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arXiv · 2202.10148

Two-snapshot DOA Estimation via Hankel-structured Matrix Completion

Mohammad Bokaei·Saeed Razavikia·Arash Amini·Stefano Rini
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Abstract

In this paper, we study the problem of estimating the direction of arrival (DOA) using a sparsely sampled uniform linear array (ULA). Based on an initial incomplete ULA measurement, our strategy is to choose a sparse subset of array elements for measuring the next snapshot. Then, we use a Hankel-structured matrix completion to interpolate for the missing ULA measurements. Finally, the source DOAs are estimated using a subspace method such as Prony on the fully recovered ULA. We theoretically provide a sufficient bound for the number of required samples (array elements) for perfect recovery. The numerical comparisons of the proposed method with existing techniques such as atomic-norm minimization and off-the-grid approaches confirm the superiority of the proposed method.

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Mohammad Bokaei, Saeed Razavikia, Arash Amini, Stefano Rini. 2022-02-21. Two-snapshot DOA Estimation via Hankel-structured Matrix Completion. https://arxiv.org/abs/2202.10148

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