| Presentation | 2013-02-01 Sampling and Recovery of Continuous Sparse Signals by Maximum Likelihood Estimation Yosuke HIRONAGA, Akira HIRABAYASHI, Laurent CONDAT, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a maximum likelihood estimation approach for the recovery of continuously-defined sparse signals from noisy measurements, in particular periodic sequences of derivatives of Diracs and piecewise polynomials. The conventional approach for this problem is based on total-least-squares (a.k.a. annihilating filter method) and Cadzow denoising. It requires more measurements than the number of unknown parameters and mistakenly splits the derivatives of Diracs into several Diracs at different positions. Further on, Cadzow denoising does not guarantee any optimality. The proposed parametric approach solves all of these problems by defining an appropriate likelihood function. Since the likelihood function is non-convex, we exploit the stochastic method of particle swarm optimization (PSO) to find the global solution Simulation results confirm the effectiveness of the proposed approach, for a reasonable cost. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Signals with finite rate of innovation / derivative of Diracs / piecewise polynomials / maximum likelihood / estimation / Cadzow denoising |
| Paper # | SIP2012-102,RCS2012-259 |
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| Conference Information | |
| Committee | SIP |
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| Conference Date | 2013/1/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Signal Processing (SIP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Sampling and Recovery of Continuous Sparse Signals by Maximum Likelihood Estimation |
| Sub Title (in English) | |
| Keyword(1) | Signals with finite rate of innovation |
| Keyword(2) | derivative of Diracs |
| Keyword(3) | piecewise polynomials |
| Keyword(4) | maximum likelihood |
| Keyword(5) | estimation |
| Keyword(6) | Cadzow denoising |
| 1st Author's Name | Yosuke HIRONAGA |
| 1st Author's Affiliation | Graduate School of Medicine, Yamaguchi University() |
| 2nd Author's Name | Akira HIRABAYASHI |
| 2nd Author's Affiliation | Graduate School of Medicine, Yamaguchi University |
| 3rd Author's Name | Laurent CONDAT |
| 3rd Author's Affiliation | Grenoble Institute of Technology & National Science Research Center (CNRS) |
| Date | 2013-02-01 |
| Paper # | SIP2012-102,RCS2012-259 |
| Volume (vol) | vol.112 |
| Number (no) | 423 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |