Influences of anti-aliasing filter on estimation of the largest Lyapunov exponent

Author

Nagata, Shinya ; Horio, Yoshihiko

Author_Institution

Dept. of Electron. Eng., Tokyo Denki Univ., Japan

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

381

Abstract

The Lyapunov spectrum gives a good measure for an orbital instability that is one of the important features of dynamical systems. When the Lyapunov exponents are estimated from an experimental time series, the data must be acquired and taken into a digital computer by using an analog-to-digital (A-D) converter. However, the influence of an anti-aliasing filter used in front of the A-D converter has not been considered in general. In this paper, the effects of the anti-aliasing filter on the calculation of the largest Lyapunov exponent are investigated with numerical simulations

Keywords

Chebyshev filters; Lyapunov methods; all-pass filters; analogue-digital conversion; chaos; circuit simulation; circuit stability; low-pass filters; nonlinear dynamical systems; time series; Chebyshev filter; Lyapunov spectrum; all-pass filters; analog-to-digital converter; anti-aliasing filter; deterministic chaos; dynamical systems; largest Lyapunov exponent; low-pass filters; magnitude response; numerical simulations; orbital instability; phase response; time series; Analog-digital conversion; Chaos; Circuits; Extraterrestrial measurements; Filters; Frequency estimation; Orbital calculations;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921327

Filename

921327