| Presentation | 2014-07-11 High Quality Recovery of Nonsparse Signals from Compressed Sensing Aiko NISHIYAMA, Yuki YAMANAKA, Akira HIRABAYASHI, Kazushi MIMURA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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 l_1 minimization. Then, the second step decomposes the l_1 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 l_1 minimization. Simulation results for one-dimensional computer generated signals show the effectiveness of the proposed algorithm over not only l_1 minimization but also the Lasso estimator. Simulations using the standard images also shows the effectiveness of the proposed algorithm. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Sparse signals / compressibility / l_1-norm minimization / null space property / restricted isometry property |
| Paper # | CAS2014-24,VLD2014-33,SIP2014-45,MSS2014-24,SIS2014-24 |
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| Conference Information | |
| Committee | SIS |
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| Conference Date | 2014/7/2(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Smart Info-Media Systems (SIS) |
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| Language | JPN |
| 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) | l_1-norm minimization |
| Keyword(4) | null space property |
| Keyword(5) | restricted isometry property |
| 1st Author's Name | Aiko NISHIYAMA |
| 1st Author's Affiliation | College of Information Science and Technology, Ritsumeikan University() |
| 2nd Author's Name | Yuki YAMANAKA |
| 2nd Author's Affiliation | College of Information Science and Technology, Ritsumeikan University |
| 3rd Author's Name | Akira HIRABAYASHI |
| 3rd Author's Affiliation | College of Information Science and Technology, Ritsumeikan University |
| 4th Author's Name | Kazushi MIMURA |
| 4th Author's Affiliation | Graduate School of Information Sciences, Hiroshima City University |
| Date | 2014-07-11 |
| Paper # | CAS2014-24,VLD2014-33,SIP2014-45,MSS2014-24,SIS2014-24 |
| Volume (vol) | vol.114 |
| Number (no) | 126 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |