| Presentation | 2010-05-27 A sparse decomposition method for mixtures of periodic signals with varying envelopes Yuta ISHII, Makoto NAKASHIZUKA, Yoji IIGUNI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This study proposes a sparse decomposition method for mixtures of periodic signals with varying envelopes. Periodic decomposition methods have been proposed to decompose a signal into a sum of periodic signals. In order to reduce a redundancy of the decomposition result, a sparsity prior has been introduced in the sparse periodic decomposition. The sparse periodic decomposition has been applied to speech representation and separation. In existent periodic decompositions, the envelopes of the decomposed periodic signals are constant or piecewise-constant. However, the envelopes of acoustic signals usually varies along with time. In this paper, we introduce the periodic signal model with periodic signals with time-varying envelopes to improve the approximation accuracy of the source periodic signals in a mixture. The proposed method decomposes a mixture into a set of periodic signals, of which envelopes are represented by amplitude vectors. An additional penalty term of the envelope is added to a cost function, which are sum of the sparsity penalty and the approximation error. We also propose a decomposition algorithm that minimizes the cost function. In the experiments, decomposition results of mixtures of synthetic periodic signals are demonstrated. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | sparse decomposition method / periodic signal / envelope |
| Paper # | EA2010-20,SIP2010-20,SP2010-20 |
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| Conference Information | |
| Committee | SIP |
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| Conference Date | 2010/5/19(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 | 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) | A sparse decomposition method for mixtures of periodic signals with varying envelopes |
| Sub Title (in English) | |
| Keyword(1) | sparse decomposition method |
| Keyword(2) | periodic signal |
| Keyword(3) | envelope |
| 1st Author's Name | Yuta ISHII |
| 1st Author's Affiliation | Graduate School of Engineering Sciense, Osaka University() |
| 2nd Author's Name | Makoto NAKASHIZUKA |
| 2nd Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| 3rd Author's Name | Yoji IIGUNI |
| 3rd Author's Affiliation | Graduate School of Engineering Sciense, Osaka University |
| Date | 2010-05-27 |
| Paper # | EA2010-20,SIP2010-20,SP2010-20 |
| Volume (vol) | vol.110 |
| Number (no) | 55 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |