Successful And Failing Matrices For l-1 recovery of sparse vectors

Asaad, A. (2012) Successful And Failing Matrices For l-1 recovery of sparse vectors. Masters thesis, University of Buckingham.

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Abstract

In this thesis we give an overview of the notion of compressed sensing together with some special types of compressed sensing matrices. We then investigate the Restricted Isometry property and the Null Space property which are two of the most well-known properties of compressed sensing matrices needed for sparse signal recovery. We show that when the Restricted Isometry constant is ‘small enough’ then we can recover sparse vectors by

Item Type: Thesis (Masters)
Uncontrolled Keywords: Compressed Sensing; Ristricted Isometry Property; RIP; Null Space Property NSP; Compressive sensing matrices
Subjects: Q Science > QA Mathematics
Divisions: School of Computing
Depositing User: Rachel Pollard
Date Deposited: 16 Mar 2020 11:14
Last Modified: 16 Mar 2020 11:14
URI: http://bear.buckingham.ac.uk/id/eprint/469

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