Extraction of backgrounds in fluctuating systems
Journal
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Journal Volume
69
Journal Issue
3 1
Date Issued
2004
Author(s)
Tzeng, W.-J.
Abstract
We undertake an extensive analytical study on the "generalized detrended fluctuation analysis" method, designed to detect the scaling behaviors of fluctuating systems but exclude out the influences of the backgrounds (or the trends). Through our extensive studies, we systematically extract out the exact backgrounds (or the trends) of the fluctuating systems to any order, expressed in terms of the Legendre polynomial. Our results are exact and can be applied to any (1+1)-dimensional continuous fluctuating systems.
Type
journal article