• Corpus ID: 239049612

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}
}

• Frederic Matter, Tobias Fischer, +1 author M. Pfetsch
• Published 20 October 2021
• Computer Science, Engineering, Mathematics
• ArXiv

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 through vanishing sums of unit roots. Each of these vanishing sums then corresponds to an ambiguous set of directions-ofarrival. We derive a method to enumerate such ambiguous sets using a mixed-integer program and present results on several examples.