CN116243251A - Main lobe deception jamming inhibition method based on waveform diversity and subspace projection - Google Patents

Main lobe deception jamming inhibition method based on waveform diversity and subspace projection Download PDF

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CN116243251A
CN116243251A CN202211602405.3A CN202211602405A CN116243251A CN 116243251 A CN116243251 A CN 116243251A CN 202211602405 A CN202211602405 A CN 202211602405A CN 116243251 A CN116243251 A CN 116243251A
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任丽香
刘子豪
范花玉
高宇航
强小敏
毛二可
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Beijing Institute of Technology BIT
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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
    • 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
    • G01S7/36—Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
    • 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
    • G01S7/41—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
    • G01S7/411—Identification of targets based on measurements of radar reflectivity
    • 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
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Abstract

The invention discloses a main lobe deception jamming inhibition method based on waveform diversity and subspace projection, which can effectively inhibit main lobe deception jamming in an intermittent sampling forwarding mode. The method comprises the following specific steps: step 1, designing the waveform of a transmitting signal to be an inter-pulse agile waveform according to interference parameters, and obtaining a receiving echo after the transmitting signal is transmitted by a radar. And step 2, adopting a reconstruction submodule to reconstruct the interference signal in the received echo, and obtaining a reconstruction result of the interference signal. And 3, carrying out reconstruction processing on the target signal in the received echo after the interference cancellation reconstruction result by adopting a reconstruction sub-module to obtain a reconstruction result of the target signal. And step 4, the reconstruction result of the target signal is eliminated from the received echo, the interference signal in the updated received echo is used as the input of the step 2, the step 2-3 is circularly executed until the iteration is completed, and the main lobe deception interference in the intermittent sampling forwarding mode can be effectively inhibited after a plurality of iterations.

Description

Main lobe deception jamming inhibition method based on waveform diversity and subspace projection
Technical Field
The invention belongs to the technical field of anti-interference, and particularly relates to a main lobe deception jamming inhibition method based on waveform diversity and subspace projection.
Background
As one of the most dominant interference modes, radar main lobe deception interference generates a high-fidelity echo signal through simulation, thereby confusing an enemy radar and affecting the detection and tracking of a real target. The most commonly used radar interference devices are digital radio frequency memories (Digital Radio Frequency Memory, DRFM), and the DRFM can generate interference signals in various modes by storing samples of radar signals and copying and modulating the samples.
The current most efficient main lobe spoofing jamming pattern based on DRFM is intermittent sampling forwarding jamming. The interference is repeated interception and forwarding of the radar transmitting signal, so that the interference signal and the radar transmitting signal are partially related, partial processing gain can be obtained in subsequent pulse compression and related accumulation, the requirement on transmitting power is reduced, meanwhile, due to the intermittent sampling forwarding working mode, the interference signal can form a plurality of false target groups after pulse compression, and the interference effects of suppression and deception can be achieved through the design of sampling time and forwarding times. Most of the current methods for resisting intermittent sampling forwarding interference take a linear frequency modulation (Linear Frequency Modulation, LFM) signal as a transmitting signal, a band-pass filter is constructed by extracting a target echo fragment without interference in a received echo, and the interference suppression is realized by carrying out band-pass filtering on the received echo after the declassification processing, or the target echo is directly reconstructed by carrying out sparse recovery on the target echo fragment extracted after the declassification processing. However, such methods require high signal-to-noise ratio and require target echo fragments that are not completely covered by interference, which is difficult to achieve in practical electronic warfare scenarios.
Main lobe spoofing interference in the form of intermittent sampling forwarding is currently the main threat faced by modern radars, and the existing method has limitation in suppressing intermittent sampling forwarding interference, so that a method capable of effectively suppressing the main lobe spoofing interference in the form of intermittent sampling forwarding is needed.
Disclosure of Invention
In view of the above, the invention provides a main lobe deception jamming inhibition method based on waveform diversity and subspace projection, which can effectively inhibit main lobe deception jamming in an intermittent sampling forwarding mode.
In order to achieve the above purpose, the technical scheme of the invention comprises the following steps:
step 1: the waveform of the transmitting signal is designed to be an inter-pulse agile waveform according to the interference parameters, and the receiving Echo is obtained after the transmitting signal is transmitted by the radar.
Step 2: the reconstruction submodule is adopted to reconstruct the interference signal in the received echo, and a reconstruction result R of the interference signal is obtained J 。
Step 3: employing reconstruction submodule for cancellation R J Performing reconstruction processing on the target signal in the received echo to obtain a reconstruction result R of the target signal T 。
Step 4: reconstruction result R of cancellation target signal from received echo T The updated interference signal in the received echo is used as the input of the step 2, the step 2 is returned, the step 2-3 is circularly executed until the set iteration times are reached, or the reconstruction result R of the target signal of the last iteration is reached T Reconstruction result R of target signal of current iteration T And (3) the difference value is smaller than a set threshold value, and a target result after interference reconstruction cancellation is obtained.
Further, the waveform of the transmitting signal is designed to be an inter-pulse agile waveform according to the interference parameter, specifically: estimating interference intermittent sampling width T using interference sensing technique j ＝[T j1 ,T j2 ,...,T jM ]And intermittent sampling period T s ＝[T s1 ,T s2 ,...,T sM ]Wherein M is an interference intermittent sampling sequence number, and M is the number of interference intermittent sampling times; constructing an envelope U of an interference intermittent sample in a transmitted signal J (t) envelope U of undisturbed samples T (t),; from U J (t) and U T (t) constructing an nth transmit signal u n And (t) sequentially designing N transmitted pulse signals to generate inter-pulse agile waveforms.
Further, the envelope U of the interference intermittent sampling J (t) is the number of the components,
Figure BDA0003995731400000021
wherein the method comprises the steps of
Figure BDA0003995731400000031
t is the time axis.
Envelope U of undisturbed samples in a transmitted signal T (t) is expressed as:
Figure BDA0003995731400000032
wherein T is p For the pulse width of the transmitted signal.
Setting the total N pulses of the transmitting signal, wherein the signal modulated in the pulse is s (t); modulating the primary phase of the interference intermittent sampling part of the nth transmitted signal
Figure BDA0003995731400000033
Partial modulation primary phase of undisturbed samples +.>
Figure BDA0003995731400000034
Then the nth transmit signal u n (t) is expressed as:
Figure BDA0003995731400000035
further, the reconstruction submodule comprises the following processing steps: inter-pulse phase compensation, fast time matched filter processing, subspace projection, fast time inverse matched filter processing, and recovering inter-pulse phase.
The inter-pulse phase compensation is specifically as follows: the inter-pulse modulation phase of each pulse is compensated for the input signal to obtain a compensated signal.
The fast time matched filtering process specifically comprises the following steps: setting reference signal pair compensation along a fast time dimensionThe obtained signal is subjected to matched filtering to obtain E 1 。
Subspace projection, specifically: pair E 1 Pulse Doppler PD processing is carried out along a slow time dimension, doppler frequency corresponding to peak points in PD processing results is extracted, a subspace projection matrix is constructed by using the Doppler frequency corresponding to the peak points, and a subspace projection matrix pair E is utilized 1 Projection of subspace to E 1 '。
The fast time inverse matched filtering process is as follows: pair E 1 And carrying out inverse matched filtering along a fast time dimension to obtain an inverse matched filtering result.
The inter-pulse phase recovery is specifically: and adding the inter-pulse modulation phase of each pulse to the inverse matched filtering processing result to obtain a reconstruction result.
Further, a reconstruction submodule is adopted to reconstruct an interference signal in the received echo, wherein an input signal of the reconstruction submodule is a reconstruction result of subtracting a target signal of the last iteration from the received echo; wherein the initial value of the reconstruction result of the target signal is set to 0.
The reconstruction processing process for the interference signal specifically comprises the following steps:
first compensating the received Echo for the interference modulation phase of each pulse
Figure BDA0003995731400000041
And along the fast time dimension to interfere with the sampling portion U J (t) ·s (t) is used as a reference signal to perform matched filtering on Echo to obtain E 1 Then to E 1 PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD processing result is extracted and marked as F j ＝[f j (1),f j (2),...,f j (K 1 )]，K 1 For different Doppler channel numbers where peak points are located, an interference subspace projection matrix P is constructed according to a formula (4) J ：
Figure BDA0003995731400000042
Wherein ( H Representing complex conjugate transpose, (. Cndot.) of -1 The inverse of the matrix is represented and,
Figure BDA0003995731400000043
represents the kronecker product, q= [0,1, ], N-1] T 。
Pair E 1 Performing subspace projection to obtain E' 1 ，
E' 1 ＝P J E 1 (5)
Then pair E 1 ' inverse matched filtering processing is carried out along the fast time dimension, and the interference modulation phase of each pulse is added
Figure BDA0003995731400000046
Obtaining an interference reconstruction result R J 。
Further, a reconstruction submodule is adopted to reconstruct a target signal in the received echo, and at the moment, an input signal of the reconstruction submodule is a reconstruction result of subtracting interference from the received echo.
