The invention discloses a method for estimating the direction of arrival of MIMO radar based on a nested array, which mainly solves a problem that the early radar is low in resolution for the direction of arrival and small in number of recognized signal sources Implementation of the method comprises the steps of 1) building a nested array based MIMO radar model, and acquiring a target return signal; 2) performing snapshot sampling, matched filtering and vectorization on the target return signal in sequence, and acquiring vectorized receiving data y; 3) estimating a covariance matrix Ryy of the receiving data y, and performing vectorization on the covariance matrix Ryy to acquire an observation vector z; 4) removing repeated elements of the observation vector z to acquire virtual differential array receiving data z1; 5) dividing the virtual differential array receiving data z1 into N1 pieces of subarray receiving data, and acquiring a rank-recovery receiving data covariance matrix Rss; 6) performing eigenvalue decomposition on the rank-recovery receiving data covariance matrix Rss to acquire a noise subspace EN; and 7) acquiring the direction of arrival according to a spectral function formed by the noise subspace EN The method disclosed by the invention improves the degree of freedom and the resolution of an MIMO radar system, and can be applied to radar target orientation detection

Method for estimating direction of arrival of MIMO radar based on nested array

The invention discloses a waveform optimized design method for a frequency controlled array MIMO radar system, aiming to solve the problem that too much test data is to be processed for obtaining distance, angle, and resolution of high dimension Doppler The implementation process is: 1) according to the target environment requirement, determining the transmitting carrier frequency, frequency increment, antenna quantity, and waveform code element length of the frequency controlled array MIMO radar; 2) according to a received data model, constructing decoupling between transmitted waveforms and virtual steering vectors; 3) according to a constructed data matrix, determining the coherence of the data matrix; 4) according to the coherent characteristics of matrix completion, designing transmitting waveform of the frequency controlled array MIMO radar by use of optimized method By use of the method, through the transmitting waveform design for the frequency controlled array MIMO radar, the coherence of the received data is made as low as possible Therefore, the method has an advantage that smaller data quantity is needed when accurate target detection and estimation are obtained; the method can be applied in frequency controlled array MIMO radar waveform design

Waveform optimized design method for frequency controlled array MIMO radar system

The invention discloses a direction-of-arrival (DOA) angle estimation method based on a dual-layer nested array and mainly aims at solving the problems of heavy computation, low quantity of identified information sources and great estimation error in the prior art. The DOA angle estimation method comprises the following implementation steps: firstly, respectively constructing a first-layer nested array and a second-layer nested array; secondly, acquiring an output signal of the first-layer nested array and an output signal of the second-layer nested array; thirdly, calculating all fourth-order cumulants according to the output signal of the first-layer nested array and the output signal of the second-layer nested array to form a fourth-order cumulant vector; fourthly, constructing an over-complete base according to the fourth-order cumulant vector, and defining an airspace sparse vector; fifthly, converting detection of an airspace DOA angle estimation into solving of a sparse constraint equation; sixthly, obtaining a most sparse solution of the airspace sparse vector by using a convex optimization method; seventhly, drawing an amplitude spectrum according to the most sparse solution to obtain the DOA angle. According to the DOA angle estimation method disclosed by the invention, the quantity of information sources which can be identified is greatly increased under the condition of limited array element quantity; the DOA angle estimation method can be used for target reconnaissance and passive location.

Direction-of-arrival (DOA) angle estimation method based on dual-layer nested array

The invention discloses a no-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation, and mainly solves a problem of information loss caused by the heterogeneity of a virtual array in the prior art The method comprises the implementation steps: constructing a co-prime array at a receiving end; receiving an incident signal through the co-prime array, and carrying out the modeling; calculating an equivalent virtual signal corresponding to the receiving signal of the co-prime array; constructing an interpolation virtual array, and carrying out the modeling; constructing a multi-sampling snapshot signal of the interpolation virtual array and a sampling covariance matrix; constructing a projection matrix, and defining projection calculation correlated with the projection matrix; designing an optimization problem based on the minimization of the nuclear norm of the signal covariance matrix of the interpolation virtual array, and solving the optimization problem; and carrying out the estimation of the DOA according to the reconstructed covariance matrix of the interpolation virtual array The method improves the DOA estimation freedom degree and resolution, and can be used for the passive positioning and target detection

No-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation

The invention discloses a co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction, and mainly solves a problem of information loss caused by the heterogeneity in a virtual array in the prior art. The method comprises the implementation steps: constructing a co-prime array at a receiving end; receiving an incident signal through the co-prime array, and carrying out the modeling; calculating an equivalent virtual signal corresponding to the signal received by the co-prime array; constructing an interpolation virtual array and carrying out the modeling; constructing a multi-sampling snapshot signals of the interpolation virtual array and a sampling covariance matrix; constructing a projection matrix, and defining projection calculation related with the projection matrix; constructing a reference covariance matrix according to all information in an original virtual array, designing an optimization problem based on the interpolation virtual array covariance matrix Toeplitz reconstruction, and solving the optimization problem; and carrying out the DOA estimation according to the reconstructed interpolation virtual array covariance matrix. The method improves the freedom degree and resolution of signal DOA estimation, and can be used for the passive positioning and target detection.

Co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction

The invention discloses a compressed sensing-based multi-input and multi-output radar two-dimensional angle estimation method. The main objective of the invention is to solve the problems of low accuracy and large computation amount in MIMO (multi-input and multi-output) radar two-dimensional angle estimation in the prior art. The method includes the following steps that: 1) a uniform linear array model is established, and uniform array output signals are obtained; 2) a direction of arrival output uniform linear matrix and an emission angle output uniform linear matrix are respectively constructed through the output signals, and a direction-of-arrival covariance matrix and an emission angle covariance matrix are calculated; 3) a direction of arrival observation vector and an emission angle observation vector as well as a direction of arrival fitting error and an emission angle fitting error are respectively constructed through the elements of the direction of arrival covariance matrix and the emission angle covariance matrix, and a direction of arrival super complete set and an emission angle super complete set are constructed; and 4) the optimal sparse solution of the directions of arrival and the optimal sparse solution of emission angles can be calculated according to the spare relationship between the direction of arrival and emission angle observation vector and the direction of arrival and emission angle super complete set, and a direction of arrival amplitude spectrogram and an emission angle amplitude spectrogram are drawn. With the method of the invention adopted, the operating rate of passive direction finding and angle estimation accuracy under a low signal to noise ratio can be improved. The method can be used for target detection and passive location.

Compressed sensing-based multi-input and multi-output radar two-dimensional angle estimation method

The invention discloses a dual-layer-hybrid-array-based estimation method for a direction angle of arrival. With the method, problems of high operation load, a few of identification signal sources, and large estimation error in the prior art can be solved. The method comprises the following steps: (1), a one-layer coprime array and a two-layer nesting array are constructed respectively; (2), an output signal of the one-layer coprime array and an output signal of the two-layer nesting array are obtained; (3), on the basis of the output signal of the one-layer coprime array and the output signal of the two-layer nesting array, all four-order cumulants are calculated to form a four-order cumulant vector; (4), according to the four-order cumulant vector, an over-complete base is constructed and an airspace sparse vector is defined; (5), detection airspace direction-angle-of-arrival estimation is converted into sparse constraint equation solving; (6), with a convex optimization method, a sparest solution of an airspace sparse vector is obtained; and (7), an amplitude spectrogram is drawn based on the sparest solution and a direction angle of arrival is obtained. According to the method provided in the invention, the signal source number with identifiable arrays increases substantially under the circumstance that the array element number is limited. The method is suitable for target scouting and passive location.

Dual-layer-hybrid-array-based estimation method for direction angle of arrival

The invention discloses a nested array direction-of-arrival angle estimation method based on fourth-order cumulants, and mainly aims to solve the problem that the utilization rate of array elements is low and only a small number of signals are identified in the prior art. The method is implemented by the steps as follows: (1) building a one-layer nested array and a two-layer nested array; (2) acquiring the output signal of the one-layer nested array and the output signal of the two-layer nested array; (3) calculating all fourth-order cumulants according to the output signal of the one-layer nested array and the output signal of the two-layer nested array; (4) constructing a fourth-order cumulant matrix according to all the fourth-order cumulants; (5) calculating the noise subspace of the fourth-order cumulant matrix; (6) calculating the space spectrum according to the noise subspace of the fourth-order cumulant matrix and an array manifold matrix; and (7) drawing an amplitude spectrogram according to the space spectrum to get the direction-of-arrival angle. The number of signal sources identified by an array is increased greatly under a limited number of array elements. The method is suitable for target reconnaissance and passive location.

Nested array direction-of-arrival angle estimation method based on fourth-order cumulants

The invention discloses a method for simulating a time domain signal of a complicated electromagnetic environment based on variable sampling rate, which mainly solves the problem of abnormal working of electronic equipment due to low calculation speed in the prior art. The method comprises the following implementing steps of (1) determining the numbers and parameters of radar transmitters and communication transmitters; (2) calculating the sampling frequencies of transmission signals of the radar transmitters and communication transmitters, so as to obtain the total sampling frequency of the transmission signals of the radar transmitters and communication transmitters; (3) calculating the frequency spectrums of the transmission signals of the radar transmitters and communication transmitters; (4) calculating the signal amplitudes and shift frequency spectrums of the radar transmitters and communication transmitters at an observation point according to the signal frequency spectrum; (5) calculating the stacked frequency spectrum of the radar transmitters and communication transmitters at the observation point; (6) calculating a time domain simulating signal of the transmission signals of the radar transmitters and communication transmitters according to the stacked frequency spectrum. The method has the advantages that the calculation amount is greatly reduced, the response speed of the electronic equipment is improved, and the mutual interference of electromagnetic equipment is avoided.

Method for simulating time domain signal of complicated electromagnetic environment based on variable sampling rate

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