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CN111999725B - Wideband polynomial phase signal declivity method and device under guidance of narrowband signal - Google Patents

Wideband polynomial phase signal declivity method and device under guidance of narrowband signal Download PDF

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CN111999725B
CN111999725B CN202010904054.6A CN202010904054A CN111999725B CN 111999725 B CN111999725 B CN 111999725B CN 202010904054 A CN202010904054 A CN 202010904054A CN 111999725 B CN111999725 B CN 111999725B
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CN111999725A (en
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陆泽橼
杨广玉
张孟达
徐海洲
于秋野
汪在华
梁华东
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CETC 38 Research Institute
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
    • G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
    • G01S13/0209—Systems with very large relative bandwidth, i.e. larger than 10 %, e.g. baseband, pulse, carrier-free, ultrawideband
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/28—Details of pulse systems
    • G01S7/285—Receivers
    • G01S7/292—Extracting wanted echo-signals
    • G01S7/2923—Extracting wanted echo-signals based on data belonging to a number of consecutive radar periods
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/28—Details of pulse systems
    • G01S7/285—Receivers
    • G01S7/32—Shaping echo pulse signals; Deriving non-pulse signals from echo pulse signals
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract

The invention discloses a wideband polynomial phase signal declivity method and a device under the guidance of a narrowband signal, wherein the method comprises the following steps: transmitting a plurality of continuous narrowband LFM signals; acquiring pulse echoes of a plurality of continuous narrowband LFM signals; performing delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals; performing fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient of each narrowband echo delay signal estimation; compensating pulse echo of each narrowband LFM signal, and carrying out Fourier transform on the compensated result to obtain a first term coefficient and a zero term coefficient of each narrowband echo delay signal estimation; acquiring a cubic term coefficient of a broadband signal; obtaining k-1 times of coefficients of the broadband signal, and performing declivity processing on the broadband signal by using the declivity signal; the invention has the advantages that: the novel wideband polynomial phase signal declivity method is provided, and the declivity effect is good.

Description

Wideband polynomial phase signal declivity method and device under guidance of narrowband signal
Technical Field
The invention relates to the technical field of microwaves, in particular to a wideband polynomial phase signal declivity method and device under the guidance of narrowband signals.
Background
With the continuous development of microwave technology, the radar can transmit and receive signals with wider bandwidth than the prior art, and the radar can perform clearer imaging processing by means of high distance resolution of the signals with wider bandwidth and Doppler generated by rotation of a space target. The large bandwidth signal encounters a spatial target that moves at high speed and with acceleration, while the transmitted signal is a chirp signal, the received signal becomes a polynomial phase signal. Because the in-band fluctuation of the receiving and transmitting response of the antenna with large bandwidth is not ideal linear frequency modulation signal, the signal needs to be subjected to declivity treatment, and the inherent declivity signal is loaded on the broadband signal for declivity treatment in the traditional declivity treatment.
The invention discloses a method for generating broadband deskew echo based on sweep frequency data, belonging to the technical field of radar signal processing, wherein the method is disclosed in Chinese invention bulletin No. CN 110850384B. First, a pulsed radar transmits a chirp signal to a detection target containing Q scattering centers. And each scattering center in the detection target is fed back to the echo signal of each radar to obtain broadband echo signals of the Q scattering centers. Setting a reference signal, and performing declining treatment on broadband echo signals of each scattering center to obtain a frequency response containing the characteristic of a target RCS; carrying out quick Fourier inverse transformation on the frequency response containing the RCS characteristic of the target, wherein each scattering center inversely transforms to obtain a complex amplitude value, and Q complex amplitude values form a one-dimensional range profile of the detection target; and multiplying the one-dimensional range profile of the detection target with the deskewing echo signals of each scattering center, accumulating and summing to finally obtain the whole broadband deskewing echo of the detection target. The invention greatly reduces the operation amount and simultaneously ensures the same precision and accuracy as convolution operation. But the main emphasis is not the deskewing process, and the deskewing of the wideband polynomial phase signal under the guidance of the narrowband signal cannot be well performed.
Disclosure of Invention
The invention aims to solve the technical problem that the wideband polynomial phase signal under the guidance of the narrowband signal in the prior art has poor declivity effect.
The invention solves the technical problems by the following technical means: a method for wideband polynomial phase signal deskewing under narrowband signal steering, the method comprising:
step one: transmitting a plurality of continuous narrowband LFM signals;
step two: acquiring pulse echoes of a plurality of continuous narrowband LFM signals;
step three: performing delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals;
step four: traversing all the narrow-band echo delay signals, taking values at fixed time, and performing fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal;
step five: according to the quadratic term coefficient and the cubic term coefficient of each narrowband echo delay signal estimation, compensating the pulse echo of each narrowband LFM signal, and carrying out Fourier transform on the compensated result to obtain the primary term coefficient and the zero-order term coefficient of each narrowband echo delay signal estimation;
step six: obtaining the third term coefficient of the broadband signal according to the third term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal;
step seven: obtaining k-1 times term coefficients of the broadband signals according to the k-1 times term coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2, 3 or 4;
step eight: and obtaining the frequency modulation slope of the declivity signal according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and performing declivity processing on the broadband signal by using the declivity signal.
The method is based on a plurality of continuous narrowband LFM signals with different waveforms, realizes the extraction of waveform parameters of a space target broadband signal, does not need to add extra hardware cost, does not change the existing radar imaging signal processing system, has small calculation load, obtains the frequency modulation slope of the declivity signal through the quadratic term coefficient and the cubic term coefficient of the broadband signal, obtains the declivity signal through the frequency modulation slope of the declivity signal, performs declivity processing on the broadband signal by using the declivity signal, realizes accurate declivity real-time declivity aiming at the broadband signal, has good declivity effect, and meanwhile, the waveform parameters of the broadband signal have important application value to the radar accurate imaging field and the follow-up target identification.
Further, the ith narrowband LFM signal in the step one is
Figure GDA0004264785240000031
Wherein i=1, 2,..n, N is the total number of narrowband LFM signals, S i (t) is the ith narrowband LFM signal, j is the imaginary symbol, e () As an exponential function based on e, f 0 For the common working frequency point of all narrowband LFM signals, the narrowband LFM signals and the broadband signals share the same working frequency point, k i Frequency modulation slope of ith narrowband LFM signal, B i Is the amplitude of the i-th narrowband LFM signal.
Further, the pulse echo in the second step is expressed as
Figure GDA0004264785240000032
Wherein S is r i (t) is the ith pulse echo, alpha 1i 、α 2i 、α 3i And alpha 4i The zero order term coefficient, the first order term coefficient, the second order term coefficient and the third order term coefficient of the ith narrowband LFM signal respectively, A i Is the echo amplitude of the i-th narrowband LFM signal.
Further, the third step includes: delaying the ith pulse echo by tau components to obtain an ith narrow-band echo delay signal
Figure GDA0004264785240000033
Wherein (alpha) 3i +3α 4i t) is the instantaneous frequency of the ith narrowband echo delay signal.
Further, the fourth step includes: by the formula
Figure GDA0004264785240000041
Obtaining a first intermediate quantity->
Figure GDA0004264785240000042
And a second intermediate amount->
Figure GDA0004264785240000043
Time values t1 and t2 can obtain the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000044
The third order term coefficient of the narrow-band echo delay signal estimation can be obtained according to the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000045
And quadratic term coefficient->
Figure GDA0004264785240000046
Respectively is
Figure GDA0004264785240000047
Further, the fifth step includes: according to the quadratic term coefficient and the cubic term coefficient estimated by each narrow-band echo delay signal, compensating the pulse echo of each narrow-band LFM signal to obtain a compensated result
Figure GDA0004264785240000048
For the compensated result, the result is calculated by the formula
Figure GDA0004264785240000049
Performing Fourier transform to obtain a first order coefficient of each narrowband echo delay signal estimation>
Figure GDA00042647852400000410
And zero order term coefficient->
Figure GDA00042647852400000411
Further, the sixth step includes: by the formula
Figure GDA00042647852400000412
Acquiring a cubic coefficient of a broadband signal, wherein alpha 4b Is the third order coefficient of the wideband signal, beta br Is the frequency modulation slope of the wideband signal,/->
Figure GDA00042647852400000413
Is the third order coefficient, beta, of the estimated ith narrowband LFM signal i Is the chirp rate of the i-th narrowband LFM signal.
Further, the step seven includes: by the formula
Figure GDA00042647852400000414
Obtaining the linear relation between the frequency modulation slope of the narrowband LFM signal and the k-1 th order coefficient, wherein beta 1i Frequency modulation slope beta of ith narrowband LFM signal 2j For the frequency modulation slope of the jth narrowband LFM signal, pa1 and pa2 are the first and second parameters, respectively
Figure GDA0004264785240000051
Figure GDA0004264785240000052
For the k-1 th order term coefficients of the estimated i-th narrowband LFM signal,
Figure GDA0004264785240000053
k-1 th order term coefficients for the estimated jth narrowband LFM signal;
by the formula alpha kb ＝β br Pa1+pa2 obtaining the k-1 th order coefficients of the wideband signal, where α kb Is the k-1 th order term coefficient of the wideband signal.
