Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Signals with weak singularities are important for condition monitoring, fault forecasting, and medicine diagnosis.
However, the weak singularity in a signal is usually hidden by strong noise.
A novel fast method is proposed for detecting a weak singularity in a noised signal by determining a critical threshold towards chaos for the Lorenz system.
First, a rough critical threshold value is calculated by local Lyapunov exponents with a step size 0.1.
Second, the exact threshold value is calculated by the bisection algorithm.
The advantage of the method will not only reduce the computation costs, but also show the weak singular signal which can be accurately identified from strong noise.
When the variance of an external signal method embeds into a Lorenz system, according to the parametric equivalent relation between the Lorenz system and the original system, the critical threshold value of the parameter in a Lorenz system is determined.
American Psychological Association (APA)
Song, Tiezheng& Cattani, Carlo. 2012. Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1001320
Modern Language Association (MLA)
Song, Tiezheng& Cattani, Carlo. Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm. Mathematical Problems in Engineering No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-1001320
American Medical Association (AMA)
Song, Tiezheng& Cattani, Carlo. Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1001320
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001320