Yang, Z. orcid.org/0000-0001-8442-5177, Shen, Q. orcid.org/0000-0002-8295-0442, Liu, W. orcid.org/0000-0003-2968-2888 et al. (2 more authors) (2023) High-order cumulants based sparse array design via fractal geometries—part II: robustness and mutual coupling. IEEE Transactions on Signal Processing, 71. pp. 343-357. ISSN 1053-587X
Abstract
Array robustness and mutual coupling are two important factors affecting the direction finding performance of various array structures. These properties are not typically analyzed in DOA estimation based on [Math Processing Error] th-order difference co-arrays. In the first part of this work, we proposed fractal arrays for exploiting the [Math Processing Error] th-order difference co-array ( [Math Processing Error] th-O-Fractal). In this second part, we analyze robustness and mutual coupling leakage of the [Math Processing Error] th-O-Fractal framework. We introduce a robustness analysis tool, and derive a fragility upper bound on the [Math Processing Error] th-O-Fractal as a function of the generator array fragility and the fractal order. Our results show that the robustness of [Math Processing Error] th-O-Fractal can be improved by designing a robust generator or increasing the fractal order. The mutual coupling leakage of [Math Processing Error] th-O-Fractal is also shown to be upper bounded by that of its generator array. Simulation results demonstrate that the proposed [Math Processing Error] th-O-Fractal has superior performance over existing structures exploiting the [Math Processing Error] th-order difference co-array, in the presence of random sensor damage and mutual coupling effect.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Difference co-array; direction of arrival estimation; fractal; high-order cumulants; sparse array design |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Electronic and Electrical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 28 Feb 2023 10:21 |
Last Modified: | 13 Feb 2024 01:13 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Refereed: | Yes |
Identification Number: | 10.1109/tsp.2023.3244667 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:196799 |