Ambiguities in DirectionofArrival Estimation with Linear Arrays
Abstract
In this paper, we present a novel approach to compute ambiguities in thinned uniform linear arrays, i.e., sparse nonuniform linear arrays, via a mixedinteger program. Ambiguities arise when there exists a set of distinct directionsofarrival, for which the corresponding steering matrix is rankdeficient 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 directionsofarrival. We derive a method to enumerate such ambiguous sets using a mixedinteger program and present results on several examples.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.10756
 Bibcode:
 2021arXiv211010756M
 Keywords:

 Electrical Engineering and Systems Science  Signal Processing;
 Computer Science  Information Theory;
 Mathematics  Optimization and Control