Human electroencephalograms seen as fractal time series: Mathematical analysis and visualization

Authors:
Vladimir Kulish;Alexei Sourin;Olga Sourina
Affiliations:
School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Computer Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Venue:
Computers in Biology and Medicine
Year:
2006

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Abstract

The paper presents a novel technique of nonlinear spectral analysis, which has been used for processing encephalograms of humans. This technique is based on the concept of generalized entropy of a given probability distribution, known as the Renyi entropy that allows defining the set of generalized fractal dimensions of encephalogram (EEG) and determining fractal spectra of encephalographic signals. Unlike the Fourier spectra, the spectra of fractal dimensions contain information of both frequency and amplitude characteristics of EEG and can be used together with well-accepted techniques of EEG analysis as an enhancement of the latter. Powered by volume visualization of the brain activity, the method provides new clues for understanding the mental processes in humans.