Ambiguities in DoA Estimation With Linear Arrays

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