Influences of nonideal characteristics of A-D converter on estimation of the Lyapunov exponent of one-dimensional discrete-time dynamical systems

Fumiaki Uesugi, Yuji Tanaka, Yoshihiko Horio

研究成果: Article査読

抄録

The Lyapunov exponent is a means of quantitatively evaluating the orbit instability of a dynamical system. In calculating the Lyapunov exponent by measuring the time series from a dynamical system, it is necessary to input the time series data into a computer system using an A-D converter. However, since rounding errors or nonideal characteristics exist and external noise is contained in the A-D converter, the Lyapunov exponent estimated from the measured time series may differ from the true value. In this paper, assuming the offset error, gain error, integral nonlinear error, differential nonlinear error as errors due to the nonideal characteristics of the A-D converter, the effects of these nonideal characteristics on the estimation of the Lyapunov exponent of a one-dimensional discrete-time dynamical system are investigated.

本文言語English
ページ(範囲)74-81
ページ数8
ジャーナルElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
83
10
DOI
出版ステータスPublished - 2000 1 1
外部発表はい

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

フィンガープリント 「Influences of nonideal characteristics of A-D converter on estimation of the Lyapunov exponent of one-dimensional discrete-time dynamical systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル