Determination of the Hurst Exponent by Use of Wavelet Transforms
Materials Science
2010-05-04 v2
Abstract
We propose a new method for (global) Hurst exponent determination based on wavelets. Using this method, we analyze synthetic data with predefined Hurst exponents, fracture surfaces and data from economy. The results are compared with those obtained from Fourier spectral analysis. When many samples are available, the wavelet and Fourier methods are comparable in accuracy. However, when one or only a few samples are available, the wavelet method outperforms the Fourier method by a large margin.
Keywords
Cite
@article{arxiv.cond-mat/9707153,
title = {Determination of the Hurst Exponent by Use of Wavelet Transforms},
author = {Ingve Simonsen and Alex Hansen and Olav Magnar Nes},
journal= {arXiv preprint arXiv:cond-mat/9707153},
year = {2010}
}
Comments
10 pages RevTeX, 13 Postscript figures. Some additional material compared to previous version