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A Joint Second-Order Statistics and Density Matching-Based Approach for Separation of Post-Nonlinear Mixtures

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Author(s):
Fantinato, Denis G. ; Duarte, Leonardo T. ; Zanini, Paolo ; Rivet, Bertrand ; Attux, Romis ; Jutten, Christian ; Tichavsky, P ; BabaieZadeh, M ; Michel, OJJ ; ThirionMoreau, N
Total Authors: 10
Document type: Journal article
Source: LATENT VARIABLE ANALYSIS AND SIGNAL SEPARATION (LVA/ICA 2017); v. 10169, p. 10-pg., 2017-01-01.
Abstract

In the context of Post-Nonlinear (PNL) mixtures, source separation can be performed in a two-stage approach, which encompasses a nonlinear and a linear compensation part. In the former part, it is usually required the knowledge of all the source distributions. In this work, we propose a less restrictive approach, where only one source distribution is needed to be known-here, chosen to be a colored Gaussian. The other sources are only required to present a time structure. The method combines, in a joint-based approach, the use of the second-order statistics (SOS) and the matching of distributions, which shows to be less costly than the classical method of computing the marginal entropy for all sources. The simulation results are favorable to the proposal. (AU)

FAPESP's process: 15/23424-6 - Nonlinear Blind Source Separation for Statistically Dependent Sources
Grantee:Denis Gustavo Fantinato
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 13/14185-2 - New Methods for Adaptive Equalization Based on Information Theoretic Learning
Grantee:Denis Gustavo Fantinato
Support Opportunities: Scholarships in Brazil - Doctorate