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This paper discusses new bounds for restricted isometry property in compressed sensing. In the literature, E.J. Candes has proved that delta_{2s} < sqrt{2}-1 is a sufficient condition via l_{1} optimi...zation having s-sparse vector solution. Later, many researchers have improved the sufficient conditions on delta_{2s} or delta_{s}. In this paper, we have improved the sufficient condition to delta_{s}<0.309 and have given the sufficient condition to delta_{k}(s<k) using an idea of Q. Mo and S. Li' result. Furthermore, we have improved the sufficient conditions to delta_{2s}<0.593 and delta_{s}<0.472 in special case.show more
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