USH1797H - Linear frequency modulation apparatus and technique - Google Patents

Linear frequency modulation apparatus and technique Download PDF

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Publication number
USH1797H
USH1797H US06/553,902 US55390283A USH1797H US H1797 H USH1797 H US H1797H US 55390283 A US55390283 A US 55390283A US H1797 H USH1797 H US H1797H
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output
signal
waveform
voltage
frequency
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US06/553,902
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Richard P. Mosser
William H. Suder, III
Richard E. Pavek
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US Department of Navy
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US Department of Navy
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Assigned to UNITED STATES OF AMERICA AS REPRESENTED BY THE SECRETARY OF THE NAVY, THE reassignment UNITED STATES OF AMERICA AS REPRESENTED BY THE SECRETARY OF THE NAVY, THE ASSIGNMENT OF ASSIGNORS INTEREST. Assignors: MOSSER, RICHARD P., PAVEK RICHARD E, SUDER, WILLIAM H. III
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03BGENERATION OF OSCILLATIONS, DIRECTLY OR BY FREQUENCY-CHANGING, BY CIRCUITS EMPLOYING ACTIVE ELEMENTS WHICH OPERATE IN A NON-SWITCHING MANNER; GENERATION OF NOISE BY SUCH CIRCUITS
    • H03B23/00Generation of oscillations periodically swept over a predetermined frequency range
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03CMODULATION
    • H03C3/00Angle modulation
    • H03C3/02Details
    • H03C3/08Modifications of modulator to linearise modulation, e.g. by feedback, and clearly applicable to more than one type of modulator

Definitions

  • the present invention relates to the broad field of FM waveform generation and more particularly to the field of linear frequency modulation.
  • the present invention relates to linear frequency modulation having a large time-bandwidth product and an extremely linear frequency versus time waveform.
  • Another method is the use of digitally controlled X-band phase shifters; however, this method encounters problems in the precise timing in the phase shifters and the number of bits necessary to drive the phase shifters.
  • the present invention overcomes the difficulties in providing a linear frequency versus time waveform having the required time-bandwidth product by utilizing a closed loop path which contains a forward analog path for generating the output frequency followed by an error signal generator utilizing a surface acoustic wave device and a digital feedback path to said forward analog path.
  • Another object of the invention is to provide such a linear frequency modulation with multiple sweep rates.
  • Yet another object of the invention is to provide such linear frequency modulation with variable polarity, such that an upstroke or downstroke frequency modulation versus time relationship may be selected.
  • FIG. 1 is a representation of the desired frequency rate of change characteristics of the ideal LFM waveform
  • FIG. 2 is a block diagram of the mechanization of the invention.
  • the technique and mechanization hereafter described is most useful in LFM radar applications, in that it allows the formation of range gates with a relatively long ambiguous range. Further, the variable slope or polarity aspect allows the formation of adaptive range gates. Also, the invention provides the capability of moving interference such as clutter away from the target in frequency when the clutter has appropriate range and range rates.
  • the waveform 10 represents the idealized linear characteristics of an upslope frequency modulation versus time waveform where the frequency ranges from an f 0 to f 1 over the time interval t 0 to t 1 .
  • a relatively large time (t 1 -t 0 ) - bandwidth (f 1 -f 0 ) product may be attained through a technique utilizing the mechanization shown in FIG. 2.
  • Ramp generator 21 is a voltage versus time waveform generator. Preferentially it comprises integrators whose output is a relatively linear voltage versus time waveform.
  • the output of the ramp generator can have five different voltage versus time rates, and can be either an increasing voltage versus time waveform or a decreasing voltage versus time waveform.
  • This output is applied to a summing circuit 23 whose other input is the feedback error signal from the feedback loop.
  • the summing circuit output is the input to a highly linear voltage controlled oscillator (VCO) 25 whose output is a linear frequency versus time waveform, and is accomplished using a hyper abrupt varactor.
  • VCO 25 is the LFM waveform supplied to the system of which the present invention is a subassembly.
  • VCO 25 also has two outputs to the feedback loop.
  • One of the VCO 25 outputs is an undelayed output to a mixer 27, while the other is a delayed path through a surface acoustic wave (SAW) delay line 29 to mixer 27.
  • SAW delay line 29 serves as an error signal generator such that the output of mixer 27 is a frequency that is proportional to the rate of the frequency change of VCO 25. It may be noted that a measure of the linearity of the VCO output could be accomplished by measuring the frequency deviation at the output of mixer 27.
  • a zero crossing detector 31 which converts the analog sinusoidal signal output of mixer 27 into a square wave digital signal that can be processed by a digital frequency discriminator 33.
  • Discriminator 33 compares the square wave from zero crossing detector 31 to a value preset for each available slope rate. Discriminator 33 is clocked by a high frequency clock 35 that varies up to 48 megahertz, depending upon the slope rate, in the preferred embodiment. The output of discriminator 33 is accumulated for each sample time and applied to the system through a digital to analog converter 37. The analog output of converter 37 is applied to a correction slope generator 39 whose purpose is to provide loop compensation and stability to the loop. The output of generator 39 is the second input to summing circuit 23, thus closing the loop.
  • the technique requires generating an analog signal to output a linear frequency modulation waveform, delaying part of said output to generate an error signal for deriving a signal proportionate to the rate of change of said output frequency; converting said proportionate signal into a digital waveform; comparing said digital waveform to a predetermined value to yield a digital variance output; converting said digital output to an analog slope correction waveform and stabilizing the generation of said LFM waveform by the introduction of said slope correction waveform. It will be appreciated that each of the steps of the technique may be further delineated by the functional performance of the elements hereinabove described.

