Enhanced Compressive Sensing Method of Moments via Physics-Aware Characteristic Modes and LSQR Solver

作者

  • Yang Liu School of Electrical and Information Engineering Anhui University of Science and Technology, Huainan 232001, China
  • Zhonggen Wang School of Electrical and Information Engineering Anhui University of Science and Technology, Huainan 232001, China
  • Wenyan Nie School of Mechanical and Electrical Engineering Huainan Normal University, Huainan 232001, China
  • Longhui Sun School of Electrical and Information Engineering Anhui University of Science and Technology, Huainan 232001, China

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https://doi.org/10.13052/2026.ACES.J.410310

关键词:

Characteristic mode basis functions, compressive sensing, method of moments, reconstruction algorithm

摘要

To improve the computational efficiency and stability of the compressive sensing-method of moments (CS-MoM) based on characteristic mode basis functions (CMBFs) for electromagnetic scattering problems, this paper introduces an enhanced construction strategy for CMBFs. The proposed method adopts a dual strategy framework that synergistically integrates physical insight with mathematical screening, replacing the conventional approach based solely on mathematical selection. This integration significantly enhances the physical interpretability and sparsity of the resulting basis functions. In addition, the least squares QR (LSQR) iterative algorithm, which solves the problem by utilizing QR decomposition, is employed instead of the traditional LS method for the CS reconstruction problem. This replacement alleviates the detrimental effects of ill-conditioned matrices on solution stability, thereby improving the robustness and accuracy of the algorithm. Numerical results confirm that the proposed method substantially reduces computational complexity while enhancing numerical stability.

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Yang Liu received the B.E. degree from Suzhou University, China, in 2023. He is currently pursuing the M.S. degree at Anhui University of Science and Technology. His current research interests include computational electromagnetics.

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Zhonggen Wang received the Ph.D. degree in electromagnetic field and microwave technique from the Anhui University of China (AHU), Hefei, P. R. China, in 2014. Since 2014, he has been with the School of Electrical and Information Engineering, Anhui University of Science and Technology. His research interests include computational electromagnetics, array antennas, and reflect arrays.

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Wenyan Nie is a professor at Huainan Normal University, China. She received the B.S. and M.S. degrees from Anhui University of Science and Technology in 2007 and 2012, respectively. Her research interests include computational electromagnetic methods, antenna theory and design.

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Longhui Sun received the B.E. degree from Fuyang Normal University, China, in 2022. He is currently pursuing the M.S degree in Anhui University of Science and Technology. His current research interest lies in the application of Bayesian compressive sensing in electromagnetic scattering.

参考

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已出版

2026-03-30

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[1]
Y. . Liu, Z. . Wang, W. . Nie, 和 L. . Sun, 《Enhanced Compressive Sensing Method of Moments via Physics-Aware Characteristic Modes and LSQR Solver》, ACES Journal, 卷 41, 期 03, 页 288–296, 3月 2026.

期

2026: Vol 41 Iss 3

栏目

General Submission

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