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Deterministic Signals Of Recovery

Posted on:2013-10-06Degree:MasterType:Thesis
Country:ChinaCandidate:H WangFull Text:PDF
GTID:2268330395473467Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper can be mainly divided to two parts.The first part focus on constructing the deterministic matrices which satisfy tsome restricted isometry property. By using a sequential odd numbers,we construct a kind of matrices which extend eariler Result. Futher more we extend this result to condition when the dimensions of blocks of the matrices are coprime. We also give a technical tool to expand the columns of the matrices. In additon we construct a tpxp2oder matrices through congruence method.The rest of this paper is the proof of the exact restruction of signal through a variant of OMP algorithm MtOMP which can exact recovery k sparse signal at most in j=arg min/(Σj=1jli>k) iterations.
Keywords/Search Tags:deterministic matrices, congruence, orthogonal matching pursuit
PDF Full Text Request
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