| Presentation | 2019-03-06 Performance Analysis for Nonlinear Separation Model with a Flexible Approximation Lu Wang, Tomoaki Ohtsuki, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The process deals with blind source separation in the nonlinear domain is to estimate the original signals or mixture functions from the degraded signals, without any prior information about the mixing functions. The fundamental problem is to recover the original sources by estimating an approximation function under such assumptions so as to estimate the inverse of mixing functions. However, in practice, the approximation function is derived from some estimation algorithm with a finite sample size that even larger estimation error appears with improper model construction. In this paper, we work on the convergence and asymptotic analysis of the separation approach, where the nonlinearity of the mixture function is extracted by the flexible approximation and the nonlinear problem is solved linearly in the feature space. The analysis stems from the performance of a mismatched estimator that accesses the finite sample size. By providing a closed-form expression of the mean squared error (MSE), we can present a novel algebraic formalization as well as derive an upper bound on the estimation error. The simulation results show that if the nonlinearity of mixing functions can be extracted by the flexible approximation, the consistency of numerical MSE and analytical MSE can be achieved as the sample size tends to be infinity. This implies that the algorithm is feasible to separate the distortion of the nonlinear mixture. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Nonlinear blind source separationperformance analysisvanishing component analysistemporal structureindependent component analysis |
| Paper # | RCS2018-292 |
| Date of Issue | 2019-02-27 (RCS) |
| Conference Information | |
| Committee | RCS / SR / SRW |
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| Conference Date | 2019/3/6(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | YRP |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Mobile Communication Workshop |
| Chair | Tomoaki Otsuki(Keio Univ.) / Kenta Umebayashi(Tokyo Univ. of Agric. and Tech.) / Tadao Nakagawa(Tottori Univ.) |
| Vice Chair | Eisuke Fukuda(Fujitsu Labs.) / Satoshi Suyama(NTT Docomo) / Fumiaki Maehara(Waseda Univ.) / Masayuki Ariyoshi(NEC) / Suguru Kameda(Tohoku Univ.) / Satoshi Denno(Okayama Univ.) / Makoto Hamaminato(Fujitsu labs.) |
| Secretary | Eisuke Fukuda(Hokkaido Univ.) / Satoshi Suyama(NTT) / Fumiaki Maehara(NICT) / Masayuki Ariyoshi(ATR) / Suguru Kameda(Univ. of Electro-Comm.) / Satoshi Denno(Kyoto Univ.) / Makoto Hamaminato(Tokyo Inst. of Tech.) |
| Assistant | Kazushi Muraoka(NTT Docomo) / Shinsuke Ibi(Osaka Univ.) / Hiroshi Nishimoto(Mitsubishi Electric) / Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Gia Khanh Tran(Tokyo Inst. of Tech.) / Syusuke Narieda(Mie Univ.) / Koji Ohshima(Kozo Keikaku Engineering) / Mai Ohta(Fukuoka Univ.) / Teppei Oyama(Fujitsu Lab.) / Hiromasa Yamauchi(Fujitsu labs.) / Hanako Noda(Anritsu) |
| Paper Information | |
| Registration To | Technical Committee on Radio Communication Systems / Technical Committee on Smart Radio / Technical Committee on Short Range Wireless Communications |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Performance Analysis for Nonlinear Separation Model with a Flexible Approximation |
| Sub Title (in English) | |
| Keyword(1) | Nonlinear blind source separationperformance analysisvanishing component analysistemporal structureindependent component analysis |
| 1st Author's Name | Lu Wang |
| 1st Author's Affiliation | Keio University(Keio Univ.) |
| 2nd Author's Name | Tomoaki Ohtsuki |
| 2nd Author's Affiliation | Keio University(Keio Univ.) |
| Date | 2019-03-06 |
| Paper # | RCS2018-292 |
| Volume (vol) | vol.118 |
| Number (no) | RCS-474 |
| Page | pp.pp.61-66(RCS), |
| #Pages | 6 |
| Date of Issue | 2019-02-27 (RCS) |