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International Journal of Control Volume 64, 1996 - Issue 6
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Original Articles

Output frequency characteristics of nonlinear systems

ZI-QIANG LANG Department of Automatic Control and Systems Engineering, University of Sheffield, P.O. Box 600c Mappin Street, Sheffield, SI, 4DU, U.K.
&
S. A. BILLINGS Department of Automatic Control and Systems Engineering, University of Sheffield, P.O. Box 600c Mappin Street, Sheffield, SI, 4DU, U.K.
Pages 1049-1067 | Received 28 Sep 1995, Published online: 24 Feb 2007
 
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Abstract

Expressions for the output frequency characteristics of nonlinear systems are derived for both multitone and general inputs to provide a natural extension of the linear relationship Y(jω)  =  H lpar;jω) U lpar;jω). Algorithms for computing the frequency range produced by arbitrary order nonlinear outputs are also described as an extension to the well known concept in linear systems that the frequency range of the system output is the same as that of the corresponding input. The results are shown to provide important insight into the frequency domain properties of nonlinear systems.

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