Further, the step eight includes:
obtaining expression Sigmatch of broadband signal according to zero order coefficient, primary order coefficient, secondary order coefficient and tertiary order coefficient of broadband signal b (t)＝exp[j2π((α 1 +α 2b t+α 3b t 2 +α 4b t 3 ))]
Obtaining the frequency modulation slope alpha of the declassified signal according to the expression of the broadband signal 3b +α 4b And t, obtaining a declivity signal conjugated with the broadband signal according to the frequency modulation slope of the declivity signal, and performing declivity processing on the broadband signal by using the secondary term and the tertiary term of the declivity signal for counteracting the broadband signal.
The invention also provides a wideband polynomial phase signal declivity device under the guidance of a narrowband signal, which comprises:
the transmitting module is used for transmitting a plurality of continuous narrowband LFM signals;
the receiving module is used for acquiring pulse echoes of a plurality of continuous narrowband LFM signals;
the delay correlation processing module is used for carrying out delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals;
the first Fourier transform module is used for traversing all the narrow-band echo delay signals, taking the value at fixed time, and carrying out fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal;
the second Fourier transform module is used for compensating the pulse echo of each narrowband LFM signal according to the quadratic term coefficient and the cubic term coefficient estimated by each narrowband echo delay signal, and carrying out Fourier transform on the compensated result to obtain the quadratic term coefficient and the zero-order term coefficient estimated by each narrowband echo delay signal;
the first broadband signal coefficient acquisition module is used for acquiring the cubic term coefficient of the broadband signal according to the cubic term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal;
the second broadband signal coefficient acquisition module is used for acquiring k-1 times of coefficients of the broadband signals according to the k-1 times of coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2 or 3;
and the declivity module is used for obtaining the frequency modulation slope of the declivity signal according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and declivity processing is carried out on the broadband signal by utilizing the declivity signal.
Further, the ith narrowband LFM signal in the transmitting module is
Figure GDA0004264785240000061
Wherein i=1, 2,..n, N is the total number of narrowband LFM signals, S i (t) is the ith narrowband LFM signal, j is the imaginary symbol, e () As an exponential function based on e, f 0 For the common working frequency point of all narrowband LFM signals, the narrowband LFM signals and the broadband signals share the same working frequency point, k i Frequency modulation slope of ith narrowband LFM signal, B i Is the amplitude of the i-th narrowband LFM signal.
Further, the pulse echo in the receiving module is expressed as
Figure GDA0004264785240000062
Wherein S is r i (t) is the ith pulse echo, alpha 1i 、α 2i 、α 3i And alpha 4i The zero order term coefficient, the first order term coefficient, the second order term coefficient and the third order term coefficient of the ith narrowband LFM signal respectively, A i Is the echo amplitude of the i-th narrowband LFM signal.
Further, the delay related processing module is further configured to: delaying the ith pulse echo by tau components to obtain an ith narrow-band echo delay signal
Figure GDA0004264785240000071
Wherein (alpha) 3i +3α 4i t) is the instantaneous frequency of the ith narrowband echo delay signal.
Further, the first fourier transform module is further configured to: by the formula
Figure GDA0004264785240000072
Obtaining a first intermediate quantity->
Figure GDA0004264785240000073
And a second intermediate amount->
Figure GDA0004264785240000074
Time values t1 and t2 can obtain the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000075
The third order term coefficient of the narrow-band echo delay signal estimation can be obtained according to the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000076
And quadratic term coefficient->
Figure GDA0004264785240000077
Respectively is
Figure GDA0004264785240000078
Further, the second fourier transform module is further configured to: according to the quadratic term coefficient and the cubic term coefficient estimated by each narrow-band echo delay signal, compensating the pulse echo of each narrow-band LFM signal to obtain a compensated result
Figure GDA0004264785240000079
For the compensated result, the result is calculated by the formula
Figure GDA00042647852400000710
Performing Fourier transform to obtain a first order coefficient of each narrowband echo delay signal estimation>
Figure GDA00042647852400000711
And zero order term coefficient->
Figure GDA00042647852400000712
Further, the first wideband signal coefficient acquisition module is further configured to: by the formula
Figure GDA00042647852400000713
Acquiring a cubic coefficient of a broadband signal, wherein alpha 4b Is the third order coefficient of the wideband signal, beta br Is the frequency modulation slope of the wideband signal,/->
Figure GDA00042647852400000714
Is the third order coefficient, beta, of the estimated ith narrowband LFM signal i Is the chirp rate of the i-th narrowband LFM signal.