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Abstract

Linear frequency modulation having a large time-bandwidth product and an remely linear frequency versus time waveform, is provided by a feedback technique utilizing a linear ramp voltage generator whose output is summed with a correction voltage to drive a voltage controlled oscillator to output the LFM waveform. Part of the LFM waveform is fed back through a digital discriminator for error signal generation and comparison with a preset value associated with the output slope linearity, thus yielding the basis for generating the correction voltage.

Description

BACKGROUND OF THE INVENTION
The present invention relates to the broad field of FM waveform generation and more particularly to the field of linear frequency modulation. In even greater particularity, the present invention relates to linear frequency modulation having a large time-bandwidth product and an extremely linear frequency versus time waveform.
Previous known methods of linear frequency modulation could generate extremely linear frequency versus time waveforms for very short times only, or they could generate long frequency versus time waveforms with relatively poor linearity. Utilized in some of the prior art was a 1.0 GHz clock-rate scheme in which a closed loop system would be clocked at a 1.0 GHz rate; however, inherent in such a scheme are problems with reliable clocking of digital devices at the 1.0 GHz rate.
Another scheme for achieving the desired time-bandwidth product was digital computation with a single sideband generator; however, this method required a 10ns digital to analog converter and sample and hold circuits. Also, the scheme required phase matching over an 8 megahertz range within 1° in the filters and mixers of the single sideband generator.
Another method is the use of digitally controlled X-band phase shifters; however, this method encounters problems in the precise timing in the phase shifters and the number of bits necessary to drive the phase shifters.
The closest prior art would be the use of analog frequency modulators using an analog feedback circuit, wherein the major problem is the lock-up time required for the loop between LFM strokes which yields a lower duty factor than desired in utilization.
SUMMARY OF THE INVENTION
The present invention overcomes the difficulties in providing a linear frequency versus time waveform having the required time-bandwidth product by utilizing a closed loop path which contains a forward analog path for generating the output frequency followed by an error signal generator utilizing a surface acoustic wave device and a digital feedback path to said forward analog path.
It is an object of the invention to provide an extremely linear frequency modulation versus time waveform with a large time-bandwidth product.
Another object of the invention is to provide such a linear frequency modulation with multiple sweep rates.
Yet another object of the invention is to provide such linear frequency modulation with variable polarity, such that an upstroke or downstroke frequency modulation versus time relationship may be selected.
These and other objects, features and advantages of the invention will become apparent to the artisan from a study of the description of the preferred embodiment and the appended Figures.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a representation of the desired frequency rate of change characteristics of the ideal LFM waveform; and
FIG. 2 is a block diagram of the mechanization of the invention.
DESCRIPTION OF THE PREFERRED EMBODIMENT
The technique and mechanization hereafter described is most useful in LFM radar applications, in that it allows the formation of range gates with a relatively long ambiguous range. Further, the variable slope or polarity aspect allows the formation of adaptive range gates. Also, the invention provides the capability of moving interference such as clutter away from the target in frequency when the clutter has appropriate range and range rates.
