Multifractals Properties on the Near Infrared Spectroscopy of Human Brain Hemodynamic. (5th March 2012)

• Record Type: Journal Article
• Authors: Quang Dang Khoa, Truong; Van Toi, Vo
• Other Names: Cattani Carlo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-03-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/670761
• Languages: English
• ISSNs: 1024-123X

Abstract

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.