On \(1/f\) noise
type: Item
instance of: scholarly article
title: On \(1/f\) noise
zbMATH Open document ID: 1264.94060
DOI: 10.1155/2012/673648
author: Ming Li
author: Wei Zhao
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Due to the fact that \(1/f\) noise gains the increasing interests in the field of biomedical signal processing and living systems, we present this introductive survey that may suffice to exhibit the elementary and the particularities of \(1/f\) noise in comparison with conventional random functions. Three theorems are given for highlighting the particularities of \(1/f\) noise. The first says that a random function with long-range dependence (LRD) is a \(1/f\) noise. The secondindicates that a heavy-tailed random function is in the class of \(1/f\) noise. The third provides a type of stochastic differential equations that produce \(1/f\) noise.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 62M10
Mathematics Subject Classification ID: 62M15
Mathematics Subject Classification ID: 60G22
zbMATH DE Number: 6173472
Wikidata QID: Q58911563
describes a project that uses: LSD
describes a project that uses: longmemo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/673648
OpenAlex ID: W2726579105
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