CN113433512B - Method for suppressing interference on dense false targets of LFM pulse compression radar - Google Patents
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- G—PHYSICS
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- 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
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- G01S7/28—Details of pulse systems
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- G—PHYSICS
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- 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
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- G01S7/28—Details of pulse systems
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- G01S7/292—Extracting wanted echo-signals
- G01S7/2923—Extracting wanted echo-signals based on data belonging to a number of consecutive radar periods
- G01S7/2927—Extracting wanted echo-signals based on data belonging to a number of consecutive radar periods by deriving and controlling a threshold value
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- 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
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Abstract
The invention belongs to the technical field of radar electronic countermeasure, and particularly relates to a method for suppressing interference of dense false targets for an LFM pulse compression radar. When the traditional dense false targets are used for suppressing interference, the distances and amplitudes of the false targets are mostly distributed in a disordered manner, and internal false targets or edge false targets in a generated false target group are often detected by a radar by using a constant false alarm algorithm of multi-target detection such as SO-CFAR, SO that the positions of the false target group and a real target are exposed, and the effect of suppressing interference is poor or completely ineffective. According to the method, by designing the relevant parameters of the sampled forwarded signals, the complete coverage of the false targets and the edge false targets in the false target group and the suppression interference on the real radar echo signals are realized under the SO-CFAR constant false alarm detection method, the potential danger brought to the real targets due to the exposure of the false target positions when the dense false targets perform the suppression interference is solved, the interference effect when the dense false targets perform the suppression interference is improved, and the method has good practicability.
Description
Technical Field
The invention belongs to the technical field of radar electronic countermeasure, and particularly relates to a method for suppressing interference on dense false targets of an LFM pulse compression radar.
Background
The pulse compression radar can utilize the coherence of radar signals in or among pulses, so that common interference signals cannot obtain higher matching gain during pulse compression, and the interference effect of common interference is greatly reduced. Dense false target interference is used as a main interference means, the characteristic that an LFM pulse compression radar receiver has higher frequency gain and phase gain to radar echoes is utilized, the DRFM digital storage technology is adopted to store and forward radar signals, a plurality of false targets can be generated at a radar receiving end, and deception interference or suppression interference to an LFM pulse compression radar is realized. When the traditional dense false targets are used for suppressing interference, the distances and amplitudes of the false targets are mostly distributed in a disordered manner, and internal false targets or edge false targets in a false target group generated by the traditional dense false targets are often detected by a radar through a constant false alarm algorithm aiming at multi-target detection by using SO-CFAR (minimum selection constant false alarm), SO that the false target group and the real target position are exposed, and the interference suppression effect is poor or completely ineffective. Therefore, the design of the relevant parameters of the dense false target interference signals is needed, so as to realize the complete coverage of the false targets and the edge false targets in the false target group under the corresponding constant false alarm detection method and suppress the interference to the real radar echo signals.
Disclosure of Invention
In order to solve the defects and defects of the existing dense false target interference technology, the invention provides dense false target interference which is used for orderly forwarding after radar signals are sampled, and aims to solve the problem that the existing dense false target interference is easy to detect false targets and edge false targets in a false target group by an SO-CFAR (minimum selection constant false alarm) detection algorithm when suppressing interference.
