A Note on Block-Sparse Signal Recovery with Coherent Tight Frames

Yao Wang, Jianjun Wang and Zongben Xu

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-6

Abstract:

This note discusses the recovery of signals from undersampled data in the situation that such signals are nearly block sparse in terms of an overcomplete and coherent tight frame . By introducing the notion of block -restricted isometry property ( -RIP), we establish several sufficient conditions for the proposed mixed -analysis method to guarantee stable recovery of nearly block-sparse signals in terms of . One of the main results of this note shows that if the measurement matrix satisfies the block -RIP with constants , then the signals which are nearly block -sparse in terms of can be stably recovered via mixed -analysis in the presence of noise.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:905027

DOI: 10.1155/2013/905027

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