Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18363
Title: Autonomous response of a third-order digital filter with two's complement arithmetic realized in cascade form
Authors: Ling, BWK
Hung, WF
Tam, PKS
Keywords: Chaotic behaviour
Third-order digital filter
Two's complement arithmetic
Issue Date: 2004
Publisher: John Wiley & Sons
Source: International journal of circuit theory and applications, 2004, v. 32, no. 2, p. 65-77 How to cite?
Journal: International journal of circuit theory and applications 
Abstract: In this letter, results on the autonomous response of a third-order digital filter with two's complement arithmetic realized as a first-order subsystem cascaded by a second-order subsystem are reported. The behaviour of the second-order subsystem depends on the pole location and the initial condition of the first-order subsystem, because the transient behaviour is affected by the first-order subsystem and this transient response can be viewed as an excitation of the original initial state to another state. New results on the set of necessary and sufficient conditions relating the trajectory equations, the behaviours of the symbolic sequences and the sets of the initial conditions are derived. The effects of the pole location and the initial condition of first-order subsystem on the overall system are discussed. Some interesting differences between the autonomous response of the second-order subsystem and the response due to the exponentially decaying input are reported. Some simulation results are given to illustrate the analytical results.
URI: http://hdl.handle.net/10397/18363
ISSN: 0098-9886
EISSN: 1097-007X
DOI: 10.1002/cta.261
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