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Title: Nonlinear behaviors of second-order digital filters with two's complement arithmetic
Authors: Ling, BWK
Tam, PKS
Keywords: Chaos
Digital filter
Two's complement arithmetic
Issue Date: 2003
Source: Proceedings of the 4th ACM Postgraduate Research Day 2003, Hong Kong Polytechnic University, Hong Kong, January 2003, p. 21-30 How to cite?
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.
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