Non-uniform array design and direction of arrival (DOA) estimation method

Abstract

The invention discloses a non-uniform array design and direction of arrival (DOA) estimation method and mainly aims at solving the problems that arrangement is inflexible and computation complexity isrelatively high in the prior art. A realization process of the method comprises the following steps: according to maximum freedom degree of a nested array, determining head and tail position coefficients of a non-uniform array; calculating position coefficients of all the virtual array element positions meeting the non-uniform array and contained in a differential synthetic matrix; according to the position coefficients, finally obtaining positions of array elements of the non-uniform array; according to received data, calculating a data covariance matrix and vectorizing, so that received data r of a virtual differential synthetic array is obtained; performing redundancy elimination on the r and sorting to obtain received data of a virtual array, and then obtaining a non-singular matrix vof the virtual array; constructing a linear operator, and obtaining a signal subspace by estimating the linear operator; and constructing a selection matrix to obtain a rotation matrix, and finally estimating a direction of arrival by virtue of the rotation matrix. The method disclosed by the invention has the advantages that array configuration is flexible, characteristic decomposition does notneed to be performed on the data covariance matrix and spectral peak search does not need to be performed on the whole airspace angle under the same conditions.

Description

technical field [0001] The invention belongs to the technical field of array signal processing, and in particular relates to a non-uniform array design and a method for estimating the direction of arrival. Through flexible array arrangement, the direction of arrival is estimated for multiple airspace target sources. Background technique [0002] In the field of modern array signal processing, direction of arrival estimation (hereinafter referred to as DOA estimation) occupies an important position. Traditional DOA estimation is mainly performed by MUSIC method, ESPRIT method and its derivative methods. For a uniform linear array with a total number of array elements of N, the maximum number of targets in the airspace that can be identified by traditional DOA estimation methods is N-1. In practice, the number of airspace targets is greater than the number of array elements, and the traditional DOA estimation method using a uniform linear array less than the number of targets ...

AI Technical Summary

Problems solved by technology

The coprime array is composed of two uniform linear sub-arrays with the number of array elements M and N respectively, where M and N are coprime integers. Although the coprime array can obtain the degree of freedom DOF of the redundant number of array elements, its construction The virtual array is not a completely filled uniform linear array, so that only a part of the virtual array constructed by the coprime array can be used in the DOA estimation, which reduces the degree of freedom and the array aperture

[0003] Since each sub-array of nested arrays and coprime arrays is composed of uniform linear sub-arrays, this often leads to the problem that it is impossible to find a reasonable location for the installation of its sub-array elements in the case of airborne radar or limited physical space At the same time, the new algorithm proposed by the non-uniform array, the invention name is the DOA estimation method based on the nested sub-array array, the public (announcement) number: CN105824002A, the proposed method uses the MUSIC algorithm spectrum after the data covariance matrix eigendecomposition Peak search for DOA estimation; and the invention name is nested array based on K-R subspace direction of arrival estimation method, public (announcement) number: CN107544051A, the proposed sparse signal reconstruction method utilizes the sparsity of the signal spectrum to perform DOA estimation ; These two methods usually require a huge amount of calculation when performing DOA estimation

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