Vibrator Seismic Source Having Distortion Limiting Control System

1. Field of the Invention

This invention relates to vibrator seismic sources having feedback control, and more specifically to seismic sources having feedback control in which the fundamental signal in the feedback is compared with a pilot signal and drive signal adjusted accordingly, and in which the distortion in the feedback signal is subtracted from the feedback signal and the drive signal reduced accordingly.

2. Description of the Prior Art

Prior art vibrators detect phase differences between the vibrator motion and a pilot signal. The phase of the control signal for controlling the vibrator is shifted in phase to coincide with that of the pilot signal.

In more recent times, vibrator seismic sources have included means for examining amplitudes as well as phase. In these prior art systems, the drive signal is increased in amplitude to increase fundamental acoustic energy. However, often the system is driven further into a nonlinear region. Furthermore, there is an accompanying increase in the harmonic distortion. Systems which compare peak amplitude of the feedback signal to the pilot signal, or which monitor force to determine when a decoupling of the pad from the ground is imminent do not take into account the distortion present in the force imparted to the ground.

The present invention acts upon the component parts of the force applied to the ground. That is, the fundamental signal and the distortion are separately treated rather than depending upon the entire signal itself. By so doing, the distortion is not inadvertently increased by increasing the drive to the vibrator and any increase or decrease in drive, when distortion is not a significant factor, is closely controlled because of the use of the fundamental signal.

A seismic vibrator source has a sweep generator for providing a pilot signal and a sensor arrangement for detecting the force imparted to the ground by the vibrator. The sensor arrangement provides a feedback signal representative of the ground force, such signal containing a fundamental signal and accompanying distortion.

Miller and Pursey, in a paper entitled "Field and Radiation Impedance of Mechanical Radiators on the Free Surface of a Semi-Infinite Isotropic Solid", dated November, 1953, disclosed the finding that surface stress introduced at the surface of a homogenous body is related to far field particle motion. That is, a force applied to the surface is directly related to far field motion. Therefore, the total ground force that introduces distortion causes that distortion to spread out into the ground, along with the fundamental signal, indicating the undesirability of any distortion being introduced. Hence, with an introduction to the surface of only the fundamental signal, seismic probing is enhanced.

This invention provides a mechanism for removing the distortion and the fundamental signal from the ground force signal. In this preferred embodiment, a pair of accelerometers, one attached to the mass of the vibrator and the other to the pad, have their outputs combined to form a feedback signal representative of the ground force. Ideally, this force is the fundamental signal only. In practice, there is harmonic distortion present along with the fundamental. In this preferred embodiment, apparatus is provided for removing the fundamental, changing it into an analog value representative of the root means square (RMS) value of the fundamental signal, digitizing and entering an amplitude compensator system in a digital computer. The feedback signal, containing both the fundamental signal and the harmonic distortion also is converted to its RMS value, digitized, and sent to the amplitude compensator. The amplitude compensator, by squaring the feedback RMS and the fundamental RMS, differencing the squares, taking the square root and then dividing by the fundamental, provides the total harmonic distortion. A sweep generator, including a digital envelope generator and analog circuitry, provides a variable sweep with a variable amplitude. The output of the envelope generator is combined with the fundamental digital representation to provide an increased or decreased digital indication of a control signal. Also, the distortion digital indication subtracts from the digital control signal. The digital control signal is synthesized into an analog wave that is utilized in the system to produce a drive signal appropriately altered to provide a ground force with minimum harmonic distortion.

The system also includes phase compensation, with the preferred embodiment being fully described and claimed in copending patent application Ser. No. 435,125 filed Oct. 18, 1982 entitled "Seismic Vibrator Source Having Improved Phase Detector" and filed on even date herewith.

An object of the invention is to compare the fundamental frequency component of the feedback signal of a seismic vibrator source with a pilot signal to determine drive signal amplitude.

Another object of the invention is to subtract the distortion from the algebraic sum of the fundamental and pilot signals of a seismic vibrator source.

A further object of the invention is to provide a feedback system for a seismic vibrator source that will not overdrive the system into excessive harmonic distortion.

These and other objects will be made evident in the detailed description that follows.

FIG. 1 is a side view of the seismic vibrator source mounted on a truck.

FIG. 2 is a block diagram of the feedback system.

FIG. 3 is a simplified diagram illustrating the single sideband shifting circuitry.

FIGS. 4a and 4b together schematically illustrate a portion of the single sideband shift network for the feedback signal.

