New Results on Criteria for Choosing Delay in Strange Attractor Reconstruction
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
Recent progress of the quasientropy approach to signal and image processing
ICIC'09 Proceedings of the 5th international conference on Emerging intelligent computing technology and applications
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In this paper, the problem of how to conveniently estimate independence from observations is addressed. Random variables (RVs) are transformed by their respective distribution functions and quantized. Then, the uniformity of the joint probability of the obtained discrete RVs is evaluated using a strictly convex function. An infinite class of new independence measures, named quasientropy (QE), is thus proposed. Unbiased estimates of the values of the distribution functions at the observations are directly utilized in estimating QE. The linear instantaneous blind source separation (BSS) algorithm based on QE can separate signals with arbitrary continuous distributions.