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AM-FM laser    
United States Patent4846571   
Link to this pagehttp://www.wikipatents.com/4846571.html
Inventor(s)Jelalian; Albert V. (Bedford, MA); Keene; Wayne H. (South Natick, MA); Freedman; Nathan (West Newton, MA)
AbstractA laser is provided for generating a beam of continuous wave (CW) electromagnetic energy having a nominal frequency and amplitude. The frequency of the CW beam is modulated (FM) from the nominal frequency. The amplitude of the frequency modulated beam is modulated (AM) from the nominal amplitude to produce an amplitude and frequency modulated continuous wave (AM-FM CW) beam of energy. A local oscillator beam is produced from the frequency modulated CW beam. The AM-FM CW beam is directed for reflection by a target. The target-reflected return portions of the AM-FM CW beam are combined with the frequency modulated local oscillator beam to produce a beat frequency signal which is subsequently detected, the beat frequency signal having a frequency component representative of the range of the target. Such arrangement, when implemented in a radar system, provides such radar system with accurate target range measurements unambiguous over large ranges. Further, such AM-FM CW signal provides high resolution between target-reflected return signals of such AM-FM CW signal and returns from near-field atmospheric clutter.
   














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Drawing from US Patent 4846571
AM-FM laser - US Patent 4846571 Drawing
AM-FM laser
Inventor     Jelalian; Albert V. (Bedford, MA); Keene; Wayne H. (South Natick, MA); Freedman; Nathan (West Newton, MA)
Owner/Assignee     Raytheon Company (Lexington, MA)
Patent assignment
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Publication Date     July 11, 1989
Application Number     06/929,572
PAIR File History     Application Data   Transaction History
Image File Wrapper   Patent Term   Fees
Litigation
Filing Date     November 3, 1986
US Classification     356/5.09 356/28.5
Int'l Classification     G01C 003/08 G01P 003/36
Examiner     Buczinski; Stephen C.
Assistant Examiner     Wallace; Linda J.
Attorney/Law Firm     Maginniss; Christopher L. Sharkansky; Richard M. ,
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Priority Data    
USPTO Field of Search     356/4 356/5 356/4.5 356/28.5 332/7.51 342/130 342/132 372/26 372/28 372/31 372/32
Patent Tags     am-fm laser
   
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What is claimed is:

1. In combination:

means for generating a continuous wave beam of electromagnetic energy;

means for modulating the frequency of the continuous wave beam of energy;

means for splitting the frequency-modulated continuous wave beam of electromagnetic energy into a pair of beams;

means for modulating the amplitude of a first one of the pair of frequency modulated continuous wave beams and for directing said amplitude and frequency modulated continuous wave beam for reflection by a target;

means for combining a second one of the pair of frequency modulated continuous wave beams with target-reflected portions of the amplitude and frequency modulated beam to produce a beat frequency signal; and

means for detecting the beat frequency signal.

2. The combination of claim 1 wherein the continuous wave beam generating means comprises a laser, said laser comprising a resonant cavity having a first length, the continuous wave beam having a first frequency corresponding to the first resonant cavity length, wherein the frequency modulating means comprises:

means, responsive to a control signal, for changing the resonant cavity length to a second length, with the frequency of the continuous wave beam changing from the first frequency by an amount corresponding to the change in resonant cavity length.

3. The combination of claim 2 wherein the amount of frequency change from the first frequency is at least one order of magnitude less than said first frequency.

4. The combination of claim 2 wherein the control signal is a continuous, periodic signal.

5. The combination of claim 1 wherein the first one of the pair of frequency modulated continuous wave beams of electromagnetic energy has a first amplitude and wherein the amplitude modulating means comprises an electro-optic crystal means, the first one of the pair of beams of energy being coupled therethrough, for changing the amplitude of the first one of the pair of frequency modulated continuous wave beams coupled therethrough to a second amplitude in accordance with a control signal.

