L-type co-prime array direction of arrival estimation method based on coupling tensor decomposition

Abstract

The invention discloses an L-type co-prime array direction of arrival estimation method based on coupling tensor decomposition, which mainly solves the problems of damage to a multi-dimensional signal structure and loss of virtual domain signal associated information in the existing method, and comprises the following implementation steps of: constructing an L-type co-prime array with split sub-arrays, and carrying out received signal modeling; deriving a fourth-order covariance tensor of an L-type co-prime array receiving signal; deriving a fourth-order virtual domain signal corresponding to an augmented virtual uniform cross array; performing translation segmentation on the virtual uniform cross array; constructing a coupled virtual domain tensor by superposing the translated virtual domain signals; and obtaining a direction-of-arrival estimation result through coupling virtual domain tensor decomposition. According to the method, the spatial correlation attributes of the virtual domain tensor statistics of the L-type co-prime array are split by the constructed sub-array, high-precision two-dimensional direction of arrival estimation is realized through coupling virtual domain tensor processing, and the method 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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