Four methods to estimate the fractal dimension from self-affine signals (medical application)

Author

Schepers, H.E. ; van Beek, J.H.G.M. ; Bassingthwaighte, J.B.

Author_Institution

Max Planck Inst., Dortmund, Germany

Volume

11

Issue

2

fYear

1992

fDate

6/1/1992 12:00:00 AM

Firstpage

57

Lastpage

64

Abstract

Four methods for estimating the fractal dimension, namely, relative dispersion, correlation, rescaled range, and Fourier (spectral) analysis, are described. Modifications of these methods for use on self-similar or self-affine signals are presented. It is found that correlation analysis and rescaled range analysis yield seriously biased results under many circumstances. Relative dispersion analysis is well suited for long signals. Spectral analysis gives the least biased results, and also has lowest variance in the estimates of the fractal dimension.<>

Keywords

Fourier analysis; biomedical measurement; fractals; spectral analysis; Fourier analysis; correlation analysis; fractal dimension estimation methods; relative dispersion analysis; rescaled range; rescaled range analysis; self-affine signals; spectral analysis; Analysis of variance; Biomedical equipment; Blood flow; Chaos; Fractals; Heart; Medical services; Power measurement; Spatial resolution; Time series analysis;

fLanguage

English

Journal_Title

Engineering in Medicine and Biology Magazine, IEEE

Publisher

ieee

ISSN

0739-5175

Type

jour

DOI

10.1109/51.139038

Filename

139038