Distinguishing stationary/nonstationary scaling processes using wavelet Tsallis \(q\)-entropies
type: Item
instance of: scholarly article
title: Distinguishing stationary/nonstationary scaling processes using wavelet Tsallis \(q\)-entropies
zbMATH Open document ID: 1264.62094
DOI: 10.1155/2012/867042
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Classification of processes as stationary or nonstationary has been recognized as an important and unsolved problem in the analysis of scaling signals. Stationarity or nonstationarity determines not only the form of autocorrelations and moments but also the selection of estimators. In this paper, a methodology for classifying scaling processes as stationary or nonstationary is proposed. The method is based on wavelet Tsallis \(q\)-entropies and particularly on the behaviour of these entropies for scaling signals. It is demonstrated that the observed wavelet Tsallis \(q\)-entropies of \(1/f\) signals can be modeled by sum-cosh apodizing functions which allocate constant entropies to a set of scaling signals and varying entropies to the rest and that this allocation is controlled by \(q\). The proposed methodology, therefore, differentiates stationary signals from non-stationary ones based on the observed wavelet Tsallis entropies for \(1/f\) signals. Experimental studies using synthesized signals confirm that the proposed method not only achieves satisfactorily classifications but also outperforms current methods proposed in the literature.
Mathematics Subject Classification ID: 62M99
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 6173653
author: Julio Ramírez-Pacheco
author: Deni Torres Roman
author: Homero Toral-Cruz
describes a project that uses: longmemo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/867042
OpenAlex ID: W2033471971
Wikidata QID: Q58912573
cites work: Q4865042
cites work: Q4301585
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description: scientific article; zbMATH DE number 6173653