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Blind separation of post-nonlinear mixtures using gaussianizing transformations and temporal decorrelation

2003

Conference Paper

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At the previous workshop (ICA2001) we proposed the ACE-TD method that reduces the post-nonlinear blind source separation problem (PNL BSS) to a linear BSS problem. The method utilizes the Alternating Conditional Expectation (ACE) algorithm to approximately invert the (post-){non-linear} functions. In this contribution, we propose an alternative procedure called Gaussianizing transformation, which is motivated by the fact that linearly mixed signals before nonlinear transformation are approximately Gaussian distributed. This heuristic, but simple and efficient procedure yields similar results as the ACE method and can thus be used as a fast and effective equalization method. After equalizing the nonlinearities, temporal decorrelation separation (TDSEP) allows us to recover the source signals. Numerical simulations on realistic examples are performed to compare "Gauss-TD" with "ACE-TD".

Author(s): Ziehe, A. and Kawanabe, M. and Harmeling, S. and Müller, K-R.
Book Title: ICA 2003
Journal: Proceedings of the 4th International Symposium on Independent Component Analysis and Blind Signal Separation (ICA 2003)
Pages: 269-274
Year: 2003
Month: April
Day: 0
Editors: Amari, S.-I. , A. Cichocki, S. Makino, N. Murata

Department(s): Empirical Inference
Bibtex Type: Conference Paper (inproceedings)

Event Name: 4th International Symposium on Independent Component Analysis and Blind Signal Separation
Event Place: Nara, Japan

Digital: 0
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik

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BibTex

@inproceedings{6357,
  title = {Blind separation of post-nonlinear mixtures using gaussianizing transformations and temporal decorrelation},
  author = {Ziehe, A. and Kawanabe, M. and Harmeling, S. and M{\"u}ller, K-R.},
  journal = {Proceedings of the 4th International Symposium on Independent Component Analysis and Blind Signal Separation (ICA 2003)},
  booktitle = {ICA 2003},
  pages = {269-274},
  editors = {Amari, S.-I. , A. Cichocki, S. Makino, N. Murata},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  month = apr,
  year = {2003},
  doi = {},
  month_numeric = {4}
}