FIGS. 5a and 5b schematically illustrate a portion of the single sideband shift circuitry for the pilot signal.

FIGS. 6a-6d joined as shown illustrate another section of the single sideband shifting network.

FIGS. 7a-7c, joined as shown, illustrate schematically still another portion of the single sideband shift network.

FIG. 8 schematically illustrates a digital alternative for continuous phase detection.

FIGS. 9a and 9b together schematically illustrate development of the feedback RMS and the fundamental RMS voltage levels.

FIGS. 10a and 10b together schematically illustrate the phase detector of this invention.

FIG. 11 illustrates waveforms relating to the timing of a single sideband shifting network.

FIG. 12 illustrates timing signals involved in the phase detector.

FIG. 13 schematically illustrates the digital development of the distortion to fundamental ratio.

FIG. 14 illustrates the digital development of the control signal.

FIGS. 15a-15d form a flow chart describing the digital amplitude correction.

FIGS. 16a-16c form a flow chart describing the digital phase compensation.

Referring first to FIG. 1, a vehicle 10 having front and rear wheels 12 and 14, respectively, supports a chassis comprised generally of frame channels 16, a cab 18, and a conventional engine 20. The feedback circuit of this invention is primarily located within cab 18 and is not shown in FIG. 1. Vibrator assembly 24 is disposed between the front and rear wheels and connected to the frame members 16 of the truck by a lift system 26. A prime mover or engine 28, main hydraulic pump 30, high pressure accumulator system 32, hydraulic fluid tank 36, hydraulic tank cooler 38 and associated hydraulic plumbing may be located on the frame members 16 as shown.

FIG. 2 illustrates the combination of summer 59, power amplifier 57, servo valve motor 58, servo valve 51, mass 54, pad 40, linear variable-differential transducers 52 and 55, and feedback 61. This combination is in the prior art as described in U.S. Pat. No. 3,929,206, entitled "Servo Hydraulic Transducer and Method of Operation" assigned to the assignee of this invention and incorporated herein by reference. Accelerometers 53 and 56 are attached to the mass 54 and pad 40 respectively and are summed in conventional summing amplifier 62. Switch 63 enables the selection of the mass accelerometer output, the pad accelerometer output, or the addition of the two outputs. Any of these three signals then form the feedback signal which passes into single sideband (MOD 2) 68, the output of unit 68 being a single sideband signal increased by the frequency of a local oscillator, which in this preferred embodiment operates at 2 KHz. The output from unit 68 goes to multiplier 72 and to phase detector 78.

Amplitude compensator 75, phase compensator 81 and envelope generator 65 are modules within a TI 99000 microprocessor chip which, together with appropriate memory, forms a microcomputer. The envelope generator 65 provides digital words indicative of the contour of the desired amplitude envelope. Also provided by the computer is a digital word relating to instantaneous frequency. The output of the envelope generator 65 provides inputs to analog wave synthesizer 66. Analog wave synthesizer 66 is known in the prior art and is described in detail in U.S. Pat. No. 3,979,715, entitled "Method and System for Achieving Vibrator Phase Lock", assigned to the assignee of this invention and incorporated herein by reference. There it is shown that the analog wave synthesizer comprises a binary rate multiplier, binary counters, a read-only memory, and a D to A converter. The output of analog wave synthesizer 66 is the pilot signal which enters single sideband (MOD 1) 67 and is increased in frequency by 2 KHz, in this preferred embodiment. The ouput of unit 67 provides an input to phase detector 78 and an input to multiplier 72. The multiplication of the feedback single sideband signal by the squared single sideband pilot signal yields the fundamental signal. The fundamental signal is input to RMS converter 73 which provides a voltage level indicative of the RMS value of the input fundamental signal. RMS converter 73 and RMS converter 69, in this preferred embodiment, are type AD536ASD/883B, manufactured by Analog Devices. The output from RMS converter 73 is input to A/D converter 74 whose output goes to amplitude compensator 75. The output from RMS converter 73 also provides an input to a meter available for inspecting the RMS value of the fundamental signal. The output from unit 68 provides an input to RMS converter 69 whose output represents the RMS value of the feedback signal which is then digitized through A/D converter 71 and input to amplitude compensator 75. Amplitude compensator 75 provides an input to multiplier 76 whose other input comes from envelope generator 65 through summer 82. Amplitude compensator 75, as will be shown, provides a digital output for altering the output of envelope generator 65 to provide an amplitude digital indicator representing the pilot signal modified by the amplitude of the fundamental signal and by the distortion. This digital information is presented to analog wave synthesizer 77 which is in the prior art and substantially identical to analog wave synthesizer 66 to provide a control signal through summer 59 to power amplifier 57 which provides a drive signal for driving the servo valve 51 to move the hydraulic unit, mass 54 and pad 40 so that the feedback signal is equal in amplitude to the pilot signal. This broad description is of the amplitude compensation and following is a broad description of the phase compensation.

