In situ compressive sensing

Lawrence Carin*, Dehong Liu, Ya Xue

*Corresponding author for this work

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

Abstract

Compressive sensing (CS) is a framework that exploits the compressible character of most natural signals, allowing the accurate measurement of an m-dimensional real signal u in terms of n << m real measurements v. The CS measurements may be represented in terms of an n x m matrix that defines the linear relationship between v and u. In this paper we demonstrate that similar linear mappings of the form u -> nu are manifested naturally by wave propagation in complex media, and therefore in situ CS measurements may be performed simply by exploiting the complex propagation and scattering properties of natural environments. A similar phenomenon is observed in time-reversal imaging, to which connections are made. In addition to presenting the basic in situ CS framework, a simple but practical example problem is considered.

Original languageEnglish
Title of host publication2007 2ND IEEE INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING
PublisherIEEE
Pages5-8
Number of pages4
ISBN (Print)978-1-4244-1713-1
StatePublished - 2007
Externally publishedYes
Event2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing - St Thomas, Virgin Islands, U.S.
Duration: Dec 12 2007Dec 14 2007

Conference

Conference2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing
CountryVirgin Islands, U.S.
CitySt Thomas
Period12/12/0712/14/07

Keywords

  • compressive sensing
  • time reversal
  • ACOUSTICS

Cite this