDGE specification), such small signal components can be significantly distorted (e.g., clamped at zero) without causing measurable degradation of system performance (e.g., transient ACP). Various power amplifier control signals can therefore be abruptly switched during such low-amplitude times without performance degradation, described in greater detail hereinafter.  
         [0038]      FIG. 11  is similar to  FIG. 9  but shows the falling edge of the ramp, with zero-valued symbols entering the shift register after the last information symbol. This appending of zero-valued symbols is accomplished in the example embodiment of  FIG. 6  when the input selector switches to the zero source, after the symbol clock at index n=147 but before the next symbol clock at n=148.  
         [0039]      FIG. 12  is a block diagram illustrating application of the present ramping technique in a polar modulator architecture, i.e., one having separate amplitude and phase paths. A symbol source  1201  inputs data symbols to a pulse modulator  1203 , such as an EDGE QAM modulator, in accordance with a symbol clock  1205 . The modulator produces an envelope signal  1207 , for example an envelope signal like that of  FIG. 7 , given by x(nT+τ). The envelope signal is processed by a rectangular-to-polar converter  1109  (such as a Cordic converter), producing magnitude and phase signals ρ and θ.  
         [0040]     In an exemplary embodiment, the latter signals are corrected for non-linearities and are time aligned to account for path delay differences. Hence, the magnitude signal is applied to an AM/AM look-up table  1211 , an output ρ′ of which is delayed a controlled amount by a magnitude delay element  1213  to produce an output ρ″. Similarly, the phase signal is applied to an AM/PM look-up table  1215 , an output θ′ of which is delayed a controlled amount by a phase delay element  1217  to produce an output θ″. The delays of the magnitude delay element and the phase delay element are controlled to achieve proper magnitude and phase alignment at an amplification chain  1220 .  
         [0041]     The amplification chain  1220 , in an exemplary embodiment, includes three cascaded stages, realized for example using FET devices. The stages are drain modulated and driven in switch mode or, for low-power operation, in “multiplicative” mode, as described more particularly is U.S. patent application Ser. No. ______ (Attorney&#39;s Dkt. No. 1103_LDM.US), filed on even date herewith and incorporated herein by reference. An RF input port  1221  of the amplification chain may be regarded as the phase port, and the drains (or power supply inputs) of the stages may be regarded together as the amplitude port  1223 .  
         [0042]     The amplitude port is driven by a driver circuit  1225 , responsive to the signal ρ″ and to a power level input signal  1227 .  
         [0043]     The phase port is driven by a digital phase modulator  1230 , preferably a digital phase modulator having a phase-stable frequency locked loop as described in U.S. Pat. No. 6,094,101 of the present assignee, incorporated herein by reference, in combination with a VCO  1231 . The digital phase modulator  1230  is isolated from the amplifification chain  1220  using a variable gain amplifier (VGA) or a variable attenuator that is responsive to another power level input signal. Alternatively, the digital phase modulator may be isolated from the power amplifier using a buffer amplifier. These alternative are represented in  FIG. 12  by a variable gain amplifier  1233  that may have a gain that is zero (in the case of the buffer amplifier), negative (in the case of an attenuator) or positive.  
         [0044]     A timing control block  1240  provides timing signals to the symbol source and to the driver circuit, as well as to the buffer amplifier, if present.  
         [0045]     The transmitter of  FIG. 12  is mainly digital, the digital and analog (right-portions being separated by a dashed line.  
         [0046]     The same principles described thus far, particularly with respect to ramping of the EDGE modulator, may be readily extended to embrace other modulation types, such as IS-136, also known as North American Digital Cellular or D-AMPS. The particulars of D-AMPS, however, require certain modifications to the foregoing approach.  
