Elimination of Limit Cycles in a Class of Digital Filters Using Single Saturation Nonlinearity
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Date
2008
Authors
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Journal ISSN
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Publisher
Taylor & Francis Ltd
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Abstract
Using Lyapunov's direct method, a novel frequency-domain criterion for the elimination of limit cycles in a class of digital filters using single saturation nonlinearity is derived. The criterion turns out to be a generalization and improvement over an earlier criterion due to Kar and Singh. An example showing the effectiveness of the criterion is given. A graphical interpretation of a simplified version (involving one free parameter) of the criterion is discussed.
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Keywords
asymptotic stability, difference equations, discrete-time dynamical systems, limit cycles, nonlinear difference equations, nonlinear systems
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Citation
WoS Q
Q3
Scopus Q
Q3
Source
Volume
14
Issue
12
Start Page
1255
End Page
1265