Further, the second wideband signal coefficient acquisition module is further configured to: by the formula
Figure GDA0004264785240000081
Obtaining the linear relation between the frequency modulation slope of the narrowband LFM signal and the k-1 th order coefficient, wherein beta 1i Frequency modulation slope beta of ith narrowband LFM signal 2j For the frequency modulation slope of the jth narrowband LFM signal, pa1 and pa2 are the first and second parameters, respectively
Figure GDA0004264785240000082
Figure GDA0004264785240000083
Figure GDA0004264785240000084
For the k-1 th order term coefficients of the estimated i-th narrowband LFM signal,
Figure GDA0004264785240000085
k-1 th order term coefficients for the estimated jth narrowband LFM signal;
by the formula alpha kb ＝β br Pa1+pa2 obtaining the k-1 th order coefficients of the wideband signal, where α kb Is the k-1 th order term coefficient of the wideband signal.
Further, the deskewing module is further configured to:
obtaining expression Sigmatch of broadband signal according to zero order coefficient, primary order coefficient, secondary order coefficient and tertiary order coefficient of broadband signal b (t)＝exp[j2π((α 1 +α 2b t+α 3b t 2 +α 4b t 3 ))]
Obtaining the frequency modulation slope alpha of the declassified signal according to the expression of the broadband signal 3b +α 4b And t, obtaining a declivity signal conjugated with the broadband signal according to the frequency modulation slope of the declivity signal, and performing declivity processing on the broadband signal by using the secondary term and the tertiary term of the declivity signal for counteracting the broadband signal.
The invention has the advantages that: the method is based on a plurality of continuous narrowband LFM signals with different waveforms, realizes the extraction of waveform parameters of a space target broadband signal, does not need to add extra hardware cost, does not change the existing radar imaging signal processing system, has small calculation load, obtains the frequency modulation slope of the declivity signal through the quadratic term coefficient and the cubic term coefficient of the broadband signal, obtains the declivity signal through the frequency modulation slope of the declivity signal, performs declivity processing on the broadband signal by using the declivity signal, realizes accurate declivity real-time declivity aiming at the broadband signal, has good declivity effect, and meanwhile, the waveform parameters of the broadband signal have important application value to the radar accurate imaging field and the follow-up target identification.
Drawings
FIG. 1 is a flow chart of a wideband polynomial phase signal deskewing method under narrowband signal guidance provided by an embodiment of the present invention;
fig. 2 is a schematic timing diagram of a narrowband LFM signal and a wideband signal in a wideband polynomial phase signal deskewing method under narrowband signal guidance according to an embodiment of the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions in the embodiments of the present invention will be clearly and completely described in the following in conjunction with the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
As shown in fig. 1, a wideband polynomial phase signal declivity method under narrowband signal guidance, the method comprising:
step S1: transmitting a plurality of continuous narrowband LFM signals; specific: the i-th narrowband LFM signal is
Figure GDA0004264785240000091
Wherein i=1, 2,..n, N is the total number of narrowband LFM signals, S i (t) is the ith narrowband LFM signal, j is the imaginary symbol, e () As an exponential function based on e, f 0 For the common working frequency point of all narrowband LFM signals, the narrowband LFM signals and the broadband signals share the same working frequency point, k i Frequency modulation slope of ith narrowband LFM signal, B i Is the amplitude of the i-th narrowband LFM signal.
Step S2: acquiring pulse echoes of a plurality of continuous narrowband LFM signals; specific: the pulse echo is expressed as
Figure GDA0004264785240000101
Wherein S is r i (t) is the ith pulse echo, alpha 1i 、α 2i 、α 3i And alpha 4i The zero order term coefficient, the first order term coefficient, the second order term coefficient and the third order term coefficient of the ith narrowband LFM signal respectively, A i Is the echo amplitude of the i-th narrowband LFM signal.
Step S3: performing delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals; the specific process is as follows: delaying the ith pulse echo by tau components to obtain an ith narrow-band echo delay signal
Figure GDA0004264785240000102
Wherein (alpha) 3i +3α 4i t) is the instantaneous frequency of the ith narrowband echo delay signal.
