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Journal Article | FZJ-2024-02306 |
;
2023
IEEE
New York, NY
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Please use a persistent id in citations: doi:10.1109/TAP.2022.3227010 doi:10.34734/FZJ-2024-02306
Abstract: In this article, we address the problem of reducingthe number of required samples for spherical near-field(SNF) antenna measurements by using compressed sensing (CS).A condition to ensure the numerical performance of sparserecovery algorithms is the design of a sensing matrix with lowmutual coherence. Without fixing any part of the samplingpattern, we directly find sampling points that minimize themutual coherence of the respective sensing matrix. Numericalexperiments show that the proposed sampling scheme yields ahigher recovery success in terms of phase transition diagramwhen compared to other known sampling patterns, such asthe spiral and Hammersley sampling schemes. Furthermore, wealso demonstrate that the application of CS with an optimizedsensing matrix requires fewer samples than classical approachesto reconstruct the spherical mode coefficients (SMCs) and farfieldpattern.Index Terms—Compressed sensing (CS), near-field to far-fieldtransformation (NFFFT), optimization, spherical near-field (SNF)antenna measurements.
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