Sparsity-based extrapolation for direction-of-arrival estimation using co-prime arrays

Elie BouDaher, Fauzia Ahmad, Moeness G. Amin · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2016

In this paper, we employ a sparsity-based imputation technique to extend the usable portion of the difference coarray of a co-prime array for direction-of-arrival (DOA) estimation. The degrees-of-freedom (DOFs) offered by a co-prime array cannot be fully utilized for subspace-based DOA estimation due to the presence of holes in the corresponding difference coarray. The proposed imputation approach is first employed to fill the holes in the difference coarray, thereby increasing the available DOFs. MUSIC with spatial smoothing is then applied to the combined set of actual and imputed measurements for direction finding. Supporting numerical results are provided that validate the performance enhancements offered by the proposed approach.

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