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Chaotic behaviors of a digital filter with two’s complement arithmetic and arbitrary initial conditions and order

By Wing-Kuen Ling, Wai-Fung Hung and Peter Kwong-Shun Tam

Abstract

This letter shows some counter-intuitive simulation results that the symbolic sequences and the state variables of a digital filter with two’s complement arithmetic and arbitrary initial conditions and order will be eventually zero when all the filter parameters are even numbers, no matter the system matrix of the filter is stable or not

Topics: H310 Dynamics
Publisher: World Scientific
Year: 2004
DOI identifier: 10.1142/S0218127404010710
OAI identifier: oai:eprints.lincoln.ac.uk:3055

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Citations

  1. (1988). Chaos in digital filters," doi
  2. Chaos and fractals from third-order digital filters," doi
  3. Fractal pattern of second-order non-linear digital filters: a new symbolic analysis," doi
  4. (1990). Bifurcation phenomena in second-order digital filter with saturation-type adder overflow characteristics," doi
  5. (1992). On symbolic dynamics of a chaotic second-order digital filter," doi
  6. (1993). On chaos in digital filters: case b=-1," doi
  7. (1996). Complex behavior in digital filters with overflow nonlinearity: analytical results," doi
  8. (1991). On chaos of digital filters in the real world," doi
  9. (1993). Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity," doi
  10. (2001). Periodic behaviors in a digital filter with two’s complement arithmetic," doi

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