With reference to FIG. 1, the waveform 10 represents the idealized linear characteristics of an upslope frequency modulation versus time waveform where the frequency ranges from an f0 to f1 over the time interval t0 to t1. A relatively large time (t1 -t0) - bandwidth (f1 -f0) product may be attained through a technique utilizing the mechanization shown in FIG. 2.
Ramp generator 21 is a voltage versus time waveform generator. Preferentially it comprises integrators whose output is a relatively linear voltage versus time waveform. The output of the ramp generator can have five different voltage versus time rates, and can be either an increasing voltage versus time waveform or a decreasing voltage versus time waveform. This output is applied to a summing circuit 23 whose other input is the feedback error signal from the feedback loop. The summing circuit output is the input to a highly linear voltage controlled oscillator (VCO) 25 whose output is a linear frequency versus time waveform, and is accomplished using a hyper abrupt varactor. The output of VCO 25 is the LFM waveform supplied to the system of which the present invention is a subassembly. VCO 25 also has two outputs to the feedback loop.
One of the VCO 25 outputs is an undelayed output to a mixer 27, while the other is a delayed path through a surface acoustic wave (SAW) delay line 29 to mixer 27. SAW delay line 29 serves as an error signal generator such that the output of mixer 27 is a frequency that is proportional to the rate of the frequency change of VCO 25. It may be noted that a measure of the linearity of the VCO output could be accomplished by measuring the frequency deviation at the output of mixer 27. However, following mixer 27 is a zero crossing detector 31 which converts the analog sinusoidal signal output of mixer 27 into a square wave digital signal that can be processed by a digital frequency discriminator 33.
Discriminator 33 compares the square wave from zero crossing detector 31 to a value preset for each available slope rate. Discriminator 33 is clocked by a high frequency clock 35 that varies up to 48 megahertz, depending upon the slope rate, in the preferred embodiment. The output of discriminator 33 is accumulated for each sample time and applied to the system through a digital to analog converter 37. The analog output of converter 37 is applied to a correction slope generator 39 whose purpose is to provide loop compensation and stability to the loop. The output of generator 39 is the second input to summing circuit 23, thus closing the loop.
Thus it can be seen that in operation the technique requires generating an analog signal to output a linear frequency modulation waveform, delaying part of said output to generate an error signal for deriving a signal proportionate to the rate of change of said output frequency; converting said proportionate signal into a digital waveform; comparing said digital waveform to a predetermined value to yield a digital variance output; converting said digital output to an analog slope correction waveform and stabilizing the generation of said LFM waveform by the introduction of said slope correction waveform. It will be appreciated that each of the steps of the technique may be further delineated by the functional performance of the elements hereinabove described.
While a preferred embodiment has been described, it should be understood that said description is intended as an illustration rather than a limitation, and that the invention encompasses such changes, modifications, and alterations as are encompassed by the scope and spirit of the appended claims.

Claims (5)

