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. |