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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Published in:Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop pp. 1 - 5
Main Author: Liu, Chun-Lin
Format: Conference Proceeding
Language:English
Published: IEEE 01.06.2020
Subjects:
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
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.
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
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  givenname: Chun-Lin
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  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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StartPage 1
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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