تقرير
Ambiguities in Direction-of-Arrival Estimation with Linear Arrays
| العنوان: | Ambiguities in Direction-of-Arrival Estimation with Linear Arrays |
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| المؤلفون: | Matter, Frederic, Fischer, Tobias, Pesavento, Marius, Pfetsch, Marc E. |
| سنة النشر: | 2021 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Electrical Engineering and Systems Science - Signal Processing, Computer Science - Information Theory, Mathematics - Optimization and Control |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1109/TSP.2022.3200548 |
| URL الوصول: | http://arxiv.org/abs/2110.10756 |
| رقم الأكسشن: | edsarx.2110.10756 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1109/TSP.2022.3200548 |
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