Ling, Wing-Kuen and Hung, Wai-Fung and Tam, Peter Kwong-Shun (2004) Chaotic behaviors of a digital filter with two’s complement arithmetic and arbitrary initial conditions and order. International Journal of Bifurcation and Chaos, 14 (7). pp. 2425-2430. ISSN UNSPECIFIED
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Official URL: http://dx.doi.org/10.1142/S0218127404010710
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.
| Item Type: | Article |
|---|---|
| Additional Information: | 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. |
| Keywords: | digital filter, two's complement arithmetic, chaos, fractal |
| Subjects: | H Engineering > H310 Dynamics |
| Divisions: | College of Sciences > Faculty of Science > Lincoln School of Engineering |
| Depositing User: | Wing-Kuen Ling |
| Date Deposited: | 28 Jul 2010 10:47 |
| Last Modified: | 13 Mar 2013 08:43 |
| URI: | http://eprints.lincoln.ac.uk/id/eprint/3055 |
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