6. The combination of claim 5 wherein the control signal is a continuous, periodic signal.

7. The combination of claim 5 wherein the electro-optic crystal comprises Cd-Te.

8. The combination of claim 1 wherein the splitting means comprises a beamsplitter.

9. In combination:

means for generating a continuous wave beam of electromagnetic energy having a first frequency and a first amplitude;

means for modulating the frequency of the continuous wave beam of electromagnetic energy to a second frequency;

means, responsive to the frequency modulated continuous wave beam of electromagnetic energy, for producing a local oscillator beam;

means for modulating the amplitude of the frequency modulated continuous wave beam of electromagnetic energy to a second amplitude to produce an amplitude and frequency modulated continuous wave beam of electromagnetic energy;

means for directing the amplitude and frequency modulated continuous wave beam of electromagnetic energy for reflection by a target; and

means, responsive to the local oscillator beam and to target-reflected portions of the amplitude and frequency modulated beam, for producing a beat frequency signal having a frequency component representative of the range of the target.
 Description Submit all comments and votes
 


BACKGROUND OF THE INVENTION

The present invention relates generally to laser radar systems, and more particularly to continuous wave (CW) laser radar systems.

As is known, CW laser radar systems have a wide variety of applications, one of such applications being to provide range tracking of a target as well as imaging and classification of such target, that is, providing details of the shape of the target to permit such target to be identified. Such application requires the CW laser radar to provide precise target range information. A conventional C laser radar utilized for such application provides amplitude modulation (AM) of the transmitted CW laser beam by passing the CW beam through a modulator, such as an electro-optic crystal, biased with a time-varying signal at the AM frequency. Target range is measured by determining the phase shift of the AM envelope of the target reflected return signal relative to a reference AM envelope signal. Since phase shift measurement accuracy of a few degrees may be conventionally obtained, and since very high modulation frequencies (i.e., on the order of 1 MHz) may be achieved using conventional AM electro-optic crystals, amplitude modulated CW laser radar systems are capable of measuring target range quite accurately.

However, amplitude modulated CW laser radar systems with high AM frequencies have poor target resolution. That is, it is difficult to resolve a selected target from other, unselected targets or from atmospheric clutter such as near-field clutter through the use of amplitude modulation. Such poor resolution is due to the fact that scatterers of energy at different ranges (for example, selected and unselected targets, atmospheric clutter, etc.) will return signals to the radar system which have AM envelopes at different relative phases with respect to the reference AM envelope. Thus, the measured phase shift between the return signals and the reference signal is an average phase shift contributed to by several sources other than the selected target, thereby substantially preventing the selected target from being distinguished from other targets or from atmospheric clutter. Additionally, since the AM frequency is typically selected to be relatively high in order to obtain accurate target range measurements, the AM waveform has a relatively short ambiguous range interval. The AM frequency could be lowered to increase the ambiguous range interval, but the AM waveform would have poorer accuracy and would still have poor target resolution.

Another CW laser radar system utilizes frequency modulation (FM) rather than AM to provide target range information. The CW signal is periodically "chirped" in frequency at a predetermined repetition rate and by a predetermined amount to thereby impose FM on the CW beam. The repetition frequency of the FM modulation (i.e., the FM modulation frequency) is typically much lower than the modulation frequency in conventional AM systems, leading to long ambiguous range intervals. Further, the FM waveform provides relatively high target resolution according to the FM modulation frequency. Thus, the FM radar system is capable of distinguishing a selected target from other targets and from near-field atmospheric clutter. However, due to inherent FM bandwidth and chirp limitations, inaccuracies are experienced in imposing FM on a CW laser beam. Thus, the accuracy to which target range may be measured with an FM-CW laser beam may not be sufficient to provide accurate information on the details of the target, thereby decreasing the probability of measuring target characteristics and/or degrading the capability of the laser radar system to identify and classify the target.

SUMMARY OF THE INVENTION

In accordance with the present invention, apparatus is provided comprising: means for generating a continuous wave (CW) beam of electromagnetic energy; means for modulating the frequency of the continuous wave beam of energy; and means for modulating the amplitude of the frequency modulated continuous wave beam of energy to produce an amplitude and frequency modulated continuous wave beam of electromagnetic energy. With such arrangement, a continuous wave beam of energy is produced having frequency and amplitude modulation imposed thereon, which, when transmitted in a radar system, provides such radar system with accurate target range measurements unambiguous over large ranges. Further, such transmitted AM-FM CW signal provides high resolution between target-reflected return signals of such AM-FM CW signal and returns from near-field atmospheric clutter.

BRIEF DESCRIPTION OF THE DRAWINGS

The foregoing features of the present invention, and the advantages thereof, may be fully understood from the following detailed description read in conjunction with the accompanying drawings wherein:

FIG. 1 is a schematic and block diagram of a preferred embodiment of a laser radar system according to the present invention;

FIG. 2 is a schematic and block diagram of the receiver portion of the laser radar system of FIG. 1;

FIG. 3A-3G illustrate frequency- vs. -time waveforms of the signals at various points in the laser radar system of FIG. 1 and are helpful in understanding the invention; and

FIG. 4 is a schematic and block diagram of a preferred embodiment of a component of the receiver portion of FIG. 2.

DESCRIPTION OF THE PREFERRED EMBODIMENT

Referring to FIG. 1, a preferred embodiment of the amplitude-modulated-frequency-modulated (AM-FM) CW laser radar system 10 of the present invention is shown. AM-FM laser radar system 10 comprises CW laser 20, here a CO.sub.2 laser producing a continuous wave beam of electromagnetic energy having a nominal wavelength (approximately 10.6 .mu.m) and frequency. The output of CW laser 20 is coupled through interferometer section 30, beam expander section 40, a conventional beam scanner section 42 and afocal telescope 44 and transmitted to a target, not shown. Portions of the transmitted beam reflected by such target are received by afocal telescope 44, coupled through scanner 42 and beam expander 40 (which in this direction functions to compress the diameter of the beam), and directed to interferometer 30, where such received portions are combined in a manner to be described with a local oscillator (L.O.) beam, here derived from CW laser 20. The combined beams are applied to detector 50, which produces a beat frequency signal representative of the target range and Doppler velocity. Such beat frequency signal is fed to receiver section 60, where here the range of the target is calculated and applied to utilization device 70, which here comprises a CRT, for imaging the target thereon with sufficient accuracy and resolution to enable an operator to identify the shape of the target with sufficient certainty to "classify" such target. The scanning of the CRT and of scanner 42 are synchronized in a conventional manner by a control signal generated by system controller 100. Alternately, utilization device 70 may comprise a computer which is programmed to automatically classify a target according to the signal coupled thereto from received section 60. To obtain the precise target range information necessary for such target identification and classification, radar system 10 further comprises a frequency modulator (FM) unit 80 and an amplitude modulator (AM) unit 90 to simultaneously produce frequency modulation (FM) and amplitude modulation (AM) on the CW beam produced by laser 20. Receiver section 60 responds in a manner to be described to the frequency modulation on the received portions of the target-reflected AM-FM beam to produce a first signal representative of the approximate range of the target, such first signal having high resolution and relatively long ambiguous range intervals, thereby distinguishing the target from other targets and from atmospheric clutter. The receiver 60 also responds to the amplitude modulation on such received AM-FM beam to produce a second signal representative of the accurate range of the target, such second signal having poor resolution and short ambiguous range intervals. That is, the second signal represents variations in the approximate range of the target. The first and second signals are applied to utilization device 70, which utilizes the second accurate but poorly resolved and ambiguous range signal as a "vernier" on the first inaccurate but highly resolved and unambiguous range signal to provide a target range measurement which is accurate, has high resolution and is unambiguous over long range intervals. System controller 100 synchronizes such received electronic signal with the scanning of scanner 42 in a conventional manner, thereby allowing the highly resolved and unambiguous range signal to be displayed on a CRT-type screen to allow an operator to identify the shape of such target precisely enough to determine what the target is (i.e., to "classify" the target), with such target also being resolved from other targets and from atmospheric clutter.

Frequency modulator unit 80 here comprises FM driver 82 and piezoelectric transformer (PZT) 84 controlling the position of one of the end mirrors (not shown) in CW laser 20. FM driver 82 comprises a conventional waveform generator responsive to a signal from system controller 100 here to apply a continuous, periodic electrical control signal, here a triangular waveform having an up-ramp and a down-ramp to PZT 84. PZT 84 responds to such control signal by periodically moving the position of the end mirror of laser 20 coupled thereto, thereby continuously changing the optical length of the resonant cavity of laser 20 from a nominal length in accordance with the shape of the periodic waveform (here triangular) applied to PZT 84. Laser 20 responds to the movement of PZT 84 by changing the frequency of the CW beam produced thereby from the nominal frequency by an amount corresponding to the control signal applied to PZT 84. Thus, here laser 20 resonates at continuously different frequencies and thus periodically modulates the frequency of the CW beam produced by laser 20. Here, the frequency of the CW beam is modulated in triangular modulation pattern corresponding to the shape of the waveform produced by FM driver 82.

The frequency modulated CW beam (FM-CW) is polarized by laser 20 to a predetermined polarization, here linear polarization such as p-polarization, by conventional means, such as by a Brewster plate (not shown) disposed within laser 20. The p-polarized FM-CW beam is directed to interferometer section 30 which comprises beamsplitter 31, Brewster plate 32, quarter-waveplate 33, mirror 34, half-waveplate 35 and beam combiner 36, arranged as shown. Also included in interferometer section 30 is AM unit 90, comprising AM driver 92 and AM modulator 94. Beamsplitter 31 divides the FM-CW beam incident thereon from CW laser 20 into a transmit beam and a local oscillator (L.O.) beam, each beam having a nominal amplitude. The transmit beam is applied to Brewster plate 32 through AM modulator 94, which here comprises a conventional electro-optic crystal such as a Cd-Te crystal. AM driver 92 responds to a signal from system controller 100 to here apply a continuous, periodic electrical control signal, here a sine wave, to AM modulator 94 to vary the indicies of refraction of AM modulator 94 in accordance with such continuous, periodic electrical control signal to produce corresponding changes in the amplitude of the FM-CW beam coupled by AM modulator 94 to a Brewster plate 32, here by attenuating the nominal amplitude of the transmit beam in accordance with such control signal. Thus, AM unit 90 continuously modulates the amplitude of the FM-CW beam applied to Brewster plate 32. The AM-FM CW beam applied to Brewster plate 32 remains p-polarized and thus coupled directly therethrough and is incident on quarter-waveplate 33, which rotates such p-polarized beam to produce right-circular-polarization on the beam coupled to beam expander section 40.

The L.O. beam is p-polarized and reflects from mirror 34 through half-waveplate 35 and is incident on beam combiner 36. Half waveplate 35 rotates the polarization of the L.O. beam incident on combiner 36 from p-polarization to s-polarization for purposes to be described. It is here noted that the L.O. beam may be generated from a separate CW laser, not shown, rather than from CW laser 20. In such case, the separate laser may also be frequency modulated, as is known, such as by FM unit 80. The nominal frequency of the CW L.O. beam may be adjusted to be offset from that of CW laser 20, as is known.

