Distinguishing StationaryNonstationary Scaling Processes Using Wavelet Tsallis q-Entropies
Joint Authors
Ramirez Pacheco, Julio
Torres Román, Deni
Toral Cruz, Homero
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-09
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Classification of processes as stationary or nonstationary has been recognized as an important and unresolved 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 allocates 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.
American Psychological Association (APA)
Ramirez Pacheco, Julio& Torres Román, Deni& Toral Cruz, Homero. 2012. Distinguishing StationaryNonstationary Scaling Processes Using Wavelet Tsallis q-Entropies. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1002038
Modern Language Association (MLA)
Ramirez Pacheco, Julio…[et al.]. Distinguishing StationaryNonstationary Scaling Processes Using Wavelet Tsallis q-Entropies. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1002038
American Medical Association (AMA)
Ramirez Pacheco, Julio& Torres Román, Deni& Toral Cruz, Homero. Distinguishing StationaryNonstationary Scaling Processes Using Wavelet Tsallis q-Entropies. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1002038
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1002038