Co-prime area array two-dimensional direction-of-arrival estimation method based on structured virtual domain tensor signal processing
A direction estimation and signal processing technology, applied in radio wave direction/bias determination systems, directional devices for determining directions, direction finders using radio waves, etc., and can solve problems such as loss of degrees of freedom
Active Publication Date: 2020-09-04
ZHEJIANG UNIV
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[0004] The purpose of the present invention is to solve the problem of loss of degrees of freedom existing in existing methods, and propose a two-dimensional DOA estimation method based on structured virtual domain tensor signal processing for coprime arrays. Domain and tensor space are associated, fully excavating the structural information of 2D virtual domain, and using virtual domain tensor structural construction and virtual domain tensor decomposition to realize 2D DOA estimation under underdetermined conditions, which provides a feasible solution. ideas and effective solutions
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[0072] The technical solution of the present invention will be described in further detail below with reference to the accompanying drawings.
[0073] In order to solve the problem of the degree of freedom performance loss existing in the existing tensor method, the present invention proposes a two-dimensional DOA estimation method based on the tensor signal processing of the structured virtual domain. , virtual domain tensor signal construction, virtual domain tensor decomposition, etc., to establish the connection between the coprime array virtual domain and the second-order statistics of the tensor signal, so as to realize the two-dimensional DOA estimation under the underdetermined condition . refer to figure 1 , the implementation steps of the present invention are as follows:
[0074] Step 1: Construct a coprime surface array. Use 4M on the receiving end x m y +N x N y -1 physical antenna element to build a coprime array, such as figure 2 Shown: Construct a pair...
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The invention discloses a co-prime area array two-dimensional direction-of-arrival estimation method based on structured virtual domain tensor signal processing. The method mainly solves the problemsof information loss and degree of freedom loss of a multi-dimensional space structure in existing methods, and comprises the following implementation steps: constructing a co-prime area array; carrying out tensor modeling of a co-prime area array receiving signal; deriving a co-prime area array virtual domain second-order equivalent signal based on tensor signal cross-correlation statistic transformation; constructing a co-prime area array virtual domain three-dimensional tensor signal; constructing a five-dimensional virtual domain tensor based on a virtual domain tensor dimension extension strategy; forming a structured virtual domain tensor containing three-dimensional space information; and through structured virtual domain tensor CANDECOMP / PARACFAC decomposition, obtaining two-dimensional direction-of-arrival estimation. According to the method, a structured virtual domain tensor signal processing framework is constructed based on statistical analysis of co-prime area array tensorsignals, so that multi-source two-dimensional direction-of-arrival estimation under an underdetermined condition is realized on the basis of guaranteeing performances such as resolution and estimation precision, and the method can be used for multi-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 the second-order statistic of a sparse plane array virtual domain, specifically a coprime plane array two-dimensional direction of arrival based on a structured virtual domain tensor signal processing Estimation method that can be used for multi-object localization. Background technique [0002] As a typical systematic sparse array architecture, the coprime array can break through the bottleneck of the limited degree of freedom of the traditional uniform array. In order to increase the degree of freedom, the common practice is to deduce the coprime array received signal to the virtual domain to realize the augmentation of the array, and use its corresponding second-order virtual domain equivalent received signal for statistical processing. In order to improve the degrees of freedom of 2D DOA estimati...
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CPCG01S3/143
Inventor 郑航周成伟史治国王勇陈积明
Owner ZHEJIANG UNIV