The reconstruction processing process for the target signal specifically comprises the following steps:
first, the reconstructed interference R is canceled from the received Echo J Then compensating for the target modulation phase of each pulse
Figure BDA0003995731400000044
And along the fast time dimension to interfere with the non-sampled portion U T (t) ·s (t) is the reference signal pair (Echo-R) J ) Performing matched filtering to obtain E 2 Then PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD processing result is extracted and marked as F t ＝[f t (1),f t (2),...,f t (K 2 )]，K 2 For different Doppler channel numbers where peak points are located, a target subspace projection matrix is constructed according to formula (6).
Figure BDA0003995731400000045
And pair E 2 Performing subspace projection to obtain E' 2 ，
E' 2 ＝P T E 2 (7)
Then for E' 2 Inverse matched filtering along the fast time dimension and adding the target modulation phase of each pulse
Figure BDA0003995731400000047
Obtaining a reconstruction result R of the target T 。
The beneficial effects are that:
the invention provides a main lobe deception jamming inhibition method based on waveform diversity and subspace projection. According to the method, the difference of intermittent sampling forwarding interference signals and target echo signals in an echo domain is utilized, inter-pulse agile waveforms are designed to enable interference and targets to be decorrelated in a distance-Doppler domain, interference cancellation signals are reconstructed from received echoes by using a subspace projection method, target echo signals are reserved, and main lobe deception interference in an intermittent sampling forwarding mode can be effectively restrained through repeated iteration processing.
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FIG. 1 is a flow chart of the method according to the present invention;
FIG. 2 (a) is a three-dimensional view of PD processing results of simulated echoes after matched filtering;
FIG. 2 (b) is a distance-amplitude projection of PD processing results of simulated echoes after matched filtering;
FIG. 3 (a) is a three-dimensional view of PD processing results of simulated echoes processed by the method of the present invention;
FIG. 3 (b) is a graph showing the distance-amplitude projection of PD processing results from simulated echoes processed by the method of the present invention;
FIG. 4 (a) is a three-dimensional view of PD processing results of simulated echoes after matched filtering when interference parameter estimation is not in time;
FIG. 4 (b) is a distance-amplitude projection graph of PD processing results of simulated echoes after matched filtering when interference parameter estimation is not in time;
FIG. 5 (a) is a three-dimensional view of PD processing results of simulated echoes when interference parameter estimation is not in time;
FIG. 5 (b) is a distance-amplitude projection diagram of PD processing results of simulated echoes when interference parameter estimation is not in time;
Detailed Description
The invention will now be described in detail by way of example with reference to the accompanying drawings.
The most of the transmitting signals of the current search radar are LFM signals, because the method can realize large-time wide bandwidth product and simultaneously has good Doppler tolerance. However, the LFM signal is easily detected and acquired by the enemy jammer due to the simple modulation mode and fixed parameters, and is subjected to interference measures to influence the work of the own radar. The inter-pulse agile waveform can fully utilize the freedom degree of a waveform domain through agile of signal parameters among waveforms, so that the inter-pulse agile waveform has obvious advantages compared with LFM signals in the anti-interference field. The invention adopts a waveform diversity system and combines the difference of intermittent sampling forwarding interference signals and target echo signals in an echo domain, and designs inter-pulse agile waveforms to de-correlate interference and targets in a distance-Doppler domain, so that interference cancellation signals are reconstructed from received echoes by using a subspace projection method, target echo signals are reserved, and main lobe deception interference in an intermittent sampling forwarding mode can be effectively inhibited through repeated iterative processing.
