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Performance guarantees of signal recovery via block-OMP with thresholding

机译：通过具有阈值的块OMP来确保信号恢复的性能保证

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摘要

Block-sparsity is an extension of the ordinary sparsity in the realm of the sparse signal representation. Exploiting the block structure of the sparsity pattern, recovery may be possible under more general conditions. In this study, a block version of the orthogonal matching pursuit with thresholding (block-OMPT) algorithm is proposed. Compared with the block version of the orthogonal matching pursuit (block-OMP), block-OMPT works in a less greedy fashion in order to improve the efficiency of the support estimation in iterations. Using the block restrict isometry property (block-RIP), some performance guarantees of block-OMPT are discussed for the bounded noise case and Gaussian noise case. A relationship between block-RIP and block-coherence is obtained. Numerical experiments are provided to illustrate the validity of the authors' main results.
机译：块稀疏性是稀疏信号表示领域中普通稀疏性的扩展。利用稀疏模式的块结构，可以在更一般的条件下进行恢复。在这项研究中，提出了带有阈值的正交匹配追踪的块版本（block-OMPT）算法。与正交匹配追踪（block-OMP）的块版本相比，block-OMPT的贪婪程度较低，以提高迭代中支持估计的效率。使用块限制等距特性（block-RIP），讨论了有界噪声情况和高斯噪声情况的部分OMPT性能保证。获得了块RIP和块一致性之间的关系。提供数值实验以说明作者主要结果的有效性。

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  • 来源
    《Signal Processing, IET》 |2017年第8期|952-960|共9页
  • 作者

    Rui Hu; Yuli Fu; Youjun Xiang; Rong Rong;

  • 作者单位

    South China University of Technology, People's Republic of China;

    South China University of Technology, People's Republic of China;

    South China University of Technology, People's Republic of China;

    South China University of Technology, People's Republic of China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Gaussian noise; signal representation;

    机译：高斯噪声;信号表示;

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