Vol. 112
Latest Volume
All Volumes
PIERB 113 [2025] PIERB 112 [2025] PIERB 111 [2025] PIERB 110 [2025] PIERB 109 [2024] PIERB 108 [2024] PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2025-07-05
Integration of Adaptive Cross Approximation and Generalized Orthogonal Matching Pursuit for Monostatic Electromagnetic Scattering Analysis
By
Progress In Electromagnetics Research B, Vol. 112, 113-120, 2025
Abstract
A novel dual compressive sensing (DCS) method is presented to resolve the limitations in computational accuracy and efficiency encountered by conventional DCS approaches during monostatic electromagnetic scattering analysis. Based on the connection between adaptive cross approximation (ACA) and generalized orthogonal matching pursuit (gOMP) in DCS, the integration of ACA and gOMP into the DCS framework is implemented. Specifically, ACA is employed to construct a deterministic measurement matrix by extracting row indexes containing critical information from the impedance matrix. This method reduces column correlation in the measurement matrix, enabling fewer rows to achieve comparable accuracy. Furthermore, the gOMP algorithm is adopted for signal recovery, leveraging its multi-column selection mechanism to better utilize the optimized information from ACA, thereby enhancing reconstruction accuracy and efficiency. Numerical analysis demonstrates that the proposed method achieves a significant enhancement in both accuracy and efficiency.
Citation
Chenggang Wu, Zhonggen Wang, Wenyan Nie, Dai Dong, and Yang Liu, "Integration of Adaptive Cross Approximation and Generalized Orthogonal Matching Pursuit for Monostatic Electromagnetic Scattering Analysis," Progress In Electromagnetics Research B, Vol. 112, 113-120, 2025.
doi:10.2528/PIERB25050402
References

1. Song, J., Cai-Cheng Lu, and Weng Cho Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 10, 1488-1493, 1997.

2. Prakash, V. V. S. and Raj Mittra, "Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations," Microwave and Optical Technology Letters, Vol. 36, No. 2, 95-100, 2003.

3. Sun, Y. F., Y. Zhang, S. J. Xu, and X. Q. Chen, "EM scattering analysis of 2-D multiple conducting cylinders using characteristic basis function method," Chinese Journal of Radio Science, Vol. 21, No. 2, 229-232, 2006.

4. Xu, Yanlin, Hu Yang, Junqi Lu, Weikang Yu, Wenlu Yin, and Da Peng, "Improved synthetic basis functions method for nonperiodic scaling structures with arbitrary spatial attitudes," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 9, 4728-4741, 2017.

5. Donoho, D. L., "Compressed sensing," IEEE Transactions on Information Theory, Vol. 52, No. 4, 1289-1306, 2006.

6. Liu, Jianfeng, Xin-Lin Huang, and Ping Wang, "Compressive spectrum sensing with temporal-correlated prior knowledge mining," Wireless Communications and Mobile Computing, Vol. 2021, No. 1, 5539697, 2021.

7. Wang, Ren, Jing-Bo Guo, Jun-Peng Hui, Ze Wang, Hong-Jun Liu, Yuan-Nan Xu, and Yun-Fo Liu, "Statistical compressive sensing based on convolutional Gaussian mixture model," ACTA Physica Sinica, Vol. 68, No. 18, 180701-180712, 2019.

8. Zhong, Yuanhong, Jing Zhang, Xinyu Cheng, Guan Huang, Zhaokun Zhou, and Zhiyong Huang, "Reconstruction for block-based compressive sensing of image with reweighted double sparse constraint," EURASIP Journal on Image and Video Processing, Vol. 2019, No. 1, 1-14, 2019.

9. Chen, Ming Sheng, Fa Lin Liu, Hong Mei Du, and Xian Liang Wu, "Compressive sensing for fast analysis of wide-angle monostatic scattering problems," IEEE Antennas and Wireless Propagation Letters, Vol. 10, 1243-1246, 2011.

10. Chai, Shui-Rong and Li-Xin Guo, "A new method based on compressive sensing for monostatic scattering analysis," Microwave and Optical Technology Letters, Vol. 57, No. 10, 2457-2461, 2015.

11. Kong, Meng, Mingsheng Chen, Xinyuan Cao, Liang Zhang, Qi Qi, and Xianliang Wu, "Fast analysis of local current distribution for electromagnetic scattering problems of electrically large objects," IEEE Access, Vol. 8, 127640-127647, 2020.

