Modeling 1/f noise
Abstract
The noise of signals or currents consisting from a sequence of pulses, elementary events or moving discrete objects (particles) is analyzed. A simple analytically solvable model is investigated in detail both analytically and numerically. It is shown that 1/f noise may result from the statistics of the pulses transit times with random increments of the time intervals between the pulses. The model also serves as a basis for revealing parameter dependences of 1/f noise and allows one to make some generalizations. As a result the intensity of 1/f noise is expressed through the distribution and characteristic functions of the time intervals between the subsequent transit times of the pulses. The conclusion that 1/f noise may result from the clustering of the signal pulses, elementary events or particles can be drawn from the analysis of the model systems.
Cite
@article{arxiv.adap-org/9812003,
title = {Modeling 1/f noise},
author = {B. Kaulakys and T. Meskauskas},
journal= {arXiv preprint arXiv:adap-org/9812003},
year = {2009}
}
Comments
RevTex, 10 pages, 3 PostScript figures