A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals

Zhi Han, Jianjun Wang, Jia Jing and Hai Zhang

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-8

Abstract:

We present a probabilistic analysis on conditions of the exact recovery of block-sparse signals whose nonzero elements appear in fixed blocks. We mainly derive a simple lower bound on the necessary number of Gaussian measurements for exact recovery of such block-sparse signals via the mixed norm minimization method. In addition, we present numerical examples to partially support the correctness of the theoretical results. The obtained results extend those known for the standard minimization and the mixed minimization methods to the mixed minimization method in the context of block-sparse signal recovery.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:104709

DOI: 10.1155/2014/104709

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