12. Chai, Shui-Rong and Li-Xin Guo, "Integration of CS into MoM for efficiently solving of bistatic scattering problems," IEEE Antennas and Wireless Propagation Letters, Vol. 15, 1771-1774, 2016.

13. Kong, Meng, Ming Sheng Chen, Bo Wu, and Xian Liang Wu, "Fast and stabilized algorithm for analyzing electromagnetic scattering problems of bodies of revolution by compressive sensing," IEEE Antennas and Wireless Propagation Letters, Vol. 16, 198-201, 2016.

14. Cao, Xinyuan, Mingsheng Chen, Qi Qi, Meng Kong, Jinhua Hu, Liang Zhang, and Xianliang Wu, "Solving electromagnetic scattering problems by underdetermined equations and Krylov subspace," IEEE Microwave and Wireless Components Letters, Vol. 30, No. 6, 541-544, 2020.

15. Wang, Zhonggen, Haoran Yuan, Yufa Sun, Wenyan Nie, and Pan Wang, "Block-based Krylov subspace basis functions for solving bistatic scattering problems," IEEE Antennas and Wireless Propagation Letters, Vol. 22, No. 10, 2561-2565, 2023.

16. Wang, Zhonggen, Pan Wang, Yufa Sun, and Wenyan Nie, "Fast analysis of bistatic scattering problems for three-dimensional objects using compressive sensing and characteristic modes," IEEE Antennas and Wireless Propagation Letters, Vol. 21, No. 9, 1817-1821, 2022.

17. Gao, Yalan, Muhammad Firdaus Akbar, and Ghassan Nihad Jawad, "Stabilized and fast method for compressive-sensing-based method of moments," IEEE Antennas and Wireless Propagation Letters, Vol. 22, No. 12, 2915-2919, 2023.

18. Wang, Zhong-Gen, Wen-Yan Nie, and Han Lin, "Characteristic basis functions enhanced compressive sensing for solving the bistatic scattering problems of three-dimensional targets," Microwave and Optical Technology Letters, Vol. 62, No. 10, 3132-3138, 2020.

19. Dong, Dai, Zhonggen Wang, Wenyan Nie, Fei Guo, Yufa Sun, Pan Wan, 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

20. Kong, Meng, Ming Sheng Chen, Xin Yuan Cao, Jia Bing Zhu, Xiao Jing Kuang, Qi Qi, and Xian Liang Wu, "Fast electromagnetic scattering analysis of inhomogeneous dielectric objects over a wide incident angle," IEEE Antennas and Wireless Propagation Letters, Vol. 20, No. 8, 1527-1531, 2021.

21. Cao, Xinyuan, Mingsheng Chen, Xianliang Wu, Meng Kong, Jinhua Hu, and Yanyan Zhu, "Dual compressed sensing method for solving electromagnetic scattering problems by method of moments," IEEE Antennas and Wireless Propagation Letters, Vol. 17, No. 2, 267-270, 2018.

22. Ma, Yongjie, Zhonggen Wang, Wenyan Nie, Yufa Sun, Juan Wu, and Pan Wang, "Novel dual compressive sensing method for solving the monostatic scattering problems of three-dimensional target," Electromagnetics, Vol. 43, No. 8, 577-590, 2023.

23. Gao, Yalan, Muhammad Firdaus Akbar, Ghassan Nihad Jawad, and Lin Cui, "Dual-layer compressive sensing scheme incorporating adaptive cross approximation algorithm for solving monostatic electromagnetic scattering problems," IEEE Access, Vol. 12, 97572-97580, 2024.

24. Zhang, Yong-Wei, Viacheslav Sorkin, Zachary H. Aitken, Antonio Politano, Jörg Behler, et al., "Roadmap for the development of machine learning-based interatomic potentials," Modelling and Simulation in Materials Science and Engineering, Vol. 33, No. 2, 023301, 2025.
doi:10.1088/1361-651X/ad9d63

25. Ding, Jie, Laming Chen, and Yuantao Gu, "Perturbation analysis of orthogonal matching pursuit," IEEE Transactions on Signal Processing, Vol. 61, No. 2, 398-410, 2013.

26. Tropp, Joel A. and Anna C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Transactions on Information Theory, Vol. 53, No. 12, 4655-4666, 2007.