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Efficient construction and solution of MoM matrix equation with compressed sensing technique

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  • Zhe Wang
  • Bing-Zhong Wang
  • Wei Shao

Abstract

A novel method which employs the recently developed theory of compressed sensing (CS) in method of moments (MoMs) is presented. With linear transform, the construction of the impedance matrix and the solving of the unknown vector in MoM are converted into the construction of a sparse matrix and the solving of a sparse vector, respectively. Under this framework of sparsity, the CS technique can be introduced to construct highly underdetermined equations, which can be solved with the orthogonal matching pursuit algorithm. Thus, the computational cost of both impedance matrix construction and MoM equation solving can be saved dramatically. The performance of the proposed method is illustrated by numerical studies of electromagnetic field integral equations.

Suggested Citation

  • Zhe Wang & Bing-Zhong Wang & Wei Shao, 2015. "Efficient construction and solution of MoM matrix equation with compressed sensing technique," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 29(5), pages 683-692, March.
    • Handle: RePEc:taf:tewaxx:v:29:y:2015:i:5:p:683-692
    DOI: 10.1080/09205071.2015.1014574
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