RIP-based analysis of multipath matching pursuit in noisy case

Juan Zhao; Xia Bai; Ran Tao

doi:10.1049/el.2018.7932

RIP-based analysis of multipath matching pursuit in noisy case

Juan Zhao, Xia Bai^*, Ran Tao

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

To increase the possibility of choosing the true support of a sparse signal, multipath matching pursuit (MMP) algorithm generates multiple promising candidates of the support set by tree-searching structure. This Letter proposes the restricted isometry property-based conditions under which at least one candidate of MMP contains the true support set in cases of l₂ and l₁ bounded noises. Comparison with the existing result is also presented.

Original language	English
Pages (from-to)	1133-1135
Number of pages	3
Journal	Electronics Letters
Volume	55
Issue number	21
DOIs	https://doi.org/10.1049/el.2018.7932
Publication status	Published - 17 Oct 2019

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10.1049/el.2018.7932

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title = "RIP-based analysis of multipath matching pursuit in noisy case",

abstract = "To increase the possibility of choosing the true support of a sparse signal, multipath matching pursuit (MMP) algorithm generates multiple promising candidates of the support set by tree-searching structure. This Letter proposes the restricted isometry property-based conditions under which at least one candidate of MMP contains the true support set in cases of l2 and l1 bounded noises. Comparison with the existing result is also presented.",

author = "Juan Zhao and Xia Bai and Ran Tao",

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AU - Bai, Xia

AU - Tao, Ran

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AB - To increase the possibility of choosing the true support of a sparse signal, multipath matching pursuit (MMP) algorithm generates multiple promising candidates of the support set by tree-searching structure. This Letter proposes the restricted isometry property-based conditions under which at least one candidate of MMP contains the true support set in cases of l2 and l1 bounded noises. Comparison with the existing result is also presented.

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DO - 10.1049/el.2018.7932

M3 - Article

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VL - 55

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JO - Electronics Letters

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IS - 21

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RIP-based analysis of multipath matching pursuit in noisy case

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