What is claimed is:
1. An apparatus for generating selectable linear frequency versus time waveforms comprising, in combination:
an analog forward path having input and output means;
an error signal generator receiving the output of said analog forward path and having an output that is proportional to the rate of change in frequency of the output of said analog forward path; and
a feedback path receiving the output of said error signal generator, connected to an input of said forward path for supplying a feedback signal, and having means for providing a sample period determined by the slope selected for said waveform, and digitally comparing during said period said error signal to a value determined by said slope.
2. The apparatus of claim 1 wherein said analog forward path comprises:
means for generating a linear voltage ramp having an output;
means for summing said voltage generating means output with said feedback signal; and
means for varying frequency of a signal over time in an extremely linear manner in accordance with a voltage signal input thereto from said summing means.
3. The apparatus of claim 1 wherein said error signal generator comprises:
a surface acoustic wave delay line receiving an input from said analog forward path and having an output derived from the output thereof;
means for deriving a signal proportionate to the rate of change in frequency of the output of said analog forward path, having inputs from said surface acoustic wave delay line and said analog forward path.
4. The apparatus of claim 1 wherein said feedback path comprises:
means for converting the output of said error signal generator into a digital waveform;
means for comparing said digital waveform to a predetermined value associated with the linearity of said frequency versus time waveform, outputting a digital signal related thereto; and
means for converting said digital signal into an analog voltage for input into said analog forward path to provide feedback loop stability to the analog forward path output.
5. Apparatus for producing a linear frequency ramp, comprising:
a voltage controlled oscillator providing a relatively linear frequency versus time waveform at its output responsive to the voltage of a signal at its input;
a first waveform generator producing a relatively linear ramp signal of voltage versus time at its output, wherein the slope of said ramp is selectable from a predetermined set of voltage versus time rates;
a second waveform generator providing the error signal of a feedback circuit at its output to correct the slope of the output signal of said voltage controlled oscillator;
a summing circuit coupled to said outputs of said first and said second waveform generators for combining said error signal with said relatively linear ramp signal of voltage versus time, and coupled to said input of said voltage controlled oscillator;
means in said feedback circuit coupled to an output of said voltage controlled oscillator for providing a frequency signal that is proportional to the rate of the frequency change in the output of said voltage controlled oscillator;
means in said feedback circuit coupled to said frequency signal providing means for converting said proportional signal into a square wave digital signal;
means in said feedback circuit coupled to said converting means for providing a sample period determined by the slope selected for the ramp of said first waveform generator, and comparing during said period said square wave digital signal to a value determined by said slope; and
means in said feedback circuit coupled to said comparing means for converting the results of said comparison to a digital signal and coupling said digital signal to said second waveform generator.
US06/553,902 1983-11-21 1983-11-21 Linear frequency modulation apparatus and technique Abandoned USH1797H (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060109171A1 (en) * 2004-11-19 2006-05-25 Moch Thomas A Methods and devices for determining the linearity of signals

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3514718A (en) * 1967-08-30 1970-05-26 Cornell Aeronautical Labor Inc Apparatus for linearizing the output frequency variation rate of voltage tunable oscillators or the like
US3992679A (en) * 1974-07-05 1976-11-16 Sony Corporation Locked oscillator having control signal derived from output and delayed output signals
US4038612A (en) * 1976-05-21 1977-07-26 International Telephone And Telegraph Corporation Swept oscillator automatic linearizer
US4205316A (en) * 1967-03-16 1980-05-27 The United States Of America As Represented By The Secretary Of The Army Enhanced accuracy doppler fuze
US4245196A (en) * 1979-07-30 1981-01-13 The United States Of America As Represented By The Secretary Of The Army Highly-linear closed-loop frequency sweep generator
US4310809A (en) * 1979-04-27 1982-01-12 Westinghouse Electric Corp. Low noise microstrip voltage controlled oscillator

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4205316A (en) * 1967-03-16 1980-05-27 The United States Of America As Represented By The Secretary Of The Army Enhanced accuracy doppler fuze
US3514718A (en) * 1967-08-30 1970-05-26 Cornell Aeronautical Labor Inc Apparatus for linearizing the output frequency variation rate of voltage tunable oscillators or the like
US3992679A (en) * 1974-07-05 1976-11-16 Sony Corporation Locked oscillator having control signal derived from output and delayed output signals
US4038612A (en) * 1976-05-21 1977-07-26 International Telephone And Telegraph Corporation Swept oscillator automatic linearizer
US4310809A (en) * 1979-04-27 1982-01-12 Westinghouse Electric Corp. Low noise microstrip voltage controlled oscillator
US4245196A (en) * 1979-07-30 1981-01-13 The United States Of America As Represented By The Secretary Of The Army Highly-linear closed-loop frequency sweep generator

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060109171A1 (en) * 2004-11-19 2006-05-25 Moch Thomas A Methods and devices for determining the linearity of signals
US7333051B2 (en) 2004-11-19 2008-02-19 Lockheed Martin Corporation Methods and devices for determining the linearity of signals

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Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNORS:PAVEK RICHARD E;MOSSER, RICHARD P.;SUDER, WILLIAM H. III;REEL/FRAME:004200/0473

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