Step S4: traversing all the narrow-band echo delay signals, taking values at fixed time, and performing fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal; the specific process is as follows: by the formula
Figure GDA0004264785240000103
Obtaining a first intermediate quantity->
Figure GDA0004264785240000104
And a second intermediate amount->
Figure GDA0004264785240000105
Time values t1 and t2 can obtain the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000106
The third order term coefficient of the narrow-band echo delay signal estimation can be obtained according to the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000107
And quadratic term coefficient->
Figure GDA0004264785240000108
Respectively is
Figure GDA0004264785240000109
Step S5: according to the quadratic term coefficient and the cubic term coefficient estimated by each narrow-band echo delay signal, compensating the pulse echo of each narrow-band LFM signal, and carrying out Fourier transform on the compensated result to obtain each narrow-bandA first order term coefficient and a zero order term coefficient of echo delay signal estimation; the specific process is as follows: according to the quadratic term coefficient and the cubic term coefficient estimated by each narrow-band echo delay signal, compensating the pulse echo of each narrow-band LFM signal to obtain a compensated result
Figure GDA0004264785240000111
For the compensated result, the result is calculated by the formula
Figure GDA0004264785240000112
Performing Fourier transform to obtain a first order coefficient of each narrowband echo delay signal estimation>
Figure GDA0004264785240000113
And zero order term coefficient->
Figure GDA0004264785240000114
Step S6: obtaining the third term coefficient of the broadband signal according to the third term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal; the specific process is as follows: by the formula
Figure GDA0004264785240000115
Acquiring a cubic coefficient of a broadband signal, wherein alpha 4b Is the third order coefficient of the wideband signal, beta br Is the frequency modulation slope of the wideband signal,/->
Figure GDA0004264785240000116
Is the third order coefficient, beta, of the estimated ith narrowband LFM signal i Is the chirp rate of the i-th narrowband LFM signal.
Step S7: obtaining k-1 times term coefficients of the broadband signals according to the k-1 times term coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2, 3 or 4; the specific process is as follows: by the formula
Figure GDA0004264785240000117
Obtaining the linear relation between the frequency modulation slope of the narrowband LFM signal and the k-1 th order coefficient, wherein beta 1i Frequency modulation slope beta of ith narrowband LFM signal 2j For the frequency modulation slope of the jth narrowband LFM signal, pa1 and pa2 are the first and second parameters, respectively, and +.>
Figure GDA0004264785240000118
Figure GDA0004264785240000119
For the k-1 th order coefficient of the estimated i-th narrowband LFM signal,/I>
Figure GDA00042647852400001110
K-1 th order term coefficients for the estimated jth narrowband LFM signal;
by the formula alpha kb ＝β br Pa1+pa2 obtaining the k-1 th order coefficients of the wideband signal, where α kb Is the k-1 th order term coefficient of the wideband signal.
Step S8: the frequency modulation slope of the declivity signal is obtained according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and the declivity signal is utilized to declivity the broadband signal, and the specific process is as follows:
obtaining expression Sigmatch of broadband signal according to zero order coefficient, primary order coefficient, secondary order coefficient and tertiary order coefficient of broadband signal b (t)＝exp[j2π((α 1 +α 2b t+α 3b t 2 +α 4b t 3 ))]
Obtaining the frequency modulation slope alpha of the declassified signal according to the expression of the broadband signal 3b +α 4b And t, obtaining a declivity signal conjugated with the broadband signal according to the frequency modulation slope of the declivity signal, and performing declivity processing on the broadband signal by using the secondary term and the tertiary term of the declivity signal for counteracting the broadband signal.
In order to intuitively understand the scheme of the present invention, as shown in fig. 2, a schematic timing diagram of a wideband pulse and a narrowband pulse is shown, where the wideband pulse is a wideband signal of the present invention, and the narrowband pulse is a narrowband LFM signal of the present invention, and the timing sequence of the wideband pulse and the narrowband pulse is formed by a plurality of wideband-narrowband pulse matching pulse sequences, where each wideband-narrowband pulse matching pulse sequence includes N narrowband LFM signals with different frequency modulation slopes and one wideband signal.
According to the technical scheme, the wideband polynomial phase signal declining method under the guidance of the narrowband signals, provided by the invention, is based on a plurality of continuous narrowband LFM signals with different waveforms, so that the extraction of waveform parameters of a space target wideband signal is realized, no extra hardware cost is required to be added, an existing radar imaging signal processing system is not changed, the calculation load is small, the declining signal frequency modulation slope is obtained through the quadratic term coefficient and the cubic term coefficient of the wideband signal, the declining signal is obtained through the declining signal frequency modulation slope, the declining signal is utilized to declinize the wideband signal, the precise declining real-time declining aiming at the wideband signal is realized, the declining effect is good, and meanwhile, the waveform parameters of the wideband signal have important application value to the radar precise imaging field and the subsequent target identification.
