Title :
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
fDate :
8/1/1990 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
