Multifractals Properties on the Near Infrared Spectroscopy of Human Brain Hemodynamic

Truong Quang Dang Khoa and Vo Van Toi

Mathematical Problems in Engineering, 2012, vol. 2012, 1-12

Abstract:

Nonlinear physics presents us with a perplexing variety of complicated fractal objects and strange sets. Naturally one wishes to characterize the objects and describe the events occurring on them. Moreover, most time series found in “real-life” applications appear quite noisy. Therefore, at almost every point in time, they cannot be approximated either by the Taylor series or by the Fourier series of just a few terms. Many experimental time series have fractal features and display singular behavior, the so-called singularities. The multifractal spectrum quantifies the degree of fractals in the processes generating the time series. A novel definition is proposed called full-width Hölder exponents that indicate maximum expansion of multifractal spectrum. The obtained results have demonstrated the multifractal structure of near-infrared spectroscopy time series and the evidence for brain imagery activities.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:670761

DOI: 10.1155/2012/670761

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