Method and system for detecting radar signal-source number based on density clustering, and terminal

A method for detecting radar signal-source number based on density clustering, comprising following steps:

• generating an antenna-array received-data representation based on target radar antenna-array information, obtaining a target covariance matrix based on the antenna-array received-data representation, performing a unitary transformation on the target covariance matrix to obtain a target transformation matrix, and generating a radius vector corresponding to the target transformation matrix according to Gerschgorin Disk Estimator;
• obtaining a noise background, and when the noise background is a Gaussian colored-noise background, compressing and standardizing the radius vector to obtain a target radius matrix;
• clustering the target radius matrix using a target clustering algorithm to obtain a clustering result;
• and,
• obtaining a target cluster based on the clustering result, and obtaining a number of radar signal sources based on the target cluster;
• wherein the step of generating an antenna-array received-data representation based on target radar antenna-array information, obtaining a target covariance matrix based on the antenna-array received-data representation, performing a unitary transformation on the target covariance matrix to obtain a target transformation matrix, and generating a radius vector corresponding to the target transformation matrix according to Gerschgorin Disk Estimator, comprises following steps:
• constructing an array steering vector corresponding to each signal source based on the target radar antenna-array information, generating a steering vector matrix based on the array steering vector, and generating the antenna-array received-data representation based on the steering vector matrix;
• obtaining the target covariance matrix and a covariance matrix of a radar echo signal both based on the antenna-array received-data representation;
• performing the unitary transformation on the target covariance matrix based on the covariance matrix of the radar echo signal to obtain the target transformation matrix;
• and,
• according to Gerschgorin Disk Estimator, obtaining a Gerschgorin-disk radius of each Gerschgorin disk from the target transformation matrix, and generating the radius vector based on the Gerschgorin-disk radius;
• wherein the step of performing the unitary transformation on the target covariance matrix based on the covariance matrix of the radar echo signal to obtain the target transformation matrix, comprises following steps:
• dividing the target covariance matrix into blocks based on the covariance matrix of the radar echo signal to obtain a result after division, and obtaining a principal submatrix based on the result after division;
• performing eigenvalue decomposition on the principal submatrix to obtain an eigenspace vector of the principal submatrix;
• and,
• constructing a unitary-transformation matrix based on the eigenspace vector, and performing a unitary-transformation operation on the eigenspace vector based on the unitary transformation matrix to obtain the target transformation matrix;
• wherein the step of obtaining a noise background, and when the noise background is a Gaussian colored-noise background, compressing and standardizing the radius vector to obtain a target radius matrix, comprises following steps:
• obtaining the noise background, and determining a type of the noise background;
• when the noise background is the Gaussian colored-noise background, compressing each Gerschgorin-disk radius of the radius vector based on the unitary-transformation matrix and a circle center of each Gerschgorin disk to obtain a plurality of compression radii;
• standardizing each compression radius to obtain a target radius of each Gerschgorin disk;
• and,
• generating the target radius matrix based on the target radius.

A system for detecting radar signal-source number based on density clustering, comprising:

• a radius-vector generation module, configured to generate an antenna-array received-data representation based on target radar antenna-array information, obtain a target covariance matrix based on the antenna-array received-data representation, perform a unitary transformation on the target covariance matrix to obtain a target transformation matrix, and generate a radius vector corresponding to the target transformation matrix according to Gerschgorin Disk Estimator;
• a target-radius-matrix generation module, configured to obtain a noise background, and when the noise background is a Gaussian colored-noise background, compress and standardize the radius vector to obtain a target radius matrix;
• a clustering-result generation module, configured to cluster the target radius matrix using a target clustering algorithm to obtain a clustering result;
• and,
• a result-output module, configured to obtain a target cluster based on the clustering result, and obtain a number of radar signal sources based on the target cluster;
• wherein the step of generating an antenna-array received-data representation based on target radar antenna-array information, obtaining a target covariance matrix based on the antenna-array received-data representation, performing a unitary transformation on the target covariance matrix to obtain a target transformation matrix, and generating a radius vector corresponding to the target transformation matrix according to Gerschgorin Disk Estimator, comprises following steps:
• constructing an array steering vector corresponding to each signal source based on the target radar antenna-array information, generating a steering vector matrix based on the array steering vector, and generating the antenna-array received-data representation based on the steering vector matrix;
• obtaining the target covariance matrix and a covariance matrix of a radar echo signal both based on the antenna-array received-data representation;
• performing the unitary transformation on the target covariance matrix based on the covariance matrix of the radar echo signal to obtain the target transformation matrix;
• and,
• according to Gerschgorin Disk Estimator, obtaining a Gerschgorin-disk radius of each Gerschgorin disk from the target transformation matrix, and generating the radius vector based on the Gerschgorin-disk radius;
• wherein the step of performing the unitary transformation on the target covariance matrix based on the covariance matrix of the radar echo signal to obtain the target transformation matrix, comprises following steps:
• dividing the target covariance matrix into blocks based on the covariance matrix of the radar echo signal to obtain a result after division, and obtaining a principal submatrix based on the result after division;
• performing eigenvalue decomposition on the principal submatrix to obtain an eigenspace vector of the principal submatrix;
• and,
• constructing a unitary-transformation matrix based on the eigenspace vector, and performing a unitary-transformation operation on the eigenspace vector based on the unitary transformation matrix to obtain the target transformation matrix;
• wherein the step of obtaining a noise background, and when the noise background is a Gaussian colored-noise background, compressing and standardizing the radius vector to obtain a target radius matrix, comprises following steps:
• obtaining the noise background, and determining a type of the noise background;
• when the noise background is the Gaussian colored-noise background, compressing each Gerschgorin-disk radius of the radius vector based on the unitary-transformation matrix and a circle center of each Gerschgorin disk to obtain a plurality of compression radii;
• standardizing each compression radius to obtain a target radius of each Gerschgorin disk;
• and,
• generating the target radius matrix based on the target radius.