Direction of Arrival Estimation Method for l-Type Coprime Arrays Based on Coupling Tensor Decomposition

Abstract

The invention discloses a method for estimating the direction of arrival of an L-type coprime array based on coupled tensor decomposition, which mainly solves the problems of damaged multi-dimensional signal structure and loss of associated information of virtual domain signals in the existing methods. The implementation steps are as follows: L-shaped coprime array with separate sub-arrays and modeling of the received signal; deduce the fourth-order covariance tensor of the received signal of the L-shaped coprime array; derive the fourth-order virtual domain signal corresponding to the augmented virtual uniform cross array; translational segmentation The virtual uniform cross array; the coupled virtual domain tensor is constructed by superimposing and shifting the virtual domain signals; the DOA estimation result is obtained by decomposing the coupled virtual domain tensor. The present invention makes full use of the spatial association properties of the constructed sub-array split L-shaped coprime array virtual domain tensor statistics, realizes high-precision two-dimensional DOA estimation through coupled virtual domain tensor processing, and can be used for target positioning .

Description

technical field [0001] The invention belongs to the technical field of array signal processing, and in particular relates to a statistical signal processing technology based on multi-dimensional sparse array virtual domain high-order statistics, specifically an L-type coprime array direction-of-arrival estimation method based on coupled tensor decomposition, which can be used for target setting. Background technique [0002] As a sparse array with a systematic structure, the coprime array has the advantages of large aperture, high resolution, and high degree of freedom. It can break through the limitation of the Nyquist sampling rate and improve the comprehensive performance of DOA estimation. In order to achieve DOA estimation matching the Nyquist sampling rate in the coprime array scenario, the common practice is to derive the coprime array received signal to a second-order statistical model, and realize the virtual domain-based Direction of arrival estimation for signal ...

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Problems solved by technology

[0004] The purpose of the present invention is to propose a method for estimating the direction of arrival of an L-type coprime array based on coupling tensor decomposition for the problems of damaged multi-dimensional signal structure and loss of information associated with virtual domain signals existing in the existing methods, in order to establish an L-type coprime array DOA estimation method. Mass array augments the relationship between virtual domain and tensor signal modeling, and fully mines the associated information of multidimensional virtual domain tensor statistics to achieve high-precision two-dimensional direction of arrival estimation, providing a feasible idea and an effective solution

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