Model-based fit procedure for power-law-like spectra

Details Model-based fit procedure for power-law-like spectra Model-based fit procedure for power-law-like spectra

2005-10-03

arxiv.org/abs/physics/0510011v1

Journal of Computational Physics, published online 2 march 2006

Physics

Data Analysis, Statistics and Probability

12 postscript figures, submitted to J. Comp. Phys

Scientific paper

10.1016/j.jcp.2006.01.033

$1/f^\alpha$ noises are ubiquitous and affect many measurements. These noises are both a nuisance and a peculiarity of several physical systems; in dielectrics, glasses and networked liquids it is very common to study this noise to gather useful information. Sometimes it happens that the noise has a power-law shape only in a certain frequency range, and contains other important features, that are however difficult to study because simple fits often fail. Here I propose a model-based fit procedure that performs well on spectra obtained in a molecular dynamics simulation.

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