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

Ling, Wing-Kuen, 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.

Full content URL: http://dx.doi.org/10.1142/S0218127404010710

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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.

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 Science > School of Engineering
ID Code:3055
Deposited On:28 Jul 2010 10:47

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