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Spatial smoothing-based covariance matrix rank minimization direction-of-arrival (DOA) estimation method

A covariance matrix, spatial smoothing technology, applied in the field of signal processing, can solve the problem of performance degradation of DOA estimation algorithm

Active Publication Date: 2018-04-13
DALIAN UNIV
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is to propose a DOA estimation method based on spatial smoothing covariance matrix rank minimization to solve the problem of DOA estimation algorithm performance degradation under coherent signal and non-uniform noise conditions

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  • Spatial smoothing-based covariance matrix rank minimization direction-of-arrival (DOA) estimation method

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[0062] The implementation steps of the present invention will be further described in detail below in conjunction with the accompanying drawings. Such as figure 1 shown.

[0063] Step 1: Build a Received Signal Model

[0064] Consider the incident angle as {θ 1 ,θ 2 ,…,θ L} L far-field narrowband signals is incident to a uniform linear array with M array elements, then the array output signal model at time t can be expressed as:

[0065]

[0066] Among them, x(t) is the received signal vector, is the array steering vector of the lth source, α=2πdsin(θ l ) / λ is the phase difference between adjacent array elements, d and λ are the array element spacing and signal wavelength respectively, usually d≤λ / 2; n(t)=[n 1 (t),n 1 (t),...,n M (t)] is uncorrelated non-uniform Gaussian noise, and n(t)~CN(0,Q), Q is the non-uniform noise covariance power matrix; narrowband signal s l (t) are not correlated with each other.

[0067] For the convenience of derivation, the recei...

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Abstract

The invention belongs to the signal processing field and relates to a receiving signal covariance matrix rank minimization direction-of-arrival (DOA) estimation method based on a spatial smoothing method. The invention aims to solve the problems of low angle estimation poor accuracy and low resolution of a traditional direction-of-arrival (DOA) estimation method under a condition of coherent signals and non-uniform noises. According to the receiving spatial covariance matrix rank minimization direction-of-arrival (DOA) estimation method based on the spatial smoothing method of the invention, on the basis of the traditional spatial smoothing method, a receiving signal covariance matrix is pre-multiplied and post-multiplied by an exchange matrix separately, so that a spatial backward smoothing covariance matrix can be obtained; the covariance matrix is reconstructed to be a noiseless covariance matrix based on the low-rank feature of the smoothing matrix; and finally a traditional MUSIC(multiple signal classification) algorithm is adopted to achieve DOA estimation. Numerical simulations show that the algorithm provided by the invention can better suppress the influence of non-uniform noises and has high DOA estimation performance under a coherent condition compared with traditional MUSIC, MC-MUSIC and RTM algorithms.

Description

technical field [0001] The invention belongs to the field of signal processing, and in particular relates to a method for improving DOA estimation performance under coherent signals and non-uniform noise. Background technique [0002] In the fields of radar, sonar, mobile communication, seismic sensing and underwater detection, the estimation of direction of arrival (DOA) has always been one of the hot research directions and has attracted extensive attention. Among many DOA estimation methods, subspace algorithms such as multiple signal classification (MUSIC) can significantly improve the estimation performance of DOA, and have higher estimation accuracy and resolution. However, under the condition of coherent signal and non-uniform noise, due to the rank deficiency of the signal covariance matrix and the non-uniformity of its main diagonal elements, the main eigenvectors of the covariance matrix eigenspace cannot span the entire signal space, which leads to The performanc...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/00
CPCG01S3/00
Inventor 王洪雁房云飞于若男
Owner DALIAN UNIV
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