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Decoding by Linear Programming

Published in IEEE Transactions on Information Theory • Nov 22, 2005
NobleIDNI1P80W44R40S93
Authors:
Emmanuel J. Candès
,
Terence Tao

Abstract

This paper considers a natural error correcting problem with real valued input/output. We wish to recover an input vector f/spl isin/R/sup n/ from corrupted measurements y=Af+e. Here, A is an m by n (coding) matrix and e is an arbitrary and unknown vector of errors. Is it possible to recover f exact...

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