Block normalised iterative hard thresholding algorithm for compressed sensing

In this letter, the authors propose block normalised iterative hard thresholding (BNIHT) algorithm for the recovery of block sparse signal, in which the non-zero elements are presented in clusters. Based on block restricted isometry property, the sufficient conditions to guarantee the convergence of...

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Veröffentlicht in:Electronics letters Jg. 55; H. 17; S. 957 - 959
Hauptverfasser: Zhang, Xiaobo, Xu, Wenbo, Lin, Jiaru, Dang, Yifei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: The Institution of Engineering and Technology 22.08.2019
Schlagworte:
block IHT algorithm
block restricted isometry property
block sparse signal
BNIHT algorithm
compressed sensing
iterative hard thresholding algorithm
iterative methods
nonzero elements
required iterations
Signal processing
signal reconstruction
sufficient conditions
iterative hard thresholding algorithm
block sparse signal
nonzero elements
sufficient conditions
iterative methods
block IHT algorithm
compressed sensing
signal reconstruction
BNIHT algorithm
block restricted isometry property
required iterations
ISSN:0013-5194, 1350-911X, 1350-911X
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Zusammenfassung:In this letter, the authors propose block normalised iterative hard thresholding (BNIHT) algorithm for the recovery of block sparse signal, in which the non-zero elements are presented in clusters. Based on block restricted isometry property, the sufficient conditions to guarantee the convergence of BNIHT are derived. In addition, the number of required iterations is obtained. The simulation experiment shows that BNIHT algorithm is superior to the block IHT (BIHT) algorithm when the step size satisfies $\mu \lt 1$μ<1.
ISSN:0013-5194
1350-911X
1350-911X
DOI:10.1049/el.2019.1795