Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/14773
Title: Chaotic behaviours of stable second-order digital filters with two's complement arithmetic
Authors: Ling, BWK
Hung, WF
Tam, PKS
Keywords: Fractal pattern
Limit cycles
Stable
Two's complement arithmetic
Issue Date: 2003
Publisher: John Wiley & Sons
Source: International journal of circuit theory and applications, 2003, v. 31, no. 6, p. 541-554 How to cite?
Journal: International journal of circuit theory and applications 
Abstract: In this paper, the behaviours of stable second-order digital filters with two's complement arithmetic are investigated. It is found that even though the poles are inside the unit circle and the trajectory converges to a fixed point on the phase plane, that fixed point is not necessarily the origin. That fixed point is found and the set of initial conditions corresponding to such trajectories is determined. This set of initial conditions is a set of polygons inside the unit square, whereas it is an ellipse for the marginally stable case. Also, it is found that the occurrence of limit cycles and chaotic fractal pattern on the phase plane can be characterized by the periodic and aperiodic behaviours of the symbolic sequences, respectively. The fractal pattern is polygonal, whereas it is elliptical for the marginally stable case.
URI: http://hdl.handle.net/10397/14773
ISSN: 0098-9886
EISSN: 1097-007X
DOI: 10.1002/cta.243
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