The diameter of the laser beam is increased by beam expander 40, the expanded beam being transmitted toward a target by scanner 42 and afocal telescope 44. Scanner 42 responds in a conventional manner to a control signal from controller 100 to scan the transmitted beam in a predetermined pattern, as is known. Portions of the right circularly polarized, transmitted beam which are reflected by the target are received by afocal telescope 44 and directed to beam expander section 40 via scanner 42 as a left circularly polarized beam. Beam expander section 40 compresses such received portions into a narrow beam and directs the beam through quarter-waveplate 33 onto Brewster plate 32. Quarter-waveplate 33 rotates the polarization of the left-circularly polarized target-reflected beam to s-polarization, which is reflected by Brewster plate 32 onto beam combiner 36. The s-polarized target return beam is mixed with the s-polarized L.O. beam by combiner 36, and the resultant beam directed through lens 49 onto optical detector 50. Optical detector 50 is a conventional photo-voltaic or photoconductive device which produces an electrical output signal in response to the beat frequency between the target-reflected-return beam and the L.O. beam, as is known. In a homodyne system, such as is shown in FIG. 1, wherein the same laser 20 produces the transmitted and L.O. beams, such beat frequency signal will have a frequency component due to the Doppler velocity of the target (f.sub.D) and a frequency component due to target range (f.sub.R) It is noted that if a separate laser is used to produce an L.O. beam having a frequency offset from the CW frequency of laser 20 (i.e., in a heterodyne system), such beat frequency signal will have an additional frequency component corresponding to such offset frequency. The beat frequency signal produced by detector 50 is coupled to receiver section 60 for processing in a manner described below.

Detector 50 also produces a signal representative of the frequency of the L.O. beam and applies such signal to stabilizer 52 to maintain the frequency stability of CW laser 20 by controlling the position of the second end mirror (not shown) with piezoelectric (PZT) stack 54 to thereby adjust the resonant frequency of laser 20 by varying the optical length of the resonant cavity of laser 20, as is known. Here, stabilizer 52 superimposes an AC signal, here having a frequency of 1 KHz, on a DC positioning signal nominally applied to PZT stack 54 by stabilizer 52. Such AC signal dithers the position of the cavity mirror driven by PZT stack 54 in order to scan laser 20 about the center of the selected laser transition line (such as the P-20 line) and generate an error signal to control the amplitude of the DC positioning signal applied to PZT stack 54. This is performed periodically during the operation of system 10 to maintain CW laser 20 at the center of the selected transition. A commercially available unit, such as a Lansing Research Company Model 80214, may be used as stabilizer 52. It is noted that a dedicated detector (not shown), responsive solely to the output of CW laser 20, may be used to stabilize laser 20, as is known, rather than using detector 50 for such stabilization.

Referring additionally to FIG. 2, receiver section 60 is seen to comprise FM subsection 160 and AM subsection 260. FM subsection 160 comprises conventional input amplifier 161, which increases the power of the beat frequency signal fed to receiver 60 by detector 50. The output of amplifier 161 is coupled to the input port of mixer 162, the output port of such mixer 162 being applied to FM processor unit 164. The mixer port of mixer 162 is applied with a control signal f.sub.o from VCO 168 to maintain the average frequency of the signal produced by mixer 162 constant, thereby minimizing the required bandwidth of the devices comprising FM processor unit 164. A preferred embodiment of mixer 162 is described in detail hereinafter in connection with FIG. 4.

FM processor unit 164 here comprises a conventional SAW (surface accoustical wave) analyzer 170 which responds to the frequency of the signal applied thereto from mixer 162 to produce an output signal representative of such frequency, as is described in detail hereinafter. Other devices which perform this function, such as a spectrum analyzer, may be substituted for the SAW analyzer 170. Here, SAW analyzer 170 is manufactured by Andersen Laboratories, 128 Blue Hills Avenue, Bloomfield, Conn. 06002, and has a center frequency of f.sub.SAW and a predetermined bandwidth and resolution. The output of SAW analyzer 170 is coupled to post-processor 172 which here computes three signals from the output signal of SAW analyzer 170 in a manner to be discussed: a signal V.sub.R (coarse) representing the approximate range of the target; V.sub.D representing the Doppler velocity of the target; and V.sub.L, a control signal coupled through integrator 174 to VCO (voltage-controlled-oscillator) 168 to adjust the output frequency of VCO 168 to hold the average frequency of the output signal from mixer 162 constant at a predetermined frequency, as will be discussed. The signal V.sub.R (coarse) is an approximate measurement (i.e., is relatively inaccurate) of target range. However, as will be discussed, such approximate range measurement has relatively long ambiguous range intervals and allows high resolution between a target and atmospheric clutter and between such target and other targets. Signals V.sub.D and V.sub.R (coarse) are coupled to utilization device 70, as shown, via lines 176, 178, respectively.

The output of mixer 162 is additionally coupled through cable 165 to AM subsection 260, where such signal is coupled through delay line 262 for purposes to be discussed and applied as inputs to a plurality of., here three, mixers 264a, 264b, 264c. A single output of VCO 266 is coupled to the mixer ports Of mixers 264a-264c for purposes to be discussed. The input of VCO 266 is derived from the output of SAW analyzer 170 via clutter threshold 171, as shown. The output ports of mixers 264a, 264b, 264c are coupled through a plurality of narrowband filters 268a, 268b, 268c, respectively, and are combined in conventional combiner/AM envelope detector 270 to produce a signal on line 272 which corresponds to the envelope of the amplitude modulation superimposed on the transmitted beam, and hence on the beat frequency signal. The phase of the envelope signal on line 272 is compared with the reference phase of the AM envelope signal applied onto the FM-CW output of laser 20 by AM driver 92 in phase detector 274, the difference in phase between the two signals representing an accurate measurement of the range of the target, such range measurement having poor resolution and short ambiguous range intervals, as will be discussed. That is, it is difficult to resolve one target from another or a target from atmospheric clutter with such accurate range measurement signal. Such accurate, ambiguous and poorly resolved target range signal is denoted here as V.sub.R (fine) and is coupled to utilization device 70, as shown, on line 276. Alternately, the phase of the individual output signals of filters 268a-268c may be detected, rather than detecting the phase of the combined, envelope signal.

In operation, and referring also to FIG. 3, which illustrates frequency- vs. -time waveforms 3A-3G representing the transmitted and received signals at various points A-G in system 10, the AM-FM CW signal which is transmitted toward the target at point A of FIG. 1 is shown as waveform 3A. As shown, such transmitted signal comprises a carrier signal component, having a nominal frequency f.sub.c, and a pair of sideband components: an upper sideband component having a nominal frequency of f.sub.c +f.sub.m ; and a lower sideband component wherein the nominal frequency is f.sub.c -f.sub.m. The symbol f.sub.c denotes the carrier frequency of the CW laser output of laser 20, which for a laser having an operating wavelength of 10.6 .mu.m, is approximately 3.times.10.sup.7 MHz. The designation f.sub.m denotes the frequency of the amplitude modulation envelope superimposed onto the output of CW laser 20 by AM unit 90, such frequency f.sub.m typically being many orders of magnitude less than the carrier frequency f.sub.c. In passing, it is noted that the range of a target as measured by an AM system is given by the well-known formula: ##EQU1## where c is the speed of light (3.times.10.sup.8 m/s) and .theta. represents the phase difference between the amplitude modulation envelope of the transmitted and received signals as determined here by phase detector 274. A little thought reveals that the above-described range measurement is ambiguous when such phase difference .theta. equals 2.pi.. Thus, the ambiguous target range is seen to be: ##EQU2## and is a short range interval for any substantial f.sub.m (such as on the order of 1 MHz).

Referring again to waveform 3A, the carrier and upper and lower sideband components each undergo a predetermined frequency excursion B within a predetermined time period T due to the frequency modulation imposed by FM modulator 80 on the CW signal generated by laser 20. The symbol T represents the duration of the up-ramp and the down-ramp produced by FM driver 82 and here is selected to yield a relatively long ambiguous range interval for target ranges measured from the FM superimposed on the CW laser beam produced by laser 20. Typically, the FM period (i.e., 2T) thus selected is such that the resulting FM modulation frequency (i.e., the rate of repetition dF/dt of the frequency modulation) is several orders of magnitude less than the AM frequency (f.sub.m) A little thought thus reveals that the ambiguous range interval for the lower frequency FM signal is much greater than the ambiguous range interval for the higher frequency AM signal.

