Deterministic matrices with the restricted isometry property

descriptionPublicationkeyboard_double_arrow_right Article 08 Sep 2011Publisher:SPIEJournal:SPIE Proceedings, volume 8,138, page 81380A (issn: 0277-786X,

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Authors: Matthew Fickus; Dustin G. Mixon;

doi: 10.1117/12.895080

Deterministic matrices with the restricted isometry property

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Abstract

The state of the art in compressed sensing uses sensing matrices which satisfy the restricted isometry property (RIP). Unfortunately, the known deterministic RIP constructions fall short of the random constructions, which are only valid with high probability. In this paper, we consider certain deterministic constructions and compare different proof techniques that demonstrate RIP in the deterministic setting.

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