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Published April 2008 | Published
Book Section - Chapter Open

Explicit measurements with almost optimal thresholds for compressed sensing

Abstract

We consider the deterministic construction of a measurement matrix and a recovery method for signals that are block sparse. A signal that has dimension N = nd, which consists of n blocks of size d, is called (s, d)-block sparse if only s blocks out of n are nonzero. We construct an explicit linear mapping Φ that maps the (s, d)-block sparse signal to a measurement vector of dimension M, where s•d

Additional Information

© 2008 IEEE. This work was supported in parts by the National Science Foundation under grants no. CCR-0133818 and CCR-0326554, by the David and Lucille Packard Foundation, and by Caltech's Lee Center for Advanced Networking.

Attached Files

Published - Parvaresh2008p87442009_Ieee_International_Conference_On_Acoustics_Speech_And_Signal_Processing_Vols_1-_8_Proceedings.pdf

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Parvaresh2008p87442009_Ieee_International_Conference_On_Acoustics_Speech_And_Signal_Processing_Vols_1-_8_Proceedings.pdf

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024