Exact signal recovery from sparsely corrupted measurements through the pursuit of justice

Jason N. Laska; Mark A. Davenport; Richard G. Baraniuk

doi:10.1109/ACSSC.2009.5470141

Exact signal recovery from sparsely corrupted measurements through the pursuit of justice

Jason N. Laska, Mark A. Davenport, Richard G. Baraniuk

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

96 Scopus citations

Abstract

Compressive sensing provides a framework for recovering sparse signals of length N from M ≪ N measurements. If the measurements contain noise bounded by ε, then standard algorithms recover sparse signals with error at most Cε. However, these algorithms perform suboptimally when the measurement noise is also sparse. This can occur in practice due to shot noise, malfunctioning hardware, transmission errors, or narrowband interference. We demonstrate that a simple algorithm, which we dub Justice Pursuit (JP), can achieve exact recovery from measurements corrupted with sparse noise. The algorithm handles unbounded errors, has no input parameters, and is easily implemented via standard recovery techniques.

Original language	English (US)
Title of host publication	Conference Record - 43rd Asilomar Conference on Signals, Systems and Computers
Pages	1556-1560
Number of pages	5
DOIs	https://doi.org/10.1109/ACSSC.2009.5470141
State	Published - Dec 1 2009
Event	43rd Asilomar Conference on Signals, Systems and Computers - Pacific Grove, CA, United States Duration: Nov 1 2009 → Nov 4 2009

Other

Other	43rd Asilomar Conference on Signals, Systems and Computers
Country	United States
City	Pacific Grove, CA
Period	11/1/09 → 11/4/09

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

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Laska, JN, Davenport, MA & Baraniuk, RG 2009, Exact signal recovery from sparsely corrupted measurements through the pursuit of justice. in Conference Record - 43rd Asilomar Conference on Signals, Systems and Computers., 5470141, pp. 1556-1560, 43rd Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, United States, 11/1/09. https://doi.org/10.1109/ACSSC.2009.5470141

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Exact signal recovery from sparsely corrupted measurements through the pursuit of justice

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