Title :
Chaos in digital filters
Author :
Chua, Leon O. ; Lin, Tao
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
6/1/1988 12:00:00 AM
Abstract :
It is shown that when the second-order digital filter is implemented using a two´s-complement arithmetic for the addition operation, it can exhibit chaotic behavior for certain regions in the parameter space. The overflow nonlinearity of the adder results in a rather complex dynamics, with a phase portrait that is self-similar and has a fractal geometry. The intricate chaotic dynamics of this nonlinear filter is analyzed using symbolic dynamics involving three symbols
Keywords :
chaos; digital arithmetic; digital filters; filtering and prediction theory; nonlinear systems; adder; addition operation; chaotic behavior; digital filters; fractal geometry; nonlinear filter; overflow nonlinearity; phase portrait; second-order; symbolic dynamics; two´s-complement arithmetic; Adders; Chaos; Digital arithmetic; Digital filters; Fractals; Geometry; Linear systems; Nonlinear dynamical systems; Nonlinear filters; Vehicle dynamics;
Journal_Title :
Circuits and Systems, IEEE Transactions on
