Analyzing Chaos Systems and Fine Spectrum Sensing Using Detrended Fluctuation Analysis Algorithm
Joint Authors
González-Salas, Javier S.
Shbat, Modar S.
Simón, Jorge
Ordaz-Salazar, Francisco C.
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-16
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A numerical study that uses detrended fluctuation analysis (DFA) algorithm of time series obtained from linear and nonlinear dynamical systems is presented.
The DFA algorithm behavior toward periodic and chaotic signals is investigated and the effect of the time scale under analysis is discussed.
The displayed results prove that the DFA algorithm response is invariant (stable performance) to initial condition and chaotic system parameters.
An initial idea of DFA algorithm implementation for fine spectrum sensing (SS) is proposed under two-stage spectrum sensor approach with test statistics based on the scaling exponent value.
The outcomes demonstrate a promising new SS technique that can alleviate several imperfections such as noise power uncertainty and spatial correlation between the adjacent antenna array elements.
American Psychological Association (APA)
González-Salas, Javier S.& Shbat, Modar S.& Ordaz-Salazar, Francisco C.& Simón, Jorge. 2016. Analyzing Chaos Systems and Fine Spectrum Sensing Using Detrended Fluctuation Analysis Algorithm. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1111946
Modern Language Association (MLA)
González-Salas, Javier S.…[et al.]. Analyzing Chaos Systems and Fine Spectrum Sensing Using Detrended Fluctuation Analysis Algorithm. Mathematical Problems in Engineering No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1111946
American Medical Association (AMA)
González-Salas, Javier S.& Shbat, Modar S.& Ordaz-Salazar, Francisco C.& Simón, Jorge. Analyzing Chaos Systems and Fine Spectrum Sensing Using Detrended Fluctuation Analysis Algorithm. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1111946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111946