Example 2
Corresponding to embodiment 1 of the present invention, embodiment 2 of the present invention further provides a wideband polynomial phase signal deskewing apparatus under narrowband signal guidance, the apparatus including:
the transmitting module is used for transmitting a plurality of continuous narrowband LFM signals;
the receiving module is used for acquiring pulse echoes of a plurality of continuous narrowband LFM signals;
the delay correlation processing module is used for carrying out delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals;
the first Fourier transform module is used for traversing all the narrow-band echo delay signals, taking the value at fixed time, and carrying out fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal;
the second Fourier transform module is used for compensating the pulse echo of each narrowband LFM signal according to the quadratic term coefficient and the cubic term coefficient estimated by each narrowband echo delay signal, and carrying out Fourier transform on the compensated result to obtain the quadratic term coefficient and the zero-order term coefficient estimated by each narrowband echo delay signal;
the first broadband signal coefficient acquisition module is used for acquiring the cubic term coefficient of the broadband signal according to the cubic term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal;
the second broadband signal coefficient acquisition module is used for acquiring k-1 times of coefficients of the broadband signals according to the k-1 times of coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2 or 3;
and the declivity module is used for obtaining the frequency modulation slope of the declivity signal according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and declivity processing is carried out on the broadband signal by utilizing the declivity signal.
Specifically, the ith narrowband LFM signal in the transmitting module is
Figure GDA0004264785240000131
Wherein i=1, 2,..n, N is the total number of narrowband LFM signals, S i (t) is the ith narrowband LFM signal, j is the imaginary symbol, e () As an exponential function based on e, f 0 For the common working frequency point of all narrowband LFM signals, the narrowband LFM signals and the broadband signals share the same working frequency point, k i Frequency modulation slope of ith narrowband LFM signal, B i Is the amplitude of the i-th narrowband LFM signal.
Specifically, the expression of the pulse echo in the receiving module is that
Figure GDA0004264785240000141
Wherein S is r i (t) is the ith pulse echo, alpha 1i 、α 2i 、α 3i And alpha 4i The zero order term coefficient, the first order term coefficient, the second order term coefficient and the third order term coefficient of the ith narrowband LFM signal respectively, A i Is the echo amplitude of the i-th narrowband LFM signal.
Specifically, the delay related processing module is further configured to: delaying the ith pulse echo by tau components to obtain an ith narrow-band echo delay signal
Figure GDA0004264785240000142
Wherein (alpha) 3i +3α 4i t) is the instantaneous frequency of the ith narrowband echo delay signal.
Specifically, the first fourier transform module is further configured to: by the formula
Figure GDA0004264785240000143
Obtaining a first intermediate quantity->
Figure GDA0004264785240000144
And a second intermediate amount->
Figure GDA0004264785240000145
Time values t1 and t2 can obtain the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000146
The third order term coefficient of the narrow-band echo delay signal estimation can be obtained according to the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure GDA0004264785240000147
And quadratic term coefficient->
Figure GDA0004264785240000148
Respectively is
Figure GDA0004264785240000151
Specifically, the second fourier transform module is further configured to: compensating pulse echo of each narrowband LFM signal according to the quadratic term coefficient and the cubic term coefficient estimated by each narrowband echo delay signal to obtain compensationResults after
Figure GDA0004264785240000152
For the compensated result, the result is calculated by the formula
Figure GDA0004264785240000153
Performing Fourier transform to obtain a first order coefficient of each narrowband echo delay signal estimation>
Figure GDA0004264785240000154
And zero order term coefficient->
Figure GDA0004264785240000155
Specifically, the first wideband signal coefficient acquisition module is further configured to: by the formula
Figure GDA0004264785240000156
Acquiring a cubic coefficient of a broadband signal, wherein alpha 4b Is the third order coefficient of the wideband signal, beta br Is the frequency modulation slope of the wideband signal,/->
Figure GDA0004264785240000157
Is the third order coefficient, beta, of the estimated ith narrowband LFM signal i Is the chirp rate of the i-th narrowband LFM signal.