As shown in fig. 1, the main lobe deception jamming inhibition method based on waveform diversity and subspace projection of the invention specifically comprises the following steps:
step 1: and designing an inter-pulse agile waveform according to the interference parameters. Estimating interference intermittent sampling width T using interference sensing technique j ＝[T j1 ,T j2 ,...,T jM ]And intermittent sampling period T s ＝[T s1 ,T s2 ,...,T sM ]Wherein M is the interference intermittent sampling sequence number, and M is the interference intermittent sampling frequency. Envelope U of the interference intermittent sample J (t) is the number of the components,
Figure BDA0003995731400000061
wherein the method comprises the steps of
Figure BDA0003995731400000062
t is the time axis. While envelope U of the transmitted signal, which is not sampled by the disturbance T (t) can be expressed as, (-)>
Figure BDA0003995731400000063
Wherein T is p For the pulse width of the transmitted signal. Since the interference signal does not contain a portion of the transmitted signal that is not sampled by the interference, this portion can be regarded as the target signal to be detected.
Let the transmitted signal have N pulses in total, the pulse modulated signal is s (t). Modulating the primary phase of the interference intermittent sampling part of the nth transmitted signal
Figure BDA0003995731400000071
Partial modulation primary phase of undisturbed samples +.>
Figure BDA0003995731400000072
Then the nth transmit signal u n (t) is represented by the formula,
Figure BDA0003995731400000073
j is an imaginary unit, and N pulses transmitted are sequentially designed by using the formula (3) to generate inter-pulse agile waveforms.
Step 2: and adopting a reconstruction submodule to reconstruct the interference signal. First compensating the received Echo for the interference modulation phase of each pulse
Figure BDA0003995731400000074
And along the fast time dimension to interfere with the sampling portion U J (t) ·s (t) is used as a reference signal to perform matched filtering on Echo to obtain E 1 Then to E 1 PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD processing result is extracted and marked as F j ＝[f j (1),f j (2),...,f j (K 1 )]，K 1 For different Doppler channel numbers where peak points are located, an interference subspace projection matrix is constructed according to a formula (4),
Figure BDA0003995731400000075
pair E 1 Performing subspace projection to obtain E' 1 ，
E' 1 ＝P J E 1 (5)
Then pair E 1 ' inverse matched filtering processing is carried out along the fast time dimension, and the interference modulation phase of each pulse is added
Figure BDA0003995731400000079
Obtaining an interference reconstruction result R J 。
Step 3: and adopting a reconstruction submodule to reconstruct the target signal. First, the reconstructed interference R is canceled from the received Echo J Then compensating for the target modulation phase of each pulse
Figure BDA0003995731400000076
And along the fast time dimension to interfere with the non-sampled portion U T (t) ·s (t) is the reference signal pair (Echo-R) J ) Performing matched filtering to obtain E 2 Then PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD processing result is extracted and marked as F t ＝[f t (1),f t (2),...,f t (K 2 )]，K 2 For different Doppler channel numbers where peak points are located, a target subspace projection matrix is constructed according to a formula (6),
Figure BDA0003995731400000077
and pair E 2 Performing subspace projection to obtain E' 2 ，
E' 2 ＝P T E 2 (7)
Then for E' 2 Inverse matched filtering along the fast time dimension and adding the target modulation phase of each pulse
Figure BDA0003995731400000078
Obtaining a reconstruction result R of the target T 。
Step 4: and (3) carrying out loop iteration until the algorithm converges to obtain a target result after interference reconstruction cancellation. Cancellation of reconstructed target R from received Echo T As an input to step 3, and performing step 2-3 in a loop until the set number of iterations is reached, or R T The difference value between the last reconstruction result and the current reconstruction result is smaller than the set threshold value, and the algorithm is ended.
The method of the invention is carried out on the reconstruction of the interference and the target in Doppler dimension, and when the interference parameter estimation is not correct, only the real intermittent sampling part of the interference is ensured to be contained in the designed U J In (t) ·s (t), only the interference distance dimension matching filtering result is distorted, but the doppler dimension is not distorted, so that the final interference suppression effect is not affected, and the robustness of the proposed algorithm is verified.
