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题名: A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals
作者: Han Z(韩志) ; Wang, Jianjun ; Jing, Jia ; Zhang, Hai
作者部门: 机器人学研究室
刊名: Discrete Dynamics in Nature and Society
ISSN号: 1026-0226
出版日期: 2014
页码: 1-8
收录类别: SCI
产权排序: 1
摘要: 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 𝑙 2/𝑙𝑞 (0 < 𝑞 ≤ 1) 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 𝑙𝑞 minimization and the mixed 𝑙2 /𝑙1 minimization methods to the mixed 𝑙2/𝑙𝑞 (0 < 𝑞 ≤ 1) minimization method in the context of block-sparse signal recovery.
WOS记录号: WOS:000345989000001
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
关键词[WOS]: RECONSTRUCTION ; REGULARIZATION ; MINIMIZATION ; MATRICES
研究领域[WOS]: Mathematics ; Science & Technology - Other Topics
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内容类型: 期刊论文
URI标识: http://ir.sia.cn/handle/173321/15464
Appears in Collections:机器人学研究室_期刊论文

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