Nonlinear behaviors of second-order digital filters with two’s complement arithmetic

Ling, Wing-Kuen and Ho, Charlotte Yuk-Fan and Tam, Peter Kwong-Shun (2003) Nonlinear behaviors of second-order digital filters with two’s complement arithmetic. In: The 4th ACM Postgraduate Research Day, January 2003, Hong Kong.

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Abstract

The main contribution of our work is the further exploration of some novel and counter-intuitive results on nonlinear behaviors of digital filters and provides some analytical analysis for the account of our partial results. The main implications of our results is: (1) one can select initial conditions and design the filter parameters so that chaotic behaviors can be avoided; (2) one can also select the parameters to generate chaos for certain applications, such as chaotic communications, encryption and decryption, fractal coding, etc; (3) we can find out the filter parameters when random-like chaotic patterns exhibited in some local regions on the phase plane by the Shannon entropies.

Item Type:Conference or Workshop Item (Paper)
Additional Information:The main contribution of our work is the further exploration of some novel and counter-intuitive results on nonlinear behaviors of digital filters and provides some analytical analysis for the account of our partial results. The main implications of our results is: (1) one can select initial conditions and design the filter parameters so that chaotic behaviors can be avoided; (2) one can also select the parameters to generate chaos for certain applications, such as chaotic communications, encryption and decryption, fractal coding, etc; (3) we can find out the filter parameters when random-like chaotic patterns exhibited in some local regions on the phase plane by the Shannon entropies.
Keywords:Chaos, digital filter, two’s complement arithmetic.
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3093
Deposited By:INVALID USER
Deposited On:06 Aug 2010 12:50
Last Modified:13 Mar 2013 08:43

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