Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems
To efficiently solve the electromagnetic scattering problems over a wide incident angle, a novel scheme by introducing the two-dimensional compressive sensing theory into the wavelet method of moments is proposed. In this scheme, a linear system of equations with multiple right-hand sides in wavelet...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2021/9912502 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546249661743104 |
|---|---|
| author | Yi Liu Qi Qi Xinyuan Cao Mingsheng Chen Guoqing Deng Zhixiang Huang Xianliang Wu |
| author_facet | Yi Liu Qi Qi Xinyuan Cao Mingsheng Chen Guoqing Deng Zhixiang Huang Xianliang Wu |
| author_sort | Yi Liu |
| collection | DOAJ |
| description | To efficiently solve the electromagnetic scattering problems over a wide incident angle, a novel scheme by introducing the two-dimensional compressive sensing theory into the wavelet method of moments is proposed. In this scheme, a linear system of equations with multiple right-hand sides in wavelet domain is formed firstly, and one side of the bilateral sparse transform to the induced current matrix is simultaneously accomplished and then the bilateral measurement of the induced current matrix is operated by the linear superposition of the right-hand side vectors a few times and the extraction of rows from the impedance matrix. Finally, after completing the other side of the bilateral sparse transform, the wide-angle problems can be solved rapidly by two times of recovery algorithm with prior knowledge. The basic principle is elaborated in detail, and the effectiveness is demonstrated by numerical experiments. |
| format | Article |
| id | doaj-art-1cec6541781f4e389f7160eb2dc3e0e6 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-1cec6541781f4e389f7160eb2dc3e0e62025-02-03T07:23:26ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772021-01-01202110.1155/2021/99125029912502Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering ProblemsYi Liu0Qi Qi1Xinyuan Cao2Mingsheng Chen3Guoqing Deng4Zhixiang Huang5Xianliang Wu6Anhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, ChinaAnhui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei 230061, ChinaAnhui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei 230061, ChinaAnhui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei 230061, ChinaAnhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230601, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230601, ChinaTo efficiently solve the electromagnetic scattering problems over a wide incident angle, a novel scheme by introducing the two-dimensional compressive sensing theory into the wavelet method of moments is proposed. In this scheme, a linear system of equations with multiple right-hand sides in wavelet domain is formed firstly, and one side of the bilateral sparse transform to the induced current matrix is simultaneously accomplished and then the bilateral measurement of the induced current matrix is operated by the linear superposition of the right-hand side vectors a few times and the extraction of rows from the impedance matrix. Finally, after completing the other side of the bilateral sparse transform, the wide-angle problems can be solved rapidly by two times of recovery algorithm with prior knowledge. The basic principle is elaborated in detail, and the effectiveness is demonstrated by numerical experiments.http://dx.doi.org/10.1155/2021/9912502 |
| spellingShingle | Yi Liu Qi Qi Xinyuan Cao Mingsheng Chen Guoqing Deng Zhixiang Huang Xianliang Wu Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems International Journal of Antennas and Propagation |
| title | Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems |
| title_full | Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems |
| title_fullStr | Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems |
| title_full_unstemmed | Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems |
| title_short | Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems |
| title_sort | application of two dimensional compressive sensing to wavelet method of moments for fast analysis of wide angle electromagnetic scattering problems |
| url | http://dx.doi.org/10.1155/2021/9912502 |
| work_keys_str_mv | AT yiliu applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT qiqi applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT xinyuancao applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT mingshengchen applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT guoqingdeng applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT zhixianghuang applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems AT xianliangwu applicationoftwodimensionalcompressivesensingtowaveletmethodofmomentsforfastanalysisofwideangleelectromagneticscatteringproblems |