The technical scheme of the invention is as follows:
a method of mitigating interference to LFM pulse compression radar dense decoys, comprising the steps of:
s1, determining the signal-to-noise ratio of the LFM pulse compression radar echo after pulse compression:
wherein Pt, Gt and Gr are respectively the transmitting power of a radar transmitter and the gains of a transmitting antenna and a receiving antenna, lambda is the wavelength of a radar signal, sigma is the reflection area of a target, Rt represents the distance from the target to the radar, k and T0 are respectively a Boltzmann constant and a noise temperature, B is the frequency bandwidth of the radar signal, F is the noise coefficient of the radar receiver, D is a pulse compression ratio, M is the number of coherent accumulation, and gamma is a pulse accumulation factor;
s2, determining the signal-to-noise ratio of a false target required for covering the echo of the real target and the false target in the interference group under the SO-CFAR detection:
wherein χ is the signal-to-noise ratio of the target detecting unit i Is the signal-to-noise ratio of the false target in the reference window, N is the number of reference units,
in order to achieve the desired detection probability,
is the false alarm probability;
s3, determining the minimum false target signal-to-noise ratio chi of interference group edge under SO-CFAR detection e ：
Wherein,
the probability density function of the detection threshold T satisfies the following formula:
where α is a threshold factor
β 2 Power as background noise;
s4, determining the number n of false targets in a single false target group:
and (3) carrying out iterative computation by using a formula (2) to sequentially obtain the signal-to-noise ratio of each false target, wherein the signal-to-noise ratio of the interference signal at the edge of the interference group needs to satisfy the following formula:
χ≤χ e (6)
when the signal-to-noise ratio is less than or equal to x e The number of the false targets accumulated in time is the number n of the false targets in one interference group;
s5, determining the forwarding time interval of the sampling signal:
wherein L is the radar reference window length and c is the speed of light;
s6, determining the sampling period of the radar signal:
wherein T is radar pulse duration, n is the number of the needed false targets, and B is radar pulse bandwidth;
s7, determining the forwarding time length tau of the sampling signal:
signal-to-noise ratio between decoys within a decoy group and sampling duty cycle of a forwarded sampling target
Related to and satisfying the following relation:
wherein τ is n 、τ m The sampling duration, χ, of the nth and mth decoys, respectively n 、χ m The signal-to-noise ratios of the nth false target and the mth false target are respectively obtained;
s8, receiving radar signals at intervals of T s Sampling for one time, forwarding for n times with unequal time length according to the parameter n obtained in the step S4 after each sampling, wherein the time interval of each forwarding is determined by the parameter t obtained in the step S5, and the time length of the n-th forwarding is determined by the parameter tau obtained in the step S7 n And (6) determining.
The invention combines a classical dense false target generation method to sample the received radar signal and repeatedly transmit the parameters designed according to the invention. The forwarded signals generate a group of false targets with orderly decreasing amplitude from the center to two sides and orderly spacing at the radar receiving end, SO that each reference window of the SO-CFAR at least contains one false target, the true target echo is located at the center of the group of false targets as much as possible, the true target echo can be suppressed by the main false target, the inner false target in the interference group can be suppressed by the outer false target, and the most marginal false target in the interference group can be suppressed by the environmental noise by the design parameters of the invention.
Drawings
FIG. 1 is a schematic illustration of a squashing disturbance according to the present invention;
FIG. 2 is a result diagram of the radar signal after being sampled and irregularly forwarded and then detected by SO-CFAR;
FIG. 3 is a diagram of the results of SO-CFAR detection after forwarding parameters calculated according to the algorithm of the present invention.
Detailed Description
The specific parameter calculation method comprises the following steps:
the method comprises the following steps: determining signal-to-noise ratio of radar echo of LFM pulse compression radar
The signal-to-noise ratio can be determined by the following formula:
wherein Pt, Gt, Gr are the transmission power of the radar transmitter, the gains of the transmitting antenna and the receiving antenna, respectively, λ is the wavelength of the radar signal, σ is the reflection area of the target, Rt represents the distance from the target to the radar, k, T0 are the boltzmann constant and the noise temperature, respectively, B is the frequency bandwidth of the radar signal, F is the noise coefficient of the radar receiver, D is the pulse compression ratio, M is the number of coherent accumulation, and γ is the pulse accumulation factor.
Step two: determining the signal-to-noise ratio of a false target required for suppressing a true target echo and a false target in an interference group under SO-CFAR detection
In order to ensure that the main false target can cover the echo of the real target and the false target can be covered by the secondary false target under the SO-CFAR detection, the signal-to-noise ratio relationship between the covering signal and the covered signal needs to be calculated. In the false target group, at least one false target interference is distributed in the reference window of the target unit, and the situation that only one false target interference exists in the reference window is analyzed, SO that the signal-to-noise ratio of the target unit and the signal-to-noise ratio of the interference in the reference window under SO-CFAR constant false alarm detection need to meet the following requirements:
wherein χ is the signal-to-noise ratio of the target detecting unit i Is the signal-to-noise ratio of the false target in the reference window, N is the number of reference units,
in order to achieve the desired detection probability,
is the false alarm probability.
Step three: determining minimum false target signal-to-noise ratio chi of interference group edge under SO-CFAR detection e
Due to the unique characteristic of the algorithm of the SO-CFAR, the detection threshold of the edge false target in a certain interference group is determined by the ambient noise outside the detection threshold, the SO-CFAR reference window of the edge false target is white noise, and under the condition of a square rate detector, the probability density function of the detection threshold T meets the following formula:
where N is the number of reference units, α is a threshold factor, β 2 Is the power of the background noise. When a detection unit is detected, the average detection probability of the unit is expressed as follows:
at the same time, at the noise backUnder the condition of white noise
So that the three formulas are combined to obtain the compound,
step four: determining the number of decoys n within a single decoy group
The signal-to-noise ratio of each false target can be obtained in turn by using the formula (2) to perform iterative computation, and the signal-to-noise ratio of the interference signal at the edge of the interference group needs to satisfy the following formula:
χ≤χ e (6)
when the signal-to-noise ratio is less than or equal to x e The number of the false targets accumulated in time is the number n of the false targets in one interference group;
step five: determining a retransmission time interval of a sampled signal
If at least one false target exists in the front and back half reference window ranges of the detection unit for improving the detection threshold of the unit where the true target is located, the forwarding interval time t should satisfy:
where L is the radar reference window length and c is the speed of light.
Step six: determining a sampling period for a radar signal
The sampling period of the radar signal influences the distance between interference groups, and the wrong sampling period can influence the interference groups to each other, so that the suppression of interference fails. Interference sampling period T for radar signal to ensure no overlap between interference groups s The following requirements should be satisfied:
where T is the radar pulse time width, B is the radar pulse bandwidth, n is the number of false targets needed in an interference group, and T is the sample signal forwarding interval.
Step seven: determining the retransmission time τ of a sampled signal
Signal-to-noise ratio between decoys within a decoy group and sampling duty cycle of a forwarded sampling target
And satisfies the following relationship:
wherein tau is n 、τ m The sampling duration, χ, of the nth and mth decoys, respectively n 、χ m The signal-to-noise ratios of the nth decoy and the mth decoy, respectively.
Step eight: for received radar signals at intervals of T s Sampling for one time, forwarding for n times with unequal time length according to the parameter n obtained in the step S4 after each sampling, wherein the time interval of each forwarding is determined by the parameter t obtained in the step S5, and the time length of the n-th forwarding is determined by the parameter tau obtained in the step S7 n And (6) determining.
The interference suppression schematic diagram is shown in fig. 1, wherein a group of false targets S with sequentially decreasing amplitudes from the center to two sides and sequentially spaced intervals are generated at the radar receiving end by the forwarding signal i Enabling each reference window of the SO-CFAR to contain at least one false target, enabling the real target echo S to be located in the center of the group of false targets as much as possible, and enabling the real target echo S to be subjected to main false target S 0 Suppressing inner decoys S inside the interference group i Can be used by the outer decoys S i+1 Whereas decoys at the very edges of the interfering clusters can be suppressed by ambient noise.
The following simulation experiments further show and explain the technical effects of the invention.
1. Simulation conditions and contents:
simulation experiment by MATLAB simulation software is realized, radar signals adopt linear frequency modulation signals, and the transmitting power of the radar signals is 10 6 W, the gain of the radar transmitting and receiving antenna is 30dB, and the target reflection area is 10m 2 The pulse width T of the radar signal is 100us, the signal bandwidth is 10MHz, the wavelength is 0.1m, the modulation slope k of the LFM signal is B/T, the sampling frequency of the jammer to the radar signal is 48Mhz, the target distance radar is 40km, the jammer is 1km ahead relative to the target, the number of reference units is 8, the length of a radar reference window is 300m, and the constant false alarm probability P is FA ＝10 -6 Setting a detection probability P for the detection unit d ＝0.1。
Simulation 1, sampling radar signals and irregularly forwarding the radar signals to form a result diagram of dense false target interference after SO-CFAR constant false alarm detection, as shown in FIG. 2.
Simulation 2, a result diagram of SO-CFAR constant false alarm detection of dense false target interference formed after radar signals are sampled and forwarded according to parameters calculated by the algorithm of the invention, as shown in FIG. 3.
2. And (3) simulation result analysis:
referring to fig. 2, after the sampled radar signal is irregularly forwarded, under the detection of the SO-CFAR, although the threshold of the detection unit where the echo of the real target is located can be raised, SO as to suppress interference on the real target, the false target at the edge of the interference group cannot be covered by environmental noise due to a large signal-to-noise ratio, SO that the false target is detected, and a risk of position exposure is brought to the real target.
Referring to fig. 3, fig. 3 is a diagram showing the results of SO-CFAR constant false alarm detection after regular forwarding of parameters according to the present invention. According to the algorithm of the invention, the relevant parameters of the forwarding signal are set, SO that under the SO-CFAR detection, the interference signal in the interference group can be successfully suppressed by the secondary interference signal, and the interference signal at the edge of the interference group can be suppressed by the environment white noise, thereby realizing the covering of the whole interference group on the basis of successfully suppressing the interference on the real target echo, and avoiding the risk brought to the real target due to the exposure of the false target position.
Compared with the existing technology for suppressing interference of the dense false targets, the method has the characteristics that on the basis of suppressing interference on the echo of the real target, through the design of relevant parameters of interference signals, false targets in a false target group can be mutually covered under SO-CFAR constant false alarm detection, the common false target exposure problem caused by the interference of the dense false targets is solved, and the potential threat brought to the real target by the fact that the radar detects the false target by using an SO-CFAR constant false alarm detection algorithm is avoided.
Claims (1)
1. A method for suppressing interference on dense false targets of an LFM pulse compression radar is characterized by comprising the following steps:
s1, determining the signal-to-noise ratio of the LFM pulse compression radar echo after pulse compression:
wherein Pt, Gt and Gr are respectively the transmitting power of a radar transmitter and the gains of a transmitting antenna and a receiving antenna, lambda is the wavelength of a radar signal, sigma is the reflection area of a target, Rt represents the distance from the target to the radar, k and T0 are respectively a Boltzmann constant and a noise temperature, B is the frequency bandwidth of the radar signal, F is the noise coefficient of the radar receiver, D is the pulse compression ratio, M is the number of coherent accumulation, and gamma is an accumulation factor;
s2, determining the signal-to-noise ratio of a false target required for covering the echo of the real target and the false target in the interference group under the SO-CFAR detection:
wherein χ is the signal-to-noise ratio of the target detecting unit i Is the signal-to-noise ratio of the false target in the reference window, N is the number of reference units,
to want to achieveThe probability of the detection of the arrival,
is the false alarm probability;
s3, determining the minimum false target signal-to-noise ratio chi of interference group edge under SO-CFAR detection e ：
Wherein,
the probability density function of the detection threshold T satisfies the following formula:
where α is a threshold factor
β 2 Power as background noise;
s4, determining the number n of false targets in a single false target group:
after the true echo signal-to-noise ratio is obtained by using the formula (1), iterative calculation is performed by using the formula (2) to sequentially obtain the signal-to-noise ratio of each false target, and the signal-to-noise ratio of the interference signal at the edge of the interference group needs to satisfy the following formula:
χ≤χ e (6)
when the signal-to-noise ratio is less than or equal to x e The number of the false targets accumulated in time is the number n of the false targets in one interference group;
s5, determining the forwarding time interval of the sampling signal:
wherein L is the radar reference window length and c is the speed of light;
s6, determining the sampling period of the radar signal:
wherein T is radar pulse duration, n is the number of the needed false targets, and B is radar pulse bandwidth;
s7, determining the forwarding time length tau of the sampling signal:
signal-to-noise ratio between decoys within a decoy group and sampling duty cycle of a forwarded sampling target
And satisfies the following relationship:
wherein τ is n 、τ m The sampling duration, χ, of the nth and mth decoys, respectively n 、x m The signal-to-noise ratios of the nth false target and the mth false target respectively;
s8, receiving radar signals at intervals of T s Sampling once, forwarding for n times of unequal duration according to the parameter n obtained in the step S4 after each sampling, wherein the time interval of each forwarding is determined by the parameter t obtained in the step S5, and the duration of the nth forwarding is determined by the parameter tau obtained in the step S7 n And (6) determining.
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