| Presentation | 2005-06-27 Independent Component Analysis of Signals using Local Exponential Nonlinearities Muhammad TUFAIL, Masahide ABE, Masayuki KAWAMATA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper we propose exponential type nonlinearities in order to blindly separate instantaneous mixtures of signals with symmetric probability distributions using the online relative gradient algorithm. These nonlinear functions are applied only in a certain range around zero in order to ensure the stability of the separating algorithm. The proposed truncated nonlinearities neutralize the effect of outliers while the higher order terms inherently present in the exponential function result in fast convergence especially for signals with bounded support. By varying the truncation threshold, signals with both sub-Gaussian and super-Gaussian probability distributions can be separated. For certain class of probability distributions (generalized Gaussian model), the optimal size of the threshold is obtained by examining the local stability conditions of the relative gradient algorithm. In order to separate sources consisting of both sub-Gaussian and super-Gaussian signals, we chose an adequate value of the threshold parameter based on the sign of normalized kurtosis estimated from the observed data. Finally, some computer simulations are presented to demonstrate the superior performance of the proposed idea. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Blind Source Separation / Independent Component Analysis / Relative Gradient Algorithm / Mixed Kurtosis Signals |
| Paper # | CAS2005-4,VLD2005-15,SIP2005-28 |
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| Conference Information | |
| Committee | VLD |
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| Conference Date | 2005/6/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | VLSI Design Technologies (VLD) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Independent Component Analysis of Signals using Local Exponential Nonlinearities |
| Sub Title (in English) | |
| Keyword(1) | Blind Source Separation |
| Keyword(2) | Independent Component Analysis |
| Keyword(3) | Relative Gradient Algorithm |
| Keyword(4) | Mixed Kurtosis Signals |
| 1st Author's Name | Muhammad TUFAIL |
| 1st Author's Affiliation | Graduate School of Engineering, Tohoku University() |
| 2nd Author's Name | Masahide ABE |
| 2nd Author's Affiliation | Graduate School of Engineering, Tohoku University |
| 3rd Author's Name | Masayuki KAWAMATA |
| 3rd Author's Affiliation | Graduate School of Engineering, Tohoku University |
| Date | 2005-06-27 |
| Paper # | CAS2005-4,VLD2005-15,SIP2005-28 |
| Volume (vol) | vol.105 |
| Number (no) | 147 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |