Direction of arrival estimation method for three-dimensional coprime cubic array based on cross-correlation tensor

Abstract

The invention discloses a method for estimating the direction of arrival of a three-dimensional coprime cubic array based on a cross-correlation tensor, which mainly solves the problems of multi-dimensional signal structural information loss and Nyquist mismatch in the existing method. The implementation steps are: Construct 3D coprime cubic array; tensor modeling of signals received by 3D coprime cube array; calculate 6D second-order cross-correlation tensor statistics; derive equivalent signal tensor of 3D virtual uniform cubic array based on cross-correlation tensor dimension merge transformation ; Construct 4D virtual domain signal tensor based on mirror augmentation of 3D virtual uniform cubic array; Construct signal and noise subspace in Kronecker product form through virtual domain signal tensor decomposition; Obtain direction of arrival estimation results based on 3D spatial spectral search. The invention establishes the correlation between the cross-correlation tensor statistics of the three-dimensional coprime cubic array and the multi-dimensional virtual domain, realizes the direction of arrival estimation of Nyquist matching, 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 of multi-dimensional space sparse array virtual domain statistics, specifically a method for estimating the direction of arrival of a three-dimensional coprime cubic array based on cross-correlation tensor, which can be used for target positioning . Background technique [0002] As a typical systematic sparse array architecture, the coprime array has the advantages of large aperture and high resolution, and can break through the performance bottleneck of traditional uniform array DOA estimation. Since the sparse arrangement of coprime array elements does not satisfy the Nyquist sampling rate, in order to achieve Nyquist matching DOA estimation, the common practice is to derive the coprime array received signal to a second-order statistical model, as An augmented virtual uniform array is constructed, and its c...

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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 a three-dimensional coprime cubic array based on cross-correlation tensors in order to solve the problems of multi-dimensional signal structural information loss and Nyquist mismatch existing in existing methods, and to construct a three-dimensional coprime cubic array DOA estimation method. The multi-dimensional virtual domain of the prime cube array is associated with the cross-correlation tensor statistics, and the use of the structured information of the cross-correlation virtual domain signal tensor to realize the direction of arrival estimation of the Nyquist match provides a feasible idea and an effective solution

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