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Compressive sensing for multi-static scattering analysis

Publication ,  Journal Article
Carin, L; Liu, D; Lin, W; Guo, B
Published in: Journal of Computational Physics
May 20, 2009

Compressive sensing (CS) is a framework in which one attempts to measure a signal in a compressive mode, implying that fewer total measurements are required vis à vis direct sampling methods. Compressive sensing exploits the fact that the signal of interest is compressible in some basis, and the CS measurements correspond to projections (typically random projections) performed on the basis function coefficients. In this paper, we demonstrate that ideas from compressive sensing may be exploited in the context of electromagnetic modeling, here multi-static scattering from an arbitrary target. In this context, the computational analysis may be viewed as a numerical experiment, and ideas from compressive sensing may be used to reduce the number of computations required for target characterization. It is demonstrated that the compressive sensing framework may be applied with relatively minor modifications to many existing numerical models, with examples presented here for a fast-multipole computational engine. © 2009 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

May 20, 2009

Volume

228

Issue

9

Start / End Page

3464 / 3477

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Carin, L., Liu, D., Lin, W., & Guo, B. (2009). Compressive sensing for multi-static scattering analysis. Journal of Computational Physics, 228(9), 3464–3477. https://doi.org/10.1016/j.jcp.2009.01.033
Carin, L., D. Liu, W. Lin, and B. Guo. “Compressive sensing for multi-static scattering analysis.” Journal of Computational Physics 228, no. 9 (May 20, 2009): 3464–77. https://doi.org/10.1016/j.jcp.2009.01.033.
Carin L, Liu D, Lin W, Guo B. Compressive sensing for multi-static scattering analysis. Journal of Computational Physics. 2009 May 20;228(9):3464–77.
Carin, L., et al. “Compressive sensing for multi-static scattering analysis.” Journal of Computational Physics, vol. 228, no. 9, May 2009, pp. 3464–77. Scopus, doi:10.1016/j.jcp.2009.01.033.
Carin L, Liu D, Lin W, Guo B. Compressive sensing for multi-static scattering analysis. Journal of Computational Physics. 2009 May 20;228(9):3464–3477.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

May 20, 2009

Volume

228

Issue

9

Start / End Page

3464 / 3477

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences