Output frequency response function-based analysis for nonlinear Volterra systems

Xingjian Jing, Zi Qiang Lang, Stephen A. Billings

Research output: Journal article publicationJournal articleAcademic researchpeer-review

42 Citations (Scopus)


This paper deals with the frequency domain analysis of nonlinear systems based on some recently developed results. A new systematic approach to the analysis and design of system output frequency response in terms of system time domain model parameters is proposed for nonlinear Volterra systems. A general procedure to conduct an output frequency response function (OFRF)-based analysis is given, the potential applications of the OFRF-based analysis are discussed, and some useful results and techniques are established, especially for the analysis of nonlinear systems with respect to any specific model parameters. These results facilitate and illustrate the practical application of the new method. A case study for the analysis of a mechanical system is provided to illustrate this new method.
Original languageEnglish
Pages (from-to)102-120
Number of pages19
JournalMechanical Systems and Signal Processing
Issue number1
Publication statusPublished - 1 Jan 2008
Externally publishedYes


  • Nonlinear systems
  • Output frequency response function
  • Volterra series

ASJC Scopus subject areas

  • Signal Processing
  • Mechanical Engineering


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