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1988•IEEE Transactions on Circuits and SystemsRequires access

Chaos in digital filters

Leon O. Chua, Theresa Lin

Open publisher page 195 citations

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.>

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What this paper is about

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.>

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OpenAlex reports 195 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.>

Key concepts: Chaotic, Phase portrait, Fractal, Complement (music), Filter (signal processing), Nonlinear system, Symbolic dynamics, Computer science

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