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V-Shaped Sparse Arrays for 2-D DOA Estimation

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Abstract

This paper proposes a new sparse array geometry for 2-D (azimuth and elevation) direction-of-arrival (DOA) estimation. The proposed array geometry is V-shaped sparse array, and it is composed of two linear portions which are crossing each other. The degrees of freedom of the sparse array are enhanced by sparse sampling property. In this respect, V-shaped coprime (VCA) and V-shaped nested array (VNA) structures are developed. VCA can resolve both azimuth and elevation angles up to MN sources with \(2M + N -1\) sensors in each portion, and the total number of sensors is \(4M+2N-3\). VNA can resolve \(O(N^2)\) sources with 2N sensors. Instead of 2-D grid search, the proposed method computes 1-D search for azimuth and elevation angle estimation in a computational efficient way. In order to solve the pairing problem in 2-D scenario, the cross-covariance matrix of two portion is utilized and 2-D paired DOA estimation is performed. The performance of the proposed method is evaluated with numerical simulations, and it is shown that the proposed array geometries VCA and VNA can provide much less sensors as compared to the conventional coprime planar arrays.

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  1. Department of Electrical and Electronics Engineering, Duzce University, 81620, Duzce, Turkey

    Ahmet M. Elbir

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Elbir, A.M. V-Shaped Sparse Arrays for 2-D DOA Estimation. Circuits Syst Signal Process 38, 2792–2809 (2019). https://doi.org/10.1007/s00034-018-0991-5

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