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Evaluation method of undetermined wave arrival direction of non-uniform array

A direction of arrival estimation and non-uniform technology, applied in the field of signal processing, can solve the problems of signal-to-noise ratio loss, huge calculation amount, failure to use all array elements of the virtual array, etc., to avoid loss and avoid angle grid search , the effect of reducing computational complexity

Active Publication Date: 2016-03-16
XIDIAN UNIV
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Problems solved by technology

One of the representative methods is the spatial smoothing (SS)-MUSIC algorithm proposed by P.Pal and P.P.Vaidyanathan in "Nested arrays: Anovel approach to array processing with enhanced degrees of freedom", but this method fails to use all array elements of the virtual array when performing DOA estimation, thus lead to a certain loss of signal-to-noise ratio
Another representative method is the sparse signal reconstruction method proposed by Y.D.Zhang, M.G.Amin, and B.Himed in "Sparsity-basedDOAestimationusingco-primearrays", which uses the sparsity of the signal spectrum for DOA estimation, but realizes Algorithms for this approach usually require a huge amount of computation

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Embodiment Construction

[0033] The content and effects of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0034] refer to figure 1 , the implementation steps of the present invention are as follows:

[0035] Step 1: Estimate the covariance matrix of the non-uniform array according to the received data x(t) of the array

[0036] 1a) For a non-uniform linear antenna array with given K array elements, set the array element position as:

[0037] v=[v 1 ,v 2 ,...,v i ,...,v K ]d,

[0038] where v i is the i-th array element position coefficient, i=1,2,...,K, d is the array element interval, and the value is half the signal wavelength;

[0039] 1b) Set the target n from the angle θ n The steering vector incident to the array is expressed as:

[0040] a ( θ n ) = [ e ...

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Abstract

The invention discloses an evaluation method of the undetermined wave arrival direction of a non-uniform array. The problem of quite high computing complexity in the prior art is mainly solved. The evaluation method comprises steps of firstly constructing a virtual array by use of a covariance matrix for receiving array data; then obtaining observation data of a difference synthesis array by use of data of whole virtual array elements; then carrying out decorrelation by constructing a Toeplitz matrix used for observing data to replace the traditional space smooth operation and evaluating subspace of signals and noise; and at last using the subspace of the noise to construct a polynomial about a MUSIC spectrum and using the solution of the polynomial to evaluate wave arrival direction. Thus, angle grid searching with many computations is avoided; evaluation precision which is higher than that of the traditional SS-MUSIC algorithm can be obtained in a quite low computation complexity; and the evaluation method can be used for evaluating target directions.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to a method for estimating a direction of arrival, which is used for estimating azimuth of a target. Background technique [0002] Direction of Arrival (DOA) estimation is an important research direction in radar and sonar signal processing. As we all know, for a uniform linear array with N array elements, the maximum number of targets that can be resolved by traditional DOA estimation methods, such as MUSIC and ESPRIT, is N-1. The problem of underdetermined DOA estimation, that is, DOA estimation where the number of targets is greater than the number of array elements, often appears and arouses extensive research interest. One of the effective ways to solve this problem is to use an equivalent virtual array to improve the DOA estimation degree of freedom, which is obtained by vectorizing the covariance matrix of the received signal of a specially designed non...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S7/41G01S7/539
CPCG01S7/41G01S7/539
Inventor 杨明磊陈伯孝孙磊
Owner XIDIAN UNIV
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