Phase detector 78 having inputs from units 67 and 68 provides a phase difference output to phase compensator 81 through A to D converter 79. The output of phase compensator 81 is summed with a digital word indicative of an instantaneous frequency from envelope generator 65 at summer 82. This frequency change, if any, is reflected through the analog wave synthesizer 77 to provide the control signal for ultimately providing a feedback signal in phase with the pilot signal.

FIG. 3 shows a filtered feedback signal and a filtered pilot signal entering units 67 and 68, respectively. Since the units are identical, the detailed description will relate to the pilot signal for this figure and following figures, with it being understood that the circuitry, unless otherwise specified, is identical for the feedback signal.

The filtered pilot signal enters 90 degrees phase differential unit 13 having a cosine output which is multiplied at 19 by cosine W.sub.o t, a signal from a local oscillator to be described later. A sine wave from unit 13 is multiplied at 21 by the sine W.sub.o t which is summed at 25 with the product from multiplier 19, providing a single output to limiter 29 for squaring the output to phase detector 78. The feedback signal is treated in the same fashion and also inputs phase detector 78.

FIGS. 4a and 4b, joined as shown, schematically illustrate the 90 degree phase differential unit 11 for the feedback signal.

FIGS. 5a and 5b, joined as shown, schematically illustrate the 90 degree phase differential unit 13 for the pilot signal. Pilot high and pilot low signals are shown connected to the negative and positive terminals of operational amplifier 91, respectively. In this preferred embodiment, a dual signal, such as pilot high and pilot low, is employed when moving from one location to another as, for example, from one chip to another. For purposes of transmission, the dual line is used and is single ended by the operation of amplifier 91. Operational amplifier 91 provides an input to a low pass filter made up of operational amplifiers 92 and 93 and the associated components as shown. This low pass filter rolls off at approximately 400 Hz to remove any unwanted harmonic frequencies. It should be noted that in FIGS. 4a and 4b, no such low pass filter is shown. However, such filtering is performed on the feedback signal and is simply not illustrated in these drawings. The filtering is identical to that described for the pilot signal.

The output from operational amplifier 93 provides an input to operational amplifier 94 via resistor R28 and to operational amplifier 95 via resistor R30. The positive input to amplifier 94 is provided by analog ground and impressed through resistor R29. The positive input to amplifier 95 is provided by analog ground impressed through resistor R31. Capacitors C28 and C29 are connected between the output of amplifier 93 and the positive inputs to amplifiers 94 and 95, respectively. The output of amplifier 94 is connected through series capacitors C98 and C106 and through resistor R34 to the negative terminal of operational amplifier 96. Analog ground is impressed through resistor R40 to the positive terminal of amplifier 96. The output of amplifier 96, through resistor R46, provides the signal "PILOT SIN".

The output of amplifier 95, through series capacitors C24 and C26, and through resistor R35 is impressed on the negative terminal of amplifier 97. Analog ground is provided through resistor R118 to the positive terminal. The output of amplifier 97, through resistor R49, is impressed on the negative input of amplifier 98, whose positive input is grounded through resistor R50. The output of amplifier 98, through resistor R60, provides the signal "PILOT COS". Reference to FIGS. 4a and 4b illustrate the identical circuitry with amplifier 84 providing signal "FB SIN" on terminal T13 and amplifier 86 providing signal "FB COS" on terminal T14. Signal "PILOT SIN" is impressed on terminal T11 and signal "PILOT COS" is impressed on terminal T12.

All of the amplifiers discussed in the above detailed description are type TL084MJ manufactured by Texas Instruments.

FIGS. 6a-6d, joined as shown, illustrate the necessary circuitry for performing the multiplies done by multipliers 15, 17, 19 and 21 of FIG. 3, and the summation of the products. A system clock, from the microcomputer, at approximately 16 MHz, is inverted through inverter 104 and impressed on one input of dual 4-bit binary counter 102, a Texas Instruments type LS393. Output terminal 2Q is connected to the 2CLK terminal of flip-flop 101. The 2Q output of flip flop 101 provides the 1CK input to flip-flop 105 and the negative input to terminal 1A of dual monostable multivibrator 106.