The beneficial effects of the invention are verified and illustrated:
in order to verify the interference suppression effect of the method, a main lobe deception interference scene adopting an intermittent sampling forwarding mode is subjected to comprehensive simulation test, and the distances and speeds of false targets generated by three intermittent sampling forwarding interference echo signals are respectively 102km and 100m/s in the simulation; 101.85km, 99m/s;102.15km, 101m/s, the distance and speed of the target are 102km, 100m/s; the signal-to-interference ratio is about 25dB and the signal-to-noise ratio is about 15dB. Fig. 2 (a) shows the PD processing result of the simulated echo after the matched filtering, and the false target generated by the visible interference signal in fig. 2 (b) obscures the real target, and seriously affects the detection of the real target. FIG. 3 (a) shows the PD processing result of the simulation echo processed by the method of the invention, the interference is effectively suppressed by the method of FIG. 3 (b), the interference-to-signal ratio after processing is less than-15 dB, and the effectiveness of the method of the invention in suppressing main lobe deception interference in intermittent sampling forwarding mode is proved. Further, in order to verify the robustness of the proposed algorithm, keeping the above simulation parameters unchanged, setting the interference real sampling width smaller than the designed T j Specifically, the interference real sampling width is 2 mu s, and the design T j FIG. 4 (a) shows the PD processing result of the simulation echo after matched filtering when the interference parameter estimation is not in time, as can be seen from FIG. 4 (b), because the design T j The distance dimension matching filtering result caused by the mismatch of the real sampling width of the interference is different from that of fig. 2 (b), but the generated false target still can mask the real target, and fig. 5 (a) and 5 (b) are PD processing results obtained by processing the simulation echo by the method provided by the invention when the interference parameter is estimated incorrectly.
In summary, the above embodiments are only preferred embodiments of the present invention, and are not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (6)

1. A main lobe deception jamming inhibition method based on waveform diversity and subspace projection is characterized by comprising the following steps:
step 1: the method comprises the steps of designing the waveform of a transmitting signal to be an inter-pulse agile waveform according to interference parameters, and obtaining a receiving echo after the transmitting signal is transmitted by a radar;
step 2: the reconstruction submodule is adopted to reconstruct the interference signal in the received echo, and a reconstruction result R of the interference signal is obtained J ；
Step 3: employing reconstruction submodule for cancellation R J Performing reconstruction processing on the target signal in the received echo to obtain a reconstruction result R of the target signal T ；
Step 4: reconstruction result R of cancellation target signal from received echo T The interference signal in the updated received echo is used as the input of the step 2, returns to the step 2, and circularly executes the step 2-3,until reaching the set iteration times or the reconstruction result R of the target signal of the last iteration T Reconstruction result R of target signal of current iteration T And (3) the difference value is smaller than a set threshold value, and a target result after interference reconstruction cancellation is obtained.
2. The main lobe deception jamming inhibition method based on waveform diversity and subspace projection as claimed in claim 1, wherein the waveform of the designed transmitting signal according to the jamming parameter is an inter-pulse agile waveform, specifically:
estimating interference intermittent sampling width T using interference sensing technique j ＝[T j1 ,T j2 ,,T jM ]And intermittent sampling period T s ＝[T s1 ,T s2 ,,T sM ]Wherein M is an interference intermittent sampling sequence number, and M is the number of interference intermittent sampling times;
constructing an envelope U of an interference intermittent sample in a transmitted signal J (t) envelope U of undisturbed samples T (t); from U J (t) and U T (t) constructing an nth transmit signal u n And (t) sequentially designing N transmitted pulse signals to generate inter-pulse agile waveforms.
3. The main lobe deception jamming suppression method based on waveform diversity and subspace projection as claimed in claim 2, wherein said jamming intermittent sampling envelope U J (t) is the number of the components,
Figure FDA0003995731390000021
wherein the method comprises the steps of
Figure FDA0003995731390000022
t is a time axis;
envelope U of undisturbed samples in a transmitted signal T (t) is expressed as:
Figure FDA0003995731390000023
wherein T is p Pulse width for the transmitted signal;
setting the total N pulses of the transmitting signal, wherein the signal modulated in the pulse is s (t); modulating the primary phase of the interference intermittent sampling part of the nth transmitted signal
Figure FDA0003995731390000024
Partial modulation primary phase of undisturbed samples +.>
Figure FDA0003995731390000025
Then the nth transmit signal u n (t) is expressed as:
Figure FDA0003995731390000026
4. a main lobe deception jamming suppression method based on waveform diversity and subspace projection as claimed in any one of claims 1 to 3, wherein said reconstruction submodule comprises the following processing steps: inter-pulse phase compensation, fast time matched filter processing, subspace projection, fast time inverse matched filter processing, and recovery of inter-pulse phase;
the inter-pulse phase compensation is specifically as follows: compensating the pulse-to-pulse modulation phase of each pulse for the input signal to obtain a compensated signal;
the fast time matched filtering process specifically comprises the following steps: the compensated signal is matched and filtered along the fast time dimension set reference signal to obtain E 1 ；
The subspace projection is specifically: pair E 1 Pulse Doppler PD processing is carried out along a slow time dimension, doppler frequency corresponding to a peak point in PD processing results is extracted, a subspace projection matrix is constructed by utilizing the Doppler frequency corresponding to the peak point, and E is obtained by carrying out subspace projection by utilizing the subspace projection matrix pair 1 '；
The fast time inverse matched filtering process specifically comprises the following steps: pair E 1 ' carrying out inverse matched filtering processing along a fast time dimension to obtain an inverse matched filtering processing result;
the recovery pulse phase is specifically: and adding the inter-pulse modulation phase of each pulse to the inverse matched filtering processing result to obtain a reconstruction result.
