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Paper Abstract and Keywords
Presentation 2014-07-11 18:10
High quality recovery of nonsparse signals from compressed sensing
Aiko Nishiyama, Yuki Yamanaka, Akira Hirabayashi (Ritsumeikan Univ.), Kazushi Mimura (Hiroshima City Univ.) CAS2014-24 VLD2014-33 SIP2014-45 MSS2014-24 SIS2014-24
Abstract (in Japanese) (See Japanese page) 
(in English) We propose a novel algorithm for the recovery of non-sparse, but compressible signals from linear undersampled measurements. The algorithm proposed in this paper consists of two steps. The first step recovers the signal by the l1 min imization. Then, the second step decomposes the l1 reconstruction into major and minor components. By using the major components, measurements for the minor components of the target signal are estimated. Error evaluation of the estimate leads to the standard ridge regression for the recovery of the minor components with the regularization parameter determined using the error bound. After a slight modification to the major components, the final estimate is obtained by combining the two estimates. Computational cost of the proposed algorithm is mostly the same as the l1 minimization. Simulation results for one-dimensional computer generated signals show the effectiveness of the proposed algorithm over not only l1 minimization but also the Lasso estimator. Simulations using the standard images also show the effectiveness of the proposed algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Sparse signals / compressibility / l1-norm minimization / null space property / restricted isometry property / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 124, SIP2014-45, pp. 123-127, July 2014.
Paper # SIP2014-45 
Date of Issue 2014-07-02 (CAS, VLD, SIP, MSS, SIS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Download PDF CAS2014-24 VLD2014-33 SIP2014-45 MSS2014-24 SIS2014-24

Conference Information
Committee CAS SIP MSS VLD SIS  
Conference Date 2014-07-09 - 2014-07-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) System, signal processing and related topics 
Paper Information
Registration To SIP 
Conference Code 2014-07-CAS-SIP-MSS-VLD-SIS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) High quality recovery of nonsparse signals from compressed sensing 
Sub Title (in English)  
Keyword(1) Sparse signals  
Keyword(2) compressibility  
Keyword(3) l1-norm minimization  
Keyword(4) null space property  
Keyword(5) restricted isometry property  
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1st Author's Name Aiko Nishiyama  
1st Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
2nd Author's Name Yuki Yamanaka  
2nd Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
3rd Author's Name Akira Hirabayashi  
3rd Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
4th Author's Name Kazushi Mimura  
4th Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
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Speaker
Date Time 2014-07-11 18:10:00 
Presentation Time 20 
Registration for SIP 
Paper # IEICE-CAS2014-24,IEICE-VLD2014-33,IEICE-SIP2014-45,IEICE-MSS2014-24,IEICE-SIS2014-24 
Volume (vol) IEICE-114 
Number (no) no.122(CAS), no.123(VLD), no.124(SIP), no.125(MSS), no.126(SIS) 
Page pp.123-127 
#Pages IEICE-5 
Date of Issue IEICE-CAS-2014-07-02,IEICE-VLD-2014-07-02,IEICE-SIP-2014-07-02,IEICE-MSS-2014-07-02,IEICE-SIS-2014-07-02 


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