Four bit up/down synchronous counters 116 and 115 are Texas Instruments Type LS169. The RCO terminal of unit 116 is connected to the ENAP terminal of unit 115. The 2Q output of flip flop 105 is signal SIN-/COS which provides the CK input to units 115 and 116 and the A7 cosine or sine select input to memory 118.

Outputs from terminals QA, QB, QC and QD of counter 116 and from terminals QA and QB of counter 115 provide selection inputs to memory terminals A1, A2, A3, A4, A5 and A6, respectively. of memory 118. Sixty four segments of 2 KHz sine and cosine waves are stored in memory 118 and are brought out on terminals D1-D8 to terminals bit 8-bit 1 of multipliers 111 and 119, respectively.

Signals PILOT SIN, PILOT COS, FB SINE AND FB COS are brought in on terminals T11-T14, respectively, to terminals S3, S4, S1, and S2 of switch 114, a type AD7512 DIDT/8838 from Analog Devices. FB SIN or FB COSIN is carried on line 201 to terminal VREF of unit 119. PILOT SIN or PILOT COS is carried on line 202 to terminal VREF of unit 111.

Amplifiers 112 and 113, together with unit 111 and associated circuitry, is a four quadrant multiplier and, in this preferred embodiment, is from Analog Devices which provides a D to A conversion and a multiplication to yield the signal "PILOT ANALOG" impressed on terminal T17. Amplifiers 121 and 122, together with unit 119, form an identical D/A-multiplier combination providing signal "FB ANALOG" at terminal T18.

NAND gate 107 has one input, signal SIN-/COS, from the 2Q terminal of flip flop 105 and the other input from terminal 1Q of one-shot 106. The output of one-shot 106 also provides one input to NAND gate 108. The 1Q output of flip flop 105 is connected to the 1D input to that unit and also provides the other input to NAND gate 108. The outputs of NAND gates 107 and 108 are signals COS HOLD- and SIN HOLD- impressed on terminals T15 and T16, respectively.

Referring to FIGS. 7a-7c, the input signals COS HOLD is impressed on terminal S/H of each of sample and hold circuits 123 and 125. Signal SIN HOLD- is impressed on the S/H terminal of each sample and hold circuits 124 and 126. These sample and hold circuits, in this preferred embodiment, are type AD583K from Analog Devices.

The pilot analog signal is impressed on the IN+ terminals of units 123 and 124 while the FB analog input is impressed on terminals IN+ of units 125 and 126. The pilot analog signal is gated out of units 123 and 124 by either the COS HOLD- or SIN HOLD- signals to the negative terminal of amplifier 127 whose output, through capacitor C92 and resistor R74, is impressed on the negative input of amplifier 131. The output of amplifier 131, because of its biased positive input, is a squared pilot signal impressed on terminal T21.

The FB analog signal is gated out of units 125 and 126 by either the COS HOLD- or SIN HOLD- signals to the negative terminal of amplifier 129 whose output is signal FB SSB (feedback single sideband) impressed on terminal T20. This signal is also impressed on terminal S2 of analog switch 72 (switch as a multiplier in FIG. 2). The output of amplifier 131 of FIG. 7c is connected to line 202 which provides the input to terminal A1 of analog switch 72. The multiplication of this squared wave with the signal FB SSB yields the signal FB HETERODYNED at terminal T19. The squared pilot and squared FB signals at terminals T21 and T22 are input to the phase detector 78.

FIG. 8, in block form, illustrates a digital alternative 140 to the preferred embodiment single sideband shift and phase detect technique described above. The pilot signal p(t) is input to A/D converter 141 whose output is signal P(n.DELTA.t) providing an input to each of digital filters 143 and 144. The output of digital filter 143 is signal pa(n.DELTA.t) and the output of digital filter 144 is signal pb(n.DELTA.t), both input to module 45 of the digital computer. As indicated, digital computer 145 calculates phase B(n.DELTA.t) by computing arctan pa(n.DELTA.t)/pb(n.DELTA.t). The difference between phase B(n.DELTA.t) and A(n.DELTA.t) (from an identical structure for the feedback signal) are differenced at unit 147, also a part of the computer, to provide a digital representation of phase difference. The digital filters are designed to satisfy the equations: ##EQU1##

Coefficient Fa(j) and Fb(j) are selected to produce a 90 degree phase difference in the signals pa(n.DELTA.t) and pb(n.DELTA.t).