Thus, it is seen that AM modulator 90 and FM modulator 80 produce an AM-FM waveform on the CW output of laser 20. That is, radar system 10 produces a frequency and amplitude modulated beam of continuous wave electromagnetic energy. Such AM-FM CW laser beam is transmitted toward a target (not shown) via beam expander 40, scanner 42 and afocal telescope 44. Portions of the transmitted AM-FM CW beam are reflected by clutter (not shown) disposed near the system 10 (i.e., within the short ambiguous range interval of the AM waveform). Other portions of the AM-FM CW signal are reflected by a target or targets and return to radar system 10. Both clutter-reflected and target-reflected return signals are received as AM-FM CW energy by afocal telescope 44, scanner 42 and beam expander 40 and are directed, as discussed, by Brewster plate 32 onto beam combiner 36. The frequency of the target return signal over time is represented at point B in FIG. 1 and waveform 3B of FIG. 3. As shown, the carrier component of the return signal has a nominal frequency of f.sub.c +f.sub.D, with the upper sideband component having a nominal frequency of f.sub.c +f.sub.m +f.sub.D and the nominal frequency of the lower sideband component being f.sub.c -f.sub.m +f.sub.D. The symbol f.sub.D here denotes the Doppler frequency shift of the received signal, which manifestly is the same for the carrier and sideband components. As is known, f.sub.D is represented by the equation: ##EQU3## where V is the velocity of the target relative to radar system 10 (f.sub.D being positive for an approaching target, which is assumed here), and .lambda. is the wavelength of the transmitted signal, here on the order of 10.6 .mu.m. The received signals at point B are also frequency modulated by the amount B in a time period T, as shown, and are delayed in time by an amount t.sub.R, representing the range delay of the target, from the transmitted signals at point A. The range delay t.sub.R is represented by the well-known formula: ##EQU4## where c is the speed of light and R is the range of the target.

The L.O. beam applied to beam combiner 36 is represented by waveform 3C, which is an FM-CW waveform of nominal frequency f.sub.c with a modulation frequency B applied thereto in a period T. It is noted that the L.O. beam is not applied with any amplitude modulation by AM modulator 90, as can also be seen by observation of FIG. 1. The L.O. beam is, as discussed, combined with the return beam by combiner 36 and the combined beams directed to detector 50 via lens 49.

Detector 50 responds to the signals incident thereon as discussed to produce a beat frequency signal on line 51, indicated as point D in FIG. 2 and shown as waveform 3D in FIG. 3. The beat frequency signal is a CW signal having any FM components removed in the mixing process of detector 50. The frequency of such signal is the beat or difference frequency between the return signal and the L.O. signal, except during the transitions of the FM waveform between the up-ramp and down-ramp, such transition periods being ignored, as is known. Since the return signal is an AM signal, the beat frequency signal is an AM signal as well, having a carrier component and upper and lower sideband components. During the "up-ramp" of the FM signal, the beat frequency of the carrier output component of the detector is f.sub.D -f.sub.R, the frequency of the upper sideband component is f.sub.D -f.sub.R +f.sub.m, and that of the lower sideband component is f.sub.D -f.sub.R -f.sub.m. The symbol f.sub.R denotes the frequency shift in the output of detector 50 due to the range of the target. As is well-known: ##EQU5## where: R is the target range, B is the peak-to-peak FM deviation, c is the speed of light, and T equals the duration of the FM ramp. Here it is assumed that the absolute value of f.sub.R is less than the absolute value of f.sub.D. As is known, the frequency f.sub.R is positive during the FM up-ramp and negative during the down-ramp of the FM. Hence, during the down-ramp, the carrier output component of detector 50 has a beat frequency of f.sub.D +f.sub.R, while the beat frequency of the upper and lower sideband components thereof are f.sub.D +f.sub.R +f.sub.m and f.sub.D +f.sub.R -f.sub.m, respectively. The AM-beat-frequency output of detector 50