Bifurcation phenomena in second-order digital filter with saturation-type adder overflow characteristic

Author

Galias, Zbigniew ; Ogorzalek, Maciej J.

Author_Institution

Dept. of Electr. Eng., Acad. of Min. & Metall., Krakow, Poland

Volume

37

Issue

8

fYear

1990

fDate

8/1/1990 12:00:00 AM

Firstpage

1068

Lastpage

1070

Abstract

An analysis of the dynamic behavior of a second-order digital filter operating outside the region of absolute stability in the case of saturation nonlinearity of the accumulator is presented. Bifurcation phenomena associated with changes of one of the parameters of the filter´s linear part are investigated. On the basis of a numerical study, it is conjectured that systems trajectories become chaotic for some parameter ranges. Several interesting bifurcation patterns have been revealed-including devil´s staircase and self-similar, fan-type structures

Keywords

adders; chaos; digital filters; bifurcation patterns; chaotic; devil´s staircase; dynamic behavior; fan-type structures; parameter ranges; saturation nonlinearity; saturation-type adder overflow characteristic; second-order digital filter; systems trajectories; Adders; Bifurcation; Chaos; Circuit stability; Circuits and systems; Digital arithmetic; Digital filters; Nonlinear dynamical systems; Nonlinear filters; Orbits; Periodic structures; Stability analysis;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.56093

Filename

56093