approximately normalized iterative hard thresholding for nonlinear compressive sensing

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ID: 256867
2016
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Abstract
The nonlinear compressive sensing (NCS) is an extension of classical compressive sensing (CS) and the iterative hard thresholding (IHT) algorithm is a popular greedy-type method for solving CS. The normalized iterative hard thresholding (NIHT) is a modification of IHT and is more effective than IHT. In this paper, we propose an approximately normalized iterative hard thresholding (ANIHT) algorithm for NCS by using the approximate optimal stepsize combining with Armijo stepsize rule preiteration. Under the condition similar to restricted isometry property (RIP), we analyze the condition that can identify the iterative support sets in a finite number of iterations. Numerical experiments show the good performance of the new algorithm for the NCS.
Reference Key
zhu2016mathematicalapproximately Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Xunzhi Zhu
Journal journal of power sources
Year 2016
DOI
10.1155/2016/2594752
URL
http://dx.doi.org/10.1155/2016/2594752
Keywords
civil engineering (general)mathematics engineering (general)

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