         [0047]     In particular, the pulse shape used in D-AMPS, shown in  FIG. 13 , is theoretically of infinite duration (unlike the EDGE pulse, which has a duration of 5 symbol periods). Of course, in practice, this infinite-duration pulse is truncated, the choice of the truncation interval (i.e., interval outside of which the pulse is truncated) determining the spectral characteristics (including ACP and transient ACP) of the output signal. Using the foregoing method of ramping, to obtain low side lobes, a truncation interval in the range of 8-16 symbols periods would be required, corresponding to a ramp-up time in the range of 4-8 symbol periods and a ramp-down time in the range of 4-8 symbols periods. Unfortunately, such prolonged ramp times exceed the 3 symbol period duration specified in the D-AMPS standard. Therefore, in order to use the foregoing method for D-AMPS, or for multiple QAM modulations including EDGE, D-AMPS, etc., a mechanism of ramp acceleration is required whereby the prolonged ramp times of D-AMPS may be shortened to satisfy the specified ramp mask.  
         [0048]     One way of achieving such ramp acceleration is illustrated in  FIG. 14 . Here, a D-AMPS QAM modulator  1401  is provided, zero-valued symbols being prepended and appended to the information symbols belonging to a burst, as previously described in relation to EDGE. The modulator produces a digital output signal  1403  having a prescribed symbol rate. This digital output signal is applied to a discard unit  1405  controlled by a control signal  1407  from a timing generator (not shown). During ramp-up and ramp-down, a control signal is applied to the discard unit to cause it to discard selected samples (which has the equivalent effect of accelerating the time base). For example, every other sample may be discarded, resulting in 2× acceleration. During the information burst, the discard unit passes the sample stream from the modulator unchanged.  
         [0049]     In an exemplary embodiment, the ramp-up and ramp-down times using ramp acceleration are three symbols times in duration, satisfying the specified ramp mask.  
         [0050]     Since the signal at the original sampling rate is oversampled and is naturally bandlimited, discarding every other symbol does not create spectral side lobes or aliasing, and does not destroy signal information.  
         [0051]     Various other means of accomplishing ramp acceleration will be apparent to those skilled in the art. For example, instead of the discard unit, an arbitrarily variable sample rate converter (sometimes referred to as an asynchronous sample rate converter) of a type known in the art may be used. Using such a sample rate converter, the desired acceleration, instead of being limited to discrete values, may be arbitrarily chosen.  
         [0052]     The foregoing methods are not directly applicable to PM or FM (i.e., constant envelope) signals such as the GMSK signal used in GSM, wherein zero-valued symbols do not result in a zero level output signal. However, in the case of the GMSK signal, its ideal spectrum is practically identical to that of the EDGE signal, suggesting that the same ramp shape used for EDGE could also be used for GMSK. In one particular embodiment, the first half of the EDGE pulse, p( 0 ), p( 1 ), . . . , p(2.5T), is used as the GMSK ramp shape for ramp up, and the rest of the EDGE pulse, p(2.5T), p(2.5T+1), . . . , p(4T+T−1), is used as the GMSK ramp shape for ramp down. The EDGE pulse has the characteristic that the squared magnitude of its Fourier transform is approximately proportional to the power spectrum of the GMSK communications signal.  
         [0053]      FIG. 15  illustrates application of the foregoing ramping technique for GMSK in a polar architecture having separate amplitude and phase paths. A phase path includes a GMSK PAM modulator  1501  and a frequency modulator  1503 , the combination of which generates the final GMSK signal  1405 . (The PAM modulator has a pulse shaping filter with an impulse response g(t) tailored for GMSK.) The PAM modulator receives bits from a bit source (not shown). The bits are used by the PAM modulator and the frequency modulator to generate the GMSK signal  1505 , which is applied to a phase port of a non-linear power amplifier (PA)  1510 . An amplitude path includes a “hard-coded” ramp generator  1511  that uses values from the EDGE pulse p(t) as previously described to generate a ramp signal  1512  that is applied to an amplitude port of the PA  1510 . A timing controller  1513  receives a Start Burst signal  1515  and generates timing signals for the ramp generator and for the PAM modulator. In particular, the ramp generator and the PAM modulator are activated such that by the time an information bearing signal is applied to the phase port of the non-linear PA, the RF output signal has been fully ramped up.  
