Output frequency response characteristics of nonlinear systems. Part I: general multi-tone inputs

A systematic algorithm for determining the output frequencies generated by a nonlinear system subject to a general multi-tone input, including a bias input, is presented. The algorithm is very efficient, and circumvents many of the difficulties of 'duplicate frequencies' that are often gen...

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Bibliographic Details
Published in:International journal of control 2012-09, Vol.85 (9), p.1263-1278
Main Authors: Peyton Jones, J.C., Choudhary, K.
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Bias
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Direct current
Dynamical systems
Exact sciences and technology
Frequency response
higher-order frequency response functions
Inclusions
Nonlinear dynamics
nonlinear output spectrum
Nonlinear systems
Reproduction
Studies
Volterra systems
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Summary:A systematic algorithm for determining the output frequencies generated by a nonlinear system subject to a general multi-tone input, including a bias input, is presented. The algorithm is very efficient, and circumvents many of the difficulties of 'duplicate frequencies' that are often generated using previous methods. The inclusion of the dc bias component in the analysis is also important because of the significant effect that non-zero mean inputs can have on nonlinear system response. The algorithm is straightforward to implement on a computer, and the results are illustrated by means of an example.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2012.682263