DocumentCode
825839
Title
Chaos in digital filters
Author
Chua, Leon O. ; Lin, Tao
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Volume
35
Issue
6
fYear
1988
fDate
6/1/1988 12:00:00 AM
Firstpage
648
Lastpage
658
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;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.1802
Filename
1802
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