Application of Compressive Sensing in Solving Monostatic Scattering Problems

In this paper, a new CS-FMM method that conjugates compressive sensing (CS) with the fast multipole method (FMM) is proposed and validated to efficiently solve monostatic scattering from an arbitrary conducting target. The far zone scattered fields are viewed as the signal of interest. CS is introdu...

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Main Authors: Shui-Rong Chai, Li-Xin Guo, Long Li
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2019/8595104
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author Shui-Rong Chai
Li-Xin Guo
Long Li
author_facet Shui-Rong Chai
Li-Xin Guo
Long Li
author_sort Shui-Rong Chai
collection DOAJ
description In this paper, a new CS-FMM method that conjugates compressive sensing (CS) with the fast multipole method (FMM) is proposed and validated to efficiently solve monostatic scattering from an arbitrary conducting target. The far zone scattered fields are viewed as the signal of interest. CS is introduced to reduce the number of computations. A new set of incident sources has been generated according to CS. By solving the matrix equations under the new set of incident sources and calculating the related far zone scattered fields, the measurements of the aforementioned signal can be derived. Then, the CS inversion is employed to reconstruct the desired monostatic far zone scattered fields by finding the smallest possible ℓ1 norm solution. Monostatic radar cross section (RCS) from several conducting targets is studied by CS-FMM and by the traditional FMM. And the results are compared with each other to illustrate the accuracy and efficiency of the proposed method.
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issn 1687-5869
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language English
publishDate 2019-01-01
publisher Wiley
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series International Journal of Antennas and Propagation
spelling doaj-art-3ea158ed27f34a188a1699eb93449f8a2025-02-03T06:00:01ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/85951048595104Application of Compressive Sensing in Solving Monostatic Scattering ProblemsShui-Rong Chai0Li-Xin Guo1Long Li2School of Physics and Optoelectronic Engineering, Collaborative Innovation Center of Information Sensing and Understanding at Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Collaborative Innovation Center of Information Sensing and Understanding at Xidian University, Xi’an 710071, ChinaSchool of Electronic Engineering, Xidian University, Xi'an 710071, ChinaIn this paper, a new CS-FMM method that conjugates compressive sensing (CS) with the fast multipole method (FMM) is proposed and validated to efficiently solve monostatic scattering from an arbitrary conducting target. The far zone scattered fields are viewed as the signal of interest. CS is introduced to reduce the number of computations. A new set of incident sources has been generated according to CS. By solving the matrix equations under the new set of incident sources and calculating the related far zone scattered fields, the measurements of the aforementioned signal can be derived. Then, the CS inversion is employed to reconstruct the desired monostatic far zone scattered fields by finding the smallest possible ℓ1 norm solution. Monostatic radar cross section (RCS) from several conducting targets is studied by CS-FMM and by the traditional FMM. And the results are compared with each other to illustrate the accuracy and efficiency of the proposed method.http://dx.doi.org/10.1155/2019/8595104
spellingShingle Shui-Rong Chai
Li-Xin Guo
Long Li
Application of Compressive Sensing in Solving Monostatic Scattering Problems
International Journal of Antennas and Propagation
title Application of Compressive Sensing in Solving Monostatic Scattering Problems
title_full Application of Compressive Sensing in Solving Monostatic Scattering Problems
title_fullStr Application of Compressive Sensing in Solving Monostatic Scattering Problems
title_full_unstemmed Application of Compressive Sensing in Solving Monostatic Scattering Problems
title_short Application of Compressive Sensing in Solving Monostatic Scattering Problems
title_sort application of compressive sensing in solving monostatic scattering problems
url http://dx.doi.org/10.1155/2019/8595104
work_keys_str_mv AT shuirongchai applicationofcompressivesensinginsolvingmonostaticscatteringproblems
AT lixinguo applicationofcompressivesensinginsolvingmonostaticscatteringproblems
AT longli applicationofcompressivesensinginsolvingmonostaticscatteringproblems