Abstract

In this paper, an aperture expanding direction finding algorithm using L-shaped non-uniform sparse array is proposed. Firstly, the virtual array is expanded by vectorizing, de-redundant and sorting of received data covariance matrix. Secondly, the full rank matrix is got by smoothing the virtual array data, and the signal subspace is obtained by matrix block processing. Finally, the elevation angle and azimuth angle are acquired by using the rotation invariant relation. The algorithm does not need to decompose the covariance matrix of the data, nor does it need to search the two-dimensional spectral peaks. It can greatly reduce the computational complexity when there are many array elements and large number of snapshots. The simulation results show that the sparse array arrangement can enlarge the array aperture, improve the parameter resolution and the accuracy of DOA estimation, and verify the effectiveness of the proposed algorithm.

Highlights

  • In far-field cases, the array steering vector matrix of uniform linear array is Vandermonde matrix, traditional direction of arrival (DOA) estimation algorithms, such as ESPRIT and forward-backward spatial smoothing algorithms, can be realized in the uniform linear array

  • The common defect is that, in this method, each subarray is composed of a uniform linear subarray, which often leads to the problem that it is unable to find a reasonable location for the subarray element installation in the actual engineering installation process when the airborne radar or physical space is limited

  • In the case of airborne radar or limited physical space, a kind of non-uniform array is proposed to solve the problem of the existing nested array not being flexible

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Summary

Introduction

In far-field cases, the array steering vector matrix of uniform linear array is Vandermonde matrix, traditional direction of arrival (DOA) estimation algorithms, such as ESPRIT and forward-backward spatial smoothing algorithms, can be realized in the uniform linear array. In [10], an extended two-level nested array was proposed; this type of array structure expanded the array aperture and improved the DOA estimation accuracy by vectorizing the received covariance data of the array and using a virtual array instead of an original array. The common defect is that, in this method, each subarray is composed of a uniform linear subarray, which often leads to the problem that it is unable to find a reasonable location for the subarray element installation in the actual engineering installation process when the airborne radar or physical space is limited For this reason, in [11], a kind of array with the same performance as the nested array was designed, with a more flexible array arrangement

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