Digital filters 143 and 144 could also be implemented, as is well known, in the digital computer. FIGS. 9a and 9b show the FB HETERODYNED signal from terminal T19 (which is the fundamental signal) applied through capacitor C4 to terminal VIN of RMS converter 73. Signal FB SSB from terminal T20 is shown impressed, through capacitor C3, on terminal VIN of RMS conerter 69. Circuits for signals FB SSB and the fundamental are identical and the circuitry for signal FB SSB shall be described. The OUT terminal of unit 69 provides an input to the positive terminal of amplifier 152, and through resistor R12 to the negative terminal of amplifier 151. The output of amplifier 151 is signal FB RMS LO and the output of amplifier 152 is signal FB RMS HI. In exactly the same signal development, signal FUND RMS LO is output from amplifier 153. Amplifier 154 provides output signal FUND RMS HI. These signals, as mentioned earlier, are double ended because of an exit transmission requirement and are brought together in the digital computer component amplitude compensator 75.

FIG. 10a is a schematic diagram of a prior art phase detector circuit with input signals squared FB and squared PILOT. No detailed description is required but waveforms will be discussed in connection with the mode of operation. Suffice it to say at this point that NAND gate 163 provides output signal LEAD ERR and NAND gate 164 provides signal LAG ERR. These signals are input to terminals A1 and A2, respectively, of analog switch 165, a type AD7511DIDT/883B from Analog Devices. Terminal S1 or terminal S2 will provide an output, depending upon whether it is a LEAD ERR or LAG ERR to drive amplifier 167. Amplifier 167 in turn drives amplifiers 168 and 169 to provide a doubled ended output signal for ERROR LO and ERROR HI. These signals are applied to the phase compensator 81 of the digital computer.

Turning now to FIG. 13, the digitized feedback signal is shown as "p" and the digitized fundamental signal is shown as "Q". Signal P is squared at multiplier 171 and signal Q is squared at multiplier 172. The difference between these squares is taken at summation 173 and the square root is taken at 174 to provide, at 175, the ratio of the distortion to the fundamental signal shown as D/Q at terminal T23. A digital fundamental signal Q is provided at terminal T24.

FIG. 14 illustrates envelope generator 65 providing an input to summation point 176. The fundamental digital representation from terminal T24 also provides an input at 176. The ratio of distortion to fundamental from terminal T23 is summed at 179 with a predetermined threshold level. The output of summation 179 is sent to limiter 178 to prevent any negative entry and also to limit the positive amplitude, the output of limiter 178 also being summed at 176. The summed output from 176 enters loop filter 177 which is an integrator for controlling the loop. The output of loop filter 177 is limited through limiter 181 to prevent any negative output. At multiplier 76, the output from limiter 181 is multiplied with the VCO output from analog wave synthesizer 77 to provide a digital representation of the control signal which, by way of unit 77, is output as an analog signal to the power amplifier 57 shown in FIG. 2.

For this discussion, please refer continually to FIG. 2, as well as to those figures specifically referenced.

Referring to FIG. 2, the output signals from accelerometers 53 and 56 are summed in summation amplifier 62 and then selected by switch 63 as to mass accelerometer 53, pad accelerometer 56, or the weighted sum of the two from amplifier 62. The selected signal is the feedback signal which is single sideband shifted by unit 68 and output to RMS converter 69 and multiplier 72. The RMS value of the total feedback signal is provided out of RMS converter 69 and the fundamental RMS value is provided out of RMS converter 73. These signals are digitized in A to D converters 71 and 74, respectively, and sent to the amplitude compensator 75.

Referring now to FIG. 6a, please note that signals A-G are shown at selected points. FIG. 11 shows the various waveforms at those points. Signal A is shown as a square wave for clocking flip-flop 101. Signal B, the output of flip-flop 101, as expected, is at one half the frequency of signal A. Signal C, the output from flip-flop 105, is again halved in frequency to provide the output signal SIN-/COS. Signal D is the inverse of signal C. The output of one shot 106 is signal E. The output of NAND gate 107 is signal F and the output from NAND gate 108 is signal G. Signal F is COS HOLD- and signal G is SIN HOLD- which are used for gating the sample and hold circuits described earlier.

The outputs from counters 115-116 of FIG. 6c are shown and the outputs from memory 118 are shown (as either sine or cosine). These signals then illustrate the operation of the timing for the single sideband shift network.

