Coprime matrix robust adaptive beamforming algorithm based on matrix filling

Abstract

The invention provides a coprime matrix robust adaptive beamforming algorithm based on matrix filling. The coprime matrix robust adaptive beamforming algorithm based on matrix filling comprises the following steps that a sample covariance matrix of received data is calculated; the sample covariance matrix is vectorized to obtain vectors, and then elimination of redundancy and vector rearrangementare carried out on the vectors to obtain the received data vectors of a complete coprime matrix differential optimization matrix; zero is arranged between elements with discontinuous wave range difference in the received data vectors in a filling mode to obtain the vectors, and then the vectors are obtained by taking information of the positive half part of the vectors; the vectors are expanded into a Toplitz matrix; the Toplitz matrix is restored to obtain a filled covariance matrix; spectral peak search is carried out in an interference signal angle region to obtain estimation of arrival angles of each interference signal; the estimated arrival angles of interference signals, the physical array information of a coprime array and an interference and noise covariance matrix which reconstructs a coprime array physical array are utilized; weighted vectors of an adaptive beamformer is calculated by using the estimation of the interference and noise covariance matrix and expected signal steering vectors.

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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