5. The main lobe deception jamming inhibition method based on waveform diversity and subspace projection as claimed in claim 4, wherein the reconstruction processing is carried out on the jamming signal in the received echo by adopting a reconstruction submodule, wherein the input signal of the reconstruction submodule is a reconstruction result of subtracting a target signal of the last iteration from the received echo; wherein the initial value of the reconstruction result of the target signal is set to 0;
the reconstruction processing process for the interference signal specifically comprises the following steps:
first compensating the received Echo for the interference modulation phase of each pulse
Figure FDA0003995731390000031
And along the fast time dimension to interfere with the sampling portion U J (t) ·s (t) is used as a reference signal to perform matched filtering on Echo to obtain E 1 Then to E 1 PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD processing result is extracted and marked as F j ＝[f j (1),f j (2),...,f j (K 1 )]，K 1 For different Doppler channel numbers where peak points are located, an interference subspace projection matrix P is constructed according to a formula (4) J ：
Figure FDA0003995731390000032
Wherein ( H Representing complex conjugate transpose, (. Cndot.) of -1 The inverse of the matrix is represented and,
Figure FDA0003995731390000033
represents the kronecker product, q= [0,1, ], N-1] T 。
Pair E 1 Performing subspace projection to obtain E' 1 ，
E' 1 ＝P J E 1 (5)
Then for E' 1 Performing inverse matched filtering along the fast time dimension, and adding interference modulation phase of each pulse
Figure FDA0003995731390000034
Obtaining an interference reconstruction result R J 。
6. The main lobe deception jamming inhibition method based on waveform diversity and subspace projection as claimed in claim 5, wherein the reconstruction processing is carried out on the target signal in the received echo by adopting a reconstruction submodule, and the input signal of the reconstruction submodule is the reconstruction result of the received echo minus the jamming;
the reconstruction processing process for the target signal specifically comprises the following steps:
first, the reconstructed interference R is canceled from the received Echo J Then compensating for the target modulation phase of each pulse
Figure FDA0003995731390000035
And along the fast time dimension to interfere with the non-sampled portion U T (t) ·s (t) is the reference signal pair (Echo-R) J ) Performing matched filtering to obtain E 2 Then PD processing is carried out along the slow time dimension, and Doppler frequency corresponding to peak point in PD result is extracted and marked as F t ＝[f t (1),f t (2),...,f t (K 2 )]，K 2 For different Doppler channel numbers where peak points are located, a target subspace projection matrix is constructed according to a formula (6),
Figure FDA0003995731390000041
and pair E 2 Performing subspace projection to obtain E' 2 ，
E' 2 ＝P T E 2 (7)
Then for E' 2 Inverse matched filtering along the fast time dimension and adding the target modulation phase of each pulse
Figure FDA0003995731390000042
Obtaining a reconstruction result R of the target T 。/>
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CN116430348A (en) * 2023-06-14 2023-07-14 北京理工大学 Space-time adaptive signal processing method based on initial phase agile pulse train waveform

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CN116430348A (en) * 2023-06-14 2023-07-14 北京理工大学 Space-time adaptive signal processing method based on initial phase agile pulse train waveform
CN116430348B (en) * 2023-06-14 2023-08-22 北京理工大学 Space-time adaptive signal processing method based on initial phase agile pulse train waveform

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