Signal reconstruction from noisy randomized projections with applications to wireless sensing

Jarvis Haupt, Robert Nowak

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

4 Scopus citations

Abstract

Recent results show that a relatively small number of random projections of a signal can contain most of its salient information. It follows that if a signal is compressible in some orthonormal basis, then a very accurate reconstruction can be obtained from projections of the signal onto random basis elements. We extend this type of result to show that compressible signals can be accurately recovered from random projections contaminated with noise, in many cases much more accurately than is possible using an equivalent number of conventional point samples. We also investigate the application of this new sampling and reconstruction procedure to remote wireless sensing.

Original languageEnglish (US)
Title of host publication2005 IEEE/SP 13th Workshop on Statistical Signal Processing - Book of Abstracts
Pages1182-1187
Number of pages6
StatePublished - Dec 1 2005
Event2005 IEEE/SP 13th Workshop on Statistical Signal Processing - Bordeaux, France
Duration: Jul 17 2005Jul 20 2005

Publication series

NameIEEE Workshop on Statistical Signal Processing Proceedings
Volume2005

Other

Other2005 IEEE/SP 13th Workshop on Statistical Signal Processing
CountryFrance
CityBordeaux
Period7/17/057/20/05

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