TY - GEN

T1 - Signal reconstruction from noisy randomized projections with applications to wireless sensing

AU - Haupt, Jarvis

AU - Nowak, Robert

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:33947136343

SN - 0780394046

SN - 9780780394049

T3 - IEEE Workshop on Statistical Signal Processing Proceedings

SP - 1182

EP - 1187

BT - 2005 IEEE/SP 13th Workshop on Statistical Signal Processing - Book of Abstracts

T2 - 2005 IEEE/SP 13th Workshop on Statistical Signal Processing

Y2 - 17 July 2005 through 20 July 2005

ER -