Synthesis-based sparse reconstrucion with analysis-based solvers

Synthesis sparsity model received great attention in the past decade. Signal reconstruction based analysis model appears recently and has a high accurate reconstruction rate., which constitutes a solid basis for practical applications. In this paper, we transform the sparse signal reconstruction iss...

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Bibliographic Details
Published in2014 International Conference on Mechatronics and Control (ICMC) pp. 1257 - 1260
Main Authors Di Wu, Yuxin Zhao, Shuai Chang, Kaiyu Wang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2014
Subjects
Algorithm design and analysis
Analysis cosparse model
Analytical models
Dictionaries
Matching pursuit algorithms
Mathematical model
Signal processing algorithms
Signal reconstruction
sparse reconstruction
synthesis by analysis
synthesis sparse model
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Summary:Synthesis sparsity model received great attention in the past decade. Signal reconstruction based analysis model appears recently and has a high accurate reconstruction rate., which constitutes a solid basis for practical applications. In this paper, we transform the sparse signal reconstruction issue of synthesis model to an analysis one with some additional restraints. Therefore the existing algorithms based on analysis model are able to solve the exact reconstruction problem of synthesis model. This approach is called the Synthesis-By-Analysis(SBA) approach. The proposed approach is evaluated by comparing it with the Orthogonal Matching Pursuit algorithm, which is a classic algorithm base on the synthesis model. Experiment results show that this approach is another option for reconstruction problem based on synthesis model, meanwhile allowing many algorithms for analysis cosparse model to be used for synthesis signal reconstruction as well.
DOI:10.1109/ICMC.2014.7231754