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Admissibility of unstable second-order digital filter with two’s complement arithmetic

By Wing-Kuen Ling, Yuk-Fan Ho and Peter Kwong-Shun Tam

Abstract

In this letter, we have extended the existing results on the admissible set of periodic symbolic sequences of a second-order digital filter with marginally stable system matrix to the unstable case. Based on this result, the initial conditions can be computed using the symbolic sequences. The truncation error of the representation of an initial condition due to the use of a finite number of symbols is studied

Topics: H310 Dynamics
Publisher: Wiley
Year: 2004
OAI identifier: oai:eprints.lincoln.ac.uk:3053

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Citations

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  2. (1990). Fractal pattern of second-order non-linear digital filters: a new symbolic analysis,” doi
  3. (1992). On symbolic dynamics of a chaotic second-order digital filter,” doi
  4. (1993). Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity,” doi

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