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2024-08-02
Adaptive Cross Approximation Accelerates Compressive Sensing-Based Method of Moments for Solving Electromagnetic Scattering Problems
By
Progress In Electromagnetics Research C, Vol. 146, 45-53, 2024
Abstract
In this paper, a novel measurement matrix construction method based on adaptive cross-approximation (ACA) is proposed to improve the performance of the compressive sensing-based method of moments (CS-MoM) for analyzing electromagnetic scattering problems. ACA is based on a weight scheme and is able to recognize the rows and columns that contribute significantly to the matrix. Thus, the object is divided into multiple blocks, and the impedance matrix is partitioned into near-field and far-field groups to establish the condition for applying ACA. Then, the row indexes are extracted from the group with the highest number of ACA recognized rows in the far-field groups of each block. Finally, by combining all row indexes to extract the impedance matrix, a lower-dimensional and deterministic measurement matrix is constructed, thereby improving computational efficiency. Numerical simulation results validate the accuracy and effectiveness of the proposed method.
Citation
Dai Dong, Zhonggen Wang, Wenyan Nie, Fei Guo, Yufa Sun, Pan Wang, and Chenlu Li, "Adaptive Cross Approximation Accelerates Compressive Sensing-Based Method of Moments for Solving Electromagnetic Scattering Problems," Progress In Electromagnetics Research C, Vol. 146, 45-53, 2024.
doi:10.2528/PIERC24053101
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