Specifically, the second wideband signal coefficient acquisition module is further configured to: by the formula
Figure GDA0004264785240000158
Obtaining the linear relation between the frequency modulation slope of the narrowband LFM signal and the k-1 th order coefficient, wherein beta 1i Frequency modulation slope beta of ith narrowband LFM signal 2j For the frequency modulation slope of the jth narrowband LFM signal, pa1 and pa2 are the first and second parameters, respectively
Figure GDA0004264785240000159
Figure GDA00042647852400001510
Figure GDA00042647852400001511
For the k-1 th order term coefficients of the estimated i-th narrowband LFM signal,
Figure GDA00042647852400001512
k-1 th order term coefficients for the estimated jth narrowband LFM signal;
by the formula alpha kb ＝β br Pa1+pa2 obtaining the k-1 th order coefficients of the wideband signal, where α kb Is the k-1 th order term coefficient of the wideband signal.
Specifically, the declivity module is further configured to:
obtaining expression Sigmatch of broadband signal according to zero order coefficient, primary order coefficient, secondary order coefficient and tertiary order coefficient of broadband signal b (t)＝exp[j2π((α 1 +α 2b t+α 3b t 2 +α 4b t 3 ))]
Obtaining the frequency modulation slope alpha of the declassified signal according to the expression of the broadband signal 3b +α 4b And t, obtaining a declivity signal conjugated with the broadband signal according to the frequency modulation slope of the declivity signal, and performing declivity processing on the broadband signal by using the secondary term and the tertiary term of the declivity signal for counteracting the broadband signal.
The above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims (10)

1. A method for wideband polynomial phase signal deskewing under narrowband signal steering, the method comprising:
step one: transmitting a plurality of continuous narrowband LFM signals;
step two: acquiring pulse echoes of a plurality of continuous narrowband LFM signals;
step three: performing delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals;
step four: traversing all the narrow-band echo delay signals, taking values at fixed time, and performing fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal;
step five: according to the quadratic term coefficient and the cubic term coefficient of each narrowband echo delay signal estimation, compensating the pulse echo of each narrowband LFM signal, and carrying out Fourier transform on the compensated result to obtain the primary term coefficient and the zero-order term coefficient of each narrowband echo delay signal estimation;
step six: obtaining the third term coefficient of the broadband signal according to the third term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal;
step seven: obtaining k-1 times term coefficients of the broadband signals according to the k-1 times term coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2, 3 or 4;
step eight: and obtaining the frequency modulation slope of the declivity signal according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and performing declivity processing on the broadband signal by using the declivity signal.
2. The wideband polynomial phase signal deskewing method according to claim 1, wherein the i-th narrowband LFM signal in the step one is
Figure FDA0004264785420000011
Wherein i=1, 2,..n, N is the total number of narrowband LFM signals, S i (t) is the ith narrowband LFM signal, j is the imaginary symbol, e () As an exponential function based on e, f 0 For the common working frequency point of all narrowband LFM signals, the narrowband LFM signals and the broadband signals share the same working frequencyPoints k i Frequency modulation slope of ith narrowband LFM signal, B i Is the amplitude of the i-th narrowband LFM signal.
3. The wideband polynomial phase signal deskewing method according to claim 2, wherein the pulse echo in step two is expressed as
Figure FDA0004264785420000021
Wherein S is r i (t) is the ith pulse echo, alpha 1i 、α 2i 、α 3i And alpha 4i The zero order term coefficient, the first order term coefficient, the second order term coefficient and the third order term coefficient of the ith narrowband LFM signal respectively, A i Is the echo amplitude of the i-th narrowband LFM signal.
4. A wideband polynomial phase signal deskewing method under narrowband signal steering as claimed in claim 3 wherein step three includes: delaying the ith pulse echo by tau components to obtain an ith narrow-band echo delay signal
Figure FDA0004264785420000022
Wherein (alpha) 3i +3α 4i t) is the instantaneous frequency of the ith narrowband echo delay signal.
