A General Framework for the Robustness of Structured Difference Coarrays to Element Failures
Sparse arrays have received attention in array signal processing since they can resolve \mathcal{O}\left( {{N^2}} \right) uncorrelated sources using N physical sensors. The reason is that the difference coarray, which consists of the differences between sensor locations, has a central uniform linear...
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| Vydáno v: | Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop s. 1 - 5 |
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| Jazyk: | angličtina |
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IEEE
01.06.2020
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| ISSN: | 2151-870X |
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| Abstract | Sparse arrays have received attention in array signal processing since they can resolve \mathcal{O}\left( {{N^2}} \right) uncorrelated sources using N physical sensors. The reason is that the difference coarray, which consists of the differences between sensor locations, has a central uniform linear array (ULA) segment of size \mathcal{O}\left( {{N^2}} \right). From the theory of the k-essentialness property and the k-fragility, the difference coarrays of some sparse arrays are not robust to sensor failures, possibly affecting the applicability of coarray-based direction-of-arrival (DOA) estimators. However, the k-essentialness property might not fully reflect the conditions under which these estimators fail. This paper proposes a framework for the robustness of array geometries based on the importance function and the generalized k-fragility. The importance function characterizes the importance of the subarrays in an array subject to some defining properties. The importance function is also compatible with the k-essentialness property and the size of the central ULA segment in the difference coarray. The latter is closely related to the performance of some coarray-based DOA estimators. Based on the importance function, the generalized k-fragility is proposed to quantify the robustness of an array. Properties of the importance function and the generalized k-fragility are also studied and demonstrated through numerical examples. |
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| AbstractList | Sparse arrays have received attention in array signal processing since they can resolve \mathcal{O}\left( {{N^2}} \right) uncorrelated sources using N physical sensors. The reason is that the difference coarray, which consists of the differences between sensor locations, has a central uniform linear array (ULA) segment of size \mathcal{O}\left( {{N^2}} \right). From the theory of the k-essentialness property and the k-fragility, the difference coarrays of some sparse arrays are not robust to sensor failures, possibly affecting the applicability of coarray-based direction-of-arrival (DOA) estimators. However, the k-essentialness property might not fully reflect the conditions under which these estimators fail. This paper proposes a framework for the robustness of array geometries based on the importance function and the generalized k-fragility. The importance function characterizes the importance of the subarrays in an array subject to some defining properties. The importance function is also compatible with the k-essentialness property and the size of the central ULA segment in the difference coarray. The latter is closely related to the performance of some coarray-based DOA estimators. Based on the importance function, the generalized k-fragility is proposed to quantify the robustness of an array. Properties of the importance function and the generalized k-fragility are also studied and demonstrated through numerical examples. |
| Author | Liu, Chun-Lin |
| Author_xml | – sequence: 1 givenname: Chun-Lin surname: Liu fullname: Liu, Chun-Lin organization: National Taiwan University,Dept. of Electrical Engineering,Taipei,Taiwan,10617 |
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| Snippet | Sparse arrays have received attention in array signal processing since they can resolve \mathcal{O}\left( {{N^2}} \right) uncorrelated sources using N physical... |
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| SubjectTerms | Array signal processing Conferences difference coarrays Direction-of-arrival estimation Geometry Parallel processing Robustness Sensor phenomena and characterization Sparse arrays the generalized k-fragility the importance function |
| Title | A General Framework for the Robustness of Structured Difference Coarrays to Element Failures |
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