Refer now to FIGS. 10a and 12 where various signals are shown in the prior art phase detector. Signals H-N on the upper half of the drawing illustrate a LEAD ERR while the lower signals I, H, J, K, L, M and O illustrate the LAG ERR situation. Signal H is the squared FB and signal I is the squared PILOT signal. The output of exclusive OR gate 155 is represented by signal J which is twice the frequency of signals H or I and is triggered by the leading one of those two signals. Signal K is the output from one shot 159 and signal L is the clock input to flip flop 162. Note the difference in time occurrence between signal K above and signal K below. Signal M is the output one shot 221 and the K input to flip-flop 162. Q and Q-outputs from flip-flop 122 are signals N and O. Note that signals N and O are the inverse of each other, as would be expected to signify a LEAD or LAG error.

FIGS. 15a-15d illustrate the operation the amplitude compensator 75 of FIG. 2. Please note that Table 1 is the computer program that makes up this flowchart illustrated in FIGS. 15a-15d. The various components of the flowchart are clearly set out in Table 1, detailing the flowchart symbols. Referring to FIG. 15a, the total harmonic distortion is calculated and there is an output to the meter as shown in FIG. 2 from amplitude compensator 75. A determination is made as to whether the envelope switch is on and if not, the envelope switch equals off and the drive level equals drive level pot. If the envelope switch is on, the spline word is reformatted. The spline word defines a point on the envelope of the envelope generator. Then the drive level is made to equal a spline word, and the determination is made as to whether the spline word is less than the low limit. If it is not, then the envelope switch is on. If it is, then the envelope switch is off. Next, the high/low equals low determination is made. If the answer is yes, then the drive level is divided by two, for some reason such as proximity to a building. If the answer is no, then a determination is made as to whether the envelope switch is on. If the answer is yes, then it is determined whether the total harmonic distortion (THD) is over the high limit. If the answer is yes, then the drive level equals the level minus the high limit. If the answer is no, then the determination is made whether the THD is less than the low limit. If the answer is no, then the drive level is made equal to the drive level minus the THD. If the answer is yes, fundamental RMS is converted to a peak. The signal DR level minus THD is also converted at that point. Then the DR level equals the DR level minus the fundamental and the DR level equals DR level multiplied by the gain. The drive integral is set to equal the drive integral plus drive level and it is determined whether the drive integral is greater than the integral HI. If the answer is yes, the drive integral is set equal to integral and if the answer is no, it is determined whether the drive integral is less than the integral LO. If the answer is yes, the drive integral is made equal to integral LO. If the answer is no, the envelope control word is made equal to the drive integral. That also is true when the drive integral is equal to the integral HI or equal to the integral LO. This condition is also met when the envelope switch is off. In this way, the amplitude is adjusted.

FIGS. 16a-16c from a flowchart illustrating control of the phase compensation performed in phase compensator 81 of FIG. 2. It should be noted that the details of the decision blocks of the flowchart on FIG. 16a-16c are shown in the program listing of Table II. For minute detail of these blocks, please refer to Table II.

On FIG. 16a, the question "Is phase compensation switch on?" is asked. If the answer is no, there will be no phase compensation. If the answer is yes, the cycle count is obtained and it is determined whether this is within the preset interval. If the answer is yes, the routine is exited. If the answer is no, it is determined whether the pilot frequency is in range 1. If the answer is yes, it is determined whether the frequency range 1 flag is set. If the answer is yes, then the routine shown in FIG. 16b is skipped and an entry is made to the block that refers to calculate digital filter output.

If the answer was no with respect to when the pilot frequency was in range 1, then a decision is made whether the pilot frequency is in range 3. If it was determined that the frequency range 1 flag was set, then the digital filter for range 1 is calculated and the range 1 flag is set.

If the pilot frequency is in range 3, then it is determined whether the frequency range 3 flag is set. If the pilot frequency is not in range 3, then the digital filter for range 2 is calculated and the range 2 flag is set. If the frequency range 3 flag is not set, then the digital filter for range 3 is set and the range 3 flag is set. For all active cases then, the next step is to calculate the digital filter output and then to calculate the VCO output (see FIG. 14). Next, the VCO output is limited and stored and the routine is exited.

In this manner, the phase compensation is accomplished.

The component types shown in this preferred embodiment and the particular circuit or filter configurations are not to be construed as limiting. It is understood that those skilled in the art are capable of changing configurations and timing and it is intended that this specific implementation not be limiting, but that the invention be limited only by the appended claims.