# Ambiguities in Direction-of-Arrival Estimation with Linear Arrays

@article{Matter2021AmbiguitiesID, title={Ambiguities in Direction-of-Arrival Estimation with Linear Arrays}, author={Frederic Matter and Tobias Fischer and Marius Pesavento and Marc E. Pfetsch}, journal={ArXiv}, year={2021}, volume={abs/2110.10756} }

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 directionsof-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…

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