Journal of Advances in Mathematics and Computer Science

A Note on Guaranteed Stable Recovery of Sparse Signal in Compressed Sensing via the RIP of Orders

Hiroshi Inoue *

Graduate School of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we shall continue a study of the CS-recovery of signals studied in [1]. Under the assumption that a m × n matrix A obeys the RIP of order s we decompose the space of unknown vectors into sets M₀; M₁; · · · ;M₇ de ned by a bias function p_x on a good location T₀ = {1; 2; · · · ; s} and research a good condition of CS-recovery.

Keywords: Compressed sensing, restricted isometry property, sparse signal recovery

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