         [0054]     By using a non-linear PA, performance variations between production units are predictably small, with the result that the kind of unit-by-unit ramping calibration necessitated in the prior art may be eliminated, an important advantage.  
         [0055]      FIG. 16  illustrates application of the foregoing ramping technique for GMSK in a conventional I/Q architecture having a single signal path combining amplitude and phase information. In this embodiment, the PAM/FM combination of the embodiment of  FIG. 15  are replaced by a GMSK complex envelope generator  1601 , a multiplier  1602  and an I/Q modulator  1603 . A timing controller  1613  receives a Start Burst signal  1615  and generates timing signals for the ramp generator and for the GMSK complex envelope generator. In particular, the ramp generator and the GMSK complex signal generator are activated such that by the time an information bearing signal is applied to the multiplier  1602 , the output signal of the ramp generator has completed a ramp-up portion.  
         [0056]     The output r(t) of the ramp generator of the foregoing embodiments is shown in  FIG. 17 . The start of a burst corresponds to time t=0, at which time ramping up begins. Ramping up is complete at time t=2.5T, whereupon a “ramped-up” state begins during which information bits are transmitted. At the end of the ramped-up state, a “ramp-down” signal is generated, at a time designated as t=u. The ramp-down state continue until time t=u+2.5T. The output r(t) may therefore be expressed as:  
         r   ⁡     (   t   )       =     {               ⁢       p   ⁡     (   t   )       ,                 ⁢     0   ≤   t   ≤     2.5   ⁢   T                       ⁢       p   ⁡     (     2.5   ⁢   T     )       ,                 ⁢       2.5   ⁢   T     ≤   t   ≤   u                   p   ⁡     (       2.5   ⁢   T     +   t   -   u     )       ,           u   ≤   t   ≤     u   +     2.5   ⁢   T                     
 
         [0057]     The duration of the ramped-up state may be defined in a digital logic implementation using a programmable counter, as is apparent to those skilled in the art of digital logic design. Upon expiration of the counter, the ramp-down signal is enabled. Similarly, counters may be used in a simple state machine to generate the indices t and u to be used in looking up values of p(t) used to define r(t). Other means providing equivalent signals r(t) may be used as well.  
         [0058]     Instead of storing p(t) values directly on chip, a savings in area may be obtained by instead storing the N th -order differences of the sequence of values. To “recall” the original sequence of values, their N th -order differences are recalled and processed using an N th -order accumulator, the outputof which is the sequence of original values.  
         [0059]     Ramping for GMSK signals when performed in the foregoing manner is “temporally compact;” i.e., ramp-up and ramp-down occur as quickly as possible consistent with spectral requirements.  
         [0060]     The description thus far has described advantageous ramping techniques for varying-envelope signals such as EDGE and D-AMPS and constant-envelope signals such as GMSK. The present invention, in another aspect thereof, enables the generation of high-quality signals with good transient spectrum characteristics in which the modulation may switch (between GMSK and EDGE, for example) from slot to slot. This manner of operation is most readily achieved using polar modulation, enabling true multi-mode operation where mode switching is done on-the-fly, in real time.  
         [0061]      FIG. 18  shows a polar modulator architecture like that of  FIG. 12 , modified for multi-mode operation. In particular, in addition to the EDGE QAM modulator of  FIG. 12 , a D-AMPS QAM modulator  1802  and a GMSK PAM modulator  1804  are also provided, each receiving symbols from the symbol source  1801  in accordance with the sample clock  1805 . A GMSK ramp generator  1710  like that of  FIG. 15  and  FIG. 16  is also provided.  
         [0062]     Moreover, three switches are provided, controlled by the timing generator. One switch SW 1  is provided at the input of the R/P converter and selects between outputs of the EDGE QAM modulator (EDGE mode) and the D-AMPS QAM modulator (D-AMPS mode). Another switch SW 2  is provided at the input of the AM/AM LUT and selects between an output of the R/P converter (non-GMSK mode, i.e., EDGE or D-AMPS) and an output of the GMSK ramp generator (GMSK mode). Another switch SW 3  is provided at the input of the AM/PM LUT and selects between an output of the R/P converter (non-GMSK mode, i.e., EDGE or D-AMPS) and an output of the GMSK PAM modulator (GMSK mode).  
         [0063]     The transmitter of  FIG. 18 , like that of  FIG. 12 , is mainly digital, the digital and analog portions being separated by a dashed line. Preferably, the digital portion is realized in the form of a single integrated circuit, for example a CMOS integrated circuit.  
         [0064]     The characteristics of the ramping profile achieved in accordance with the present invention allow various power amplifier control signals to be abruptly switched during such low-amplitude times without performance degradation. An example of the interaction between ramping and overall control of a non-linear power amplifier in a polar modulation architecture will be described with reference to  FIG. 18 .  
         [0065]     Signals PB, P 1  and Pout are used to power on and power off the buffer amplifier  1833 , the first and second power amplifier stages  1820   a  and  1820   b,  and the driver circuit  1825 , respectively. The timing of these signals relative to the rising edge ramp and falling edge ramp is important to control, in order to obtain good transient spectrum performance (little or no glitching caused by poorly-timed turn-on or turn-off effects). As previously described, the desired ramping amplitude characteristics may be obtained from the amplitude of a modulator&#39;s output (e.g., a QAM modulator as in EDGE) or from a ramp generator (e.g., as in GMSK). Additional timing logic is provided to generate PB, P 1  and Pout as required. The implementation of such logic will be clear to those skilled in the art from the timing diagram of  FIG. 19 , showing the desired relationship between these signals and others previously described. Whereas  FIG. 19  illustrates the example of GMSK, similar relationships hold between the signals PB, P 1  and Pout and the timing signals of the EDGE example (e.g., the signal or counter used to control the input selector).  
         [0066]     Referring now to  FIG. 19 , it may be seen that amplifiers turn on sequentially and turn off in the reverse sequence, according to their order ( FIG. 18 ) between the frequency modulator and the RF output. To achieve the highest quality signal, the switching points for PB, P 1  and Pout should be selected to correspond to low amplitude times in r(t), so that the associated switching transient is small. Optionally, the wasting of power may be avoided by minimizing the “on” time of each of the signals PB, P 1  and Pout. This objective may be achieved, as illustrated in  FIG. 19 , by not switching PB, P 1  and Pout on until r(t) is already non-zero on the ramp up, and by switching the same signals off before r(t) has reached zero on the ramp down.  
         [0067]     Beyond the general timing relationships illustrated in  FIG. 19 , in any particular implementation, more exact timing relationships may be adjusted empirically to optimize transient spectral performance and temporal compactness. This process may be facilitated using “soft” or programmable timing logic, and need be done only once for a given implementation (not re-done for every unit during manufacture).  
         [0068]     Thus there has been described a polar modulator architecture, amenable to a high level of integration, that enables ramping of both QAM (e.g., EDGE, D-AMPS) and non-QAM (e.g, GMSK) signals, and enabling glitch-free on-the-fly switching between different modulations (e.g., EDGE and GMSK). No unit-by-unit calibration is required, allowing ramp shapes to be fixed at design time. Timing control signals can also be fixed at design time, since they relate mainly to digital events or conditions. The particular ramping methods described produce narrow rising and falling edge ramps and very low transients (i.e., very good transient spectrum characteristics).  
         [0069]     It will be appreciated by those of ordinary skill in the art that the invention can be embodied in other specific forms without departing from the spirit or essential character thereof. The presently disclosed embodiments are therefore considered in all respects to be illustrative and not restrictive. The scope of the invention is indicated by the appended claims rather than the foregoing description, and all changes which come within the meaning and range of equivalents thereof are intended to be embraced therein.