Coherent source imaging and dynamic support tracking for inverse scattering using compressive MUSIC

Okkyun Lee, Jong Min Kim, Jaejoon Yoo, Kyunghwan Jin, Jong Chul Ye

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The goal of this paper is to develop novel algorithms for inverse scattering problems such as EEG/MEG, microwave imaging, and/or diffuse optical tomograpahy, and etc. One of the main contributions of this paper is a class of novel non-iterative exact nonlinear inverse scattering theory for coherent source imaging and moving targets. Specifically, the new algorithms guarantee the exact recovery under a very relaxed constraint on the number of source and receivers, under which the conventional methods fail. Such breakthrough was possible thanks to the recent theory of compressive MUSIC and its extension using support correction criterion, where partial support are estimated using the conventional compressed sensing approaches, then the remaining supports are estimated using a novel generalized MUSIC criterion. Numerical results using coherent sources in EEG/MEG and dynamic targets confirm that the new algorithms outperform the conventional ones.

Original languageEnglish
Title of host publicationWavelets and Sparsity XIV
DOIs
StatePublished - 2011
EventWavelets and Sparsity XIV - San Diego, CA, United States
Duration: 21 Aug 201124 Aug 2011

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8138
ISSN (Print)0277-786X

Conference

ConferenceWavelets and Sparsity XIV
Country/TerritoryUnited States
CitySan Diego, CA
Period21/08/1124/08/11

Keywords

  • Compressed sensing
  • coherent source
  • compressive MUSIC
  • dynamic support tracking
  • joint sparsity
  • support correction

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