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arXiv · 2110.10756

Ambiguities in Direction-of-Arrival Estimation with Linear Arrays

Frederic Matter·Tobias Fischer·Marius Pesavento·Marc E. Pfetsch
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Abstract

In this paper, we present a novel approach to compute ambiguities in thinned uniform linear arrays, i.e., sparse non-uniform linear arrays, via a mixed-integer program. Ambiguities arise when there exists a set of distinct directions-of-arrival, for which the corresponding steering matrix is rank-deficient and are associated with nonunique parameter estimation. Our approach uses Young tableaux for which a submatrix of the steering matrix has a vanishing determinant, which can be expressed through vanishing sums of unit roots. Each of these vanishing sums then corresponds to an ambiguous set of directions-of-arrival. We derive a method to enumerate such ambiguous sets using a mixed-integer program and present results on several examples.

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BibTeXRIS

Frederic Matter, Tobias Fischer, Marius Pesavento, Marc E. Pfetsch. 2021-10-20. Ambiguities in Direction-of-Arrival Estimation with Linear Arrays. https://doi.org/10.1109/tsp.2022.3200548

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