An Analysis of Unsupervised Signal Processing Methods in the Context of Correlated Sources

Authors:
Aline Neves;Cristina Wada;Ricardo Suyama;Romis Attux;João M. Romano
Affiliations:
Engineering, Modeling and Applied Social Sciences Center, UFABC, Brazil and Laboratory of Signal Processing for Communications, UNICAMP, Brazil;Department of Computer Engineering and Industrial Automation, and Laboratory of Signal Processing for Communications, UNICAMP, Brazil;Department of Microwave and Optics, and Laboratory of Signal Processing for Communications, UNICAMP, Brazil;Department of Computer Engineering and Industrial Automation, and Laboratory of Signal Processing for Communications, UNICAMP, Brazil;Department of Microwave and Optics, and Laboratory of Signal Processing for Communications, UNICAMP, Brazil
Venue:
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Year:
2009

Citing 3
Cited 1

On the equivalence between the Godard and Shalvi-Weinstein schemes of blind equalization

Signal Processing - Special issue on blind source separation and multichannel deconvolution
The effects of PN sequences on the misconvergence of the constantmodulus algorithm (CMA)

IEEE Transactions on Signal Processing
Generalized correlation function: definition, properties, and application to blind equalization

IEEE Transactions on Signal Processing - Part I

Correntropy: Implications of nonGaussianity for the moment expansion and deconvolution

Signal Processing

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Abstract

In light of the recently proposed generalized correlation function named correntropy, which exploits higher-order statistics and the time structure of signals, we have, in this work, two main objectives: 1) to give a new interpretation --- founded on the relationships between the constant modulus (CM) and Shalvi-Weinstein criteria and between the latter and methods for ICA based on nongaussianity --- to the performance of the constant modulus approach under dependent sources and 2) to analyze the correntropy in the context of blind deconvolution of i.i.d. and dependent sources, as well as to establish elements of a comparison between it and the CMA. The analyses and simulation results unveil some theoretical aspects hitherto unexplored.