Compressive-domain interference cancellation via orthogonal projection: How small the restricted isometry constant of the effective sensing matrix can be?

Ling Hua Chang*, Jwo-Yuh Wu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

Knowledge of the achievable restricted isometry constant (RIC) of the sensing matrix is crucial for assessing the signal reconstruction performance of compressive sensing systems. In this paper we consider compressive-domain interference cancellation via orthogonal projection, and study the achievable RIC of the effective sensing matrix, namely, the product of the orthogonal projection matrix and the original sensing matrix. While existing algebraic based methods resorted to the polarization identity to find an upper bound of the considered RIC, motivated by geometric interpretations of the orthogonal projection and the restricted isometry property we derive an improved RIC in a closed form. The proposed solution is shown to be tighter than the existing upper bound. Our analytical results, and the asserted performance advantages, are further evidenced via computer simulations.

Original languageEnglish
Title of host publication2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
Pages256-261
Number of pages6
DOIs
StatePublished - 1 Aug 2012
Event2012 IEEE Wireless Communications and Networking Conference, WCNC 2012 - Paris, France
Duration: 1 Apr 20124 Apr 2012

Publication series

NameIEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)1525-3511

Conference

Conference2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
CountryFrance
CityParis
Period1/04/124/04/12

Keywords

  • Compressive sensing
  • interference cancellation
  • restricted isometry constant (RIC)
  • restricted isometry property (RIP)

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    Chang, L. H., & Wu, J-Y. (2012). Compressive-domain interference cancellation via orthogonal projection: How small the restricted isometry constant of the effective sensing matrix can be? In 2012 IEEE Wireless Communications and Networking Conference, WCNC 2012 (pp. 256-261). [6214232] (IEEE Wireless Communications and Networking Conference, WCNC). https://doi.org/10.1109/WCNC.2012.6214232