Approximation and compression of arbitrary time-series based on nonlinear dynamics

Author

Ogorzalek, M.J.

Author_Institution

Inst. de Microelectron., Centro Nacional de Microelectron., Sevilla

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

405

Abstract

Given a measured output signal from a nonlinear deterministic process in the form of a time series we estimate initial conditions in successive time intervals which reproduce in an optimal way sections of the output signal. Thus, the measured signal can be coded in terms of model equations, its parameters and a set of initial conditions. We achieve signal approximation and compression at the same time. We discuss continuous-time and discrete-time approaches

Keywords

Chua´s circuit; chaos; continuous time systems; data compression; discrete time systems; encoding; nonlinear dynamical systems; signal sampling; time series; waveform analysis; Bernoulli shift; Chua´s circuit; arbitrary time-series; chaos coding; continuous-time approach; discrete-time approach; initial conditions; model equations; nonlinear deterministic process; nonlinear dynamics; signal approximation; signal compression; successive time intervals; waveform reconstruction; Astronomy; Equations; Extraterrestrial measurements; Physics; Physiology; Seismology; Signal processing; Solid state circuits; Telecommunications; Time measurement;

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.2001.921333

Filename

921333