A Coprime Array Robust Adaptive Beamforming Algorithm Based on Matrix Filling

Abstract

The present invention proposes a coprime array robust adaptive beamforming algorithm based on matrix filling, including: calculating the sample covariance matrix of the received data; vectorizing the sample covariance matrix to obtain a vector, and then performing de-redundancy and vector re- Arrange to get the received data vector of the complete coprime array differential optimization array; fill in all 0s between the discontinuous elements in the received data vector to obtain the vector, and then obtain the information of the positive half of the vector to obtain the vector; The vector is expanded into a Toeplitz matrix; the Toeplitz matrix is ​​restored to obtain a filled covariance matrix; the spectrum peak search is performed in the angle area of ​​the interference signal to obtain the estimation of the angle of arrival of each interference signal; the estimated angle of arrival of the interference signal is used, and The physical array information of the coprime array and the interference plus noise covariance matrix of the coprime array physical array are reconstructed; the weight vector of the adaptive beamformer is calculated by using the interference plus noise covariance matrix and the estimation of the desired signal steering vector.

Description

technical field [0001] The invention belongs to the field of array signal processing algorithms, in particular to a coprime array robust adaptive beamforming algorithm based on matrix filling. Background technique [0002] Adaptive beamforming is one of the core technologies in array signal processing and is widely used in fields such as mobile communications, radar, medical imaging, and sonar detection. Adaptive beamforming technology can adaptively change the weight vector of the array antenna according to the received training sequence or communication signal, so as to achieve the purpose of suppressing interference and receiving the desired signal without distortion. The adaptive beamforming technology has been proved by theory and practice that it is very sensitive to problems such as the error of the steering vector of the desired signal, the error of the covariance matrix, and the insufficient number of sampling snapshots. The factors causing these errors mainly incl...

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Problems solved by technology

At present, the algorithms of articles on coprime array adaptive beamforming can only use the ULA part composed of a part of the continuous array elements of the coprime array differential optimization array to process the received signal of the virtual array, and the differential optimization array of the coprime array has Many holes, therefore, these algorithms cannot take advantage of the full degrees of freedom of coprime virtual arrays

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