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DOA (Direction of Arrival) estimation method through second-order statistics reconstruction based on matrix completion

A second-order statistic and matrix completion technology, applied in the field of signal processing, can solve problems such as poor estimation accuracy and low resolution

Active Publication Date: 2018-01-05
DALIAN UNIV
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is to solve the problem of poor angle estimation accuracy and low resolution of the traditional DOA estimation algorithm under non-uniform noise, and proposes a DOA estimation method based on matrix completion for second-order statistic reconstruction

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  • DOA (Direction of Arrival) estimation method through second-order statistics reconstruction based on matrix completion

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[0109] In order to make the purpose, technical solution and advantages of the present invention clearer, the present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0110] The present invention proposes a second-order statistic reconstruction DOA estimation method based on matrix completion, and the specific steps of the method are:

[0111] Step 1: Build the received signal model

[0112] Suppose there are Q far-field narrowband signals is incident to a uniform linear array with M array elements, then the array received signal model can be expressed as:

[0113]

[0114] Among them, x(t) is M×1 signal receiving vector, s q (t) and a(θ q )=[1e -jα ...e -j(M-1)α ] T are the magnitude and array steering vector of the qth signal source respectively, α=2πsin(θ q ) / λ represents the phase shift when the qth signal between array elements arrives at this array element, {θ 1 ,θ 2 ,…,θ q ,...θ Q} is the e...

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Abstract

The invention belongs to the field of signal processing, and particularly relates to a DOA (Direction of Arrival) estimation method through second-order statistics reconstruction based on matrix completion. Based on the matrix completion theory, the DOA estimation method through second-order statistics reconstruction based on matrix completion is put forward. Firstly, based on the matrix completion method, an elastic regularization factor is introduced to reconstruct a received signal covariance matrix to a noise-free covariance matrix; under the second-order statistics domain, through matrixsummation averaging, a multi-vector problem of the noise-free covariance matrix is converted to a single-vector problem; and finally, a sparse reconstructed weighted l1 norm is used to realize DOA parameter estimation. Non-uniform noise influences can be significantly suppressed, the DOA parameter estimation performance is good, and in a condition of a low signal-to-noise ratio, the provided algorithm has high angle estimation precision and high resolution.

Description

technical field [0001] The invention belongs to the field of signal processing, and in particular relates to a DOA estimation method based on matrix completion for second-order statistic reconstruction. Background technique [0002] In the fields of radar, mobile communication, wireless sensor network and radio astronomy, the estimation of direction of arrival (DOA) is an important problem, which is usually called Direction Finding (DF) estimation or DOA estimation. Traditional DOA estimation algorithms based on signal and noise subspaces, such as Multiple Signal Classification (MUSIC) algorithm, can significantly improve the accuracy and resolution of DOA estimation. Subspace algorithms represented by the MUSIC method usually assume that the noise is complex white Gaussian noise with zero mean and variance of 1. However, when the noise added to the array sensor is non-uniform Gaussian noise, the eigenspace decomposition of the received signal covariance will cause signal s...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/14G01S3/74
Inventor 王洪雁房云飞郑佳乔惠娇裴炳南
Owner DALIAN UNIV
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