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On recovery of block sparse signals via block generalized orthogonal matching pursuit

机译:基于块广义正交匹配追踪的块稀疏信号恢复

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As a greedy algorithm for compressed sensing reconstruction, generalized orthogonal matching pursuit (gOMP) has been proposed by Wang et al. [10] to recover sparse signals, which simply selects multiple indices without additional postprocessing operation. In this paper, we consider efficient method for the recovery of sparse signals that exhibit additional structure in the form of the non-zero coefficients occurring in clusters. A block version of gOMP is proposed, named block generalized orthogonal matching pursuit (BgOMP). Moreover, theoretical analysis based on restricted isometry property (RIP) for BgOMP is investigated. Simulation results show that BgOMP has considerable recovery performance comparable to state-of-the-art algorithms in terms of probability of exact reconstruction and running time. (C) 2018 Elsevier B.V. All rights reserved.
机译:作为一种用于压缩感知重建的贪婪算法,Wang等人提出了广义正交匹配追踪(gOMP)。文献[10]恢复稀疏信号,该信号仅选择多个索引而无需进行额外的后处理操作。在本文中,我们考虑了一种有效的方法来恢复稀疏信号,这些信号以簇中出现的非零系数的形式表现出额外的结构。提出了gOMP的一个块版本,称为块广义正交匹配追踪(BgOMP)。此外,研究了基于受限等距特性(RIP)的BgOMP的理论分析。仿真结果表明,就精确重建的可能性和运行时间而言,BgOMP具有与最新算法相当的可恢复性能。 (C)2018 Elsevier B.V.保留所有权利。

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