5. The wideband polynomial phase signal deskewing method under narrowband signal steering of claim 4, wherein step four comprises: by the formula
Figure FDA0004264785420000023
Obtaining a first intermediate quantity->
Figure FDA0004264785420000024
And a second intermediate amount->
Figure FDA0004264785420000025
Time values t1 and t2 can obtain the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure FDA0004264785420000026
The third order term coefficient of the narrow-band echo delay signal estimation can be obtained according to the relation between the instantaneous frequency of the narrow-band echo delay signal and the first intermediate quantity and the second intermediate quantity
Figure FDA0004264785420000027
And quadratic term coefficient->
Figure FDA0004264785420000028
Respectively is
Figure FDA0004264785420000031
6. The wideband polynomial phase signal deskewing method under narrowband signal steering of claim 5, wherein step five comprises: according to the quadratic term coefficient and the cubic term coefficient estimated by each narrow-band echo delay signal, compensating the pulse echo of each narrow-band LFM signal to obtain a compensated result
Figure FDA0004264785420000032
For the compensated result, the result is calculated by the formula
Figure FDA0004264785420000033
Performing Fourier transform to obtain a first order coefficient of each narrowband echo delay signal estimation>
Figure FDA0004264785420000034
And zero order term coefficient->
Figure FDA0004264785420000035
7. The wideband polynomial phase signal deskewing method under narrowband signal steering of claim 1, wherein step six includes: by the formula
Figure FDA0004264785420000036
Acquiring a cubic coefficient of a broadband signal, wherein alpha 4b Is the third order coefficient of the wideband signal, beta br Is the frequency modulation slope of the wideband signal,/->
Figure FDA0004264785420000037
Is the third order coefficient, beta, of the estimated ith narrowband LFM signal i Is the chirp rate of the i-th narrowband LFM signal.
8. The wideband polynomial phase signal deskewing method under narrowband signal steering of claim 7, wherein step seven comprises: by the formula
Figure FDA0004264785420000038
Obtaining the linear relation between the frequency modulation slope of the narrowband LFM signal and the k-1 th order coefficient, wherein beta 1i Frequency modulation slope beta of ith narrowband LFM signal 2j For the frequency modulation slope of the jth narrowband LFM signal, pa1 and pa2 are the first and second parameters, respectively, and +.>
Figure FDA0004264785420000039
Figure FDA00042647854200000310
For the k-1 th order coefficient of the estimated i-th narrowband LFM signal,/I>
Figure FDA00042647854200000311
K-1 th order term coefficients for the estimated jth narrowband LFM signal;
by the formula alpha kb ＝β br Pa1+pa2 obtaining the k-1 th order coefficients of the wideband signal, where α kb Is the k-1 th order term coefficient of the wideband signal.
9. The wideband polynomial phase signal deskewing method under narrowband signal steering of claim 8, wherein step eight comprises:
obtaining expression Sigmatch of broadband signal according to zero order coefficient, primary order coefficient, secondary order coefficient and tertiary order coefficient of broadband signal b (t)＝exp[j2π((α 1 +α 2b t+α 3b t 2 +α 4b t 3 ))]
Obtaining the frequency modulation slope alpha of the declassified signal according to the expression of the broadband signal 3b +α 4b And t, obtaining a declivity signal conjugated with the broadband signal according to the frequency modulation slope of the declivity signal, and performing declivity processing on the broadband signal by using the secondary term and the tertiary term of the declivity signal for counteracting the broadband signal.
10. A wideband polynomial phase signal deskewing apparatus under narrowband signal steering, the apparatus comprising:
the transmitting module is used for transmitting a plurality of continuous narrowband LFM signals;
the receiving module is used for acquiring pulse echoes of a plurality of continuous narrowband LFM signals;
the delay correlation processing module is used for carrying out delay correlation processing on each pulse echo to obtain a plurality of narrow-band echo delay signals;
the first Fourier transform module is used for traversing all the narrow-band echo delay signals, taking the value at fixed time, and carrying out fractional Fourier transform to obtain a quadratic term coefficient and a cubic term coefficient estimated by each narrow-band echo delay signal;
the second Fourier transform module is used for compensating the pulse echo of each narrowband LFM signal according to the quadratic term coefficient and the cubic term coefficient estimated by each narrowband echo delay signal, and carrying out Fourier transform on the compensated result to obtain the quadratic term coefficient and the zero-order term coefficient estimated by each narrowband echo delay signal;
the first broadband signal coefficient acquisition module is used for acquiring the cubic term coefficient of the broadband signal according to the cubic term coefficient and the frequency modulation slope of the ith narrowband echo delay signal and the frequency modulation slope of the broadband signal;
the second broadband signal coefficient acquisition module is used for acquiring k-1 times of coefficients of the broadband signals according to the k-1 times of coefficients of the ith and jth narrowband echo delay signals, the frequency modulation slope and the frequency modulation slope of the broadband signals, wherein the value of k is 1,2 or 3;
and the declivity module is used for obtaining the frequency modulation slope of the declivity signal according to the quadratic term coefficient and the cubic term coefficient of the broadband signal, and declivity processing is carried out on the broadband signal by utilizing the declivity signal.
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