In situ compressive sensing


Journal Article

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 × m matrix that defines the linear relationship between v and u. In this paper we demonstrate that similar linear mappings of the form u → v 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. © 2007 IEEE.

Full Text

Duke Authors

Cited Authors

  • Carin, L; Liu, D; Xue, Y

Published Date

  • December 1, 2007

Published In

  • 2007 2nd Ieee International Workshop on Computational Advances in Multi Sensor Adaptive Processing, Campsap

Start / End Page

  • 105 - 108

Digital Object Identifier (DOI)

  • 10.1109/CAMSAP.2007.4497976

Citation Source

  • Scopus