Output frequency properties of nonlinear systems

Xingjian Jing, Zi Qiang Lang, Stephen A. Billings

Research output: Journal article publicationJournal articleAcademic researchpeer-review

45 Citations (Scopus)


Nonlinear systems usually have complicated output frequencies. For the class of Volterra systems, some interesting properties of the output frequencies are studied in this paper. These properties show theoretically the periodicity of the output super-harmonic and inter-modulation frequencies and clearly demonstrate the mechanism of the interaction between different output harmonics incurred by different input nonlinearities in system output spectrum. These new results have significance in the analysis and design of nonlinear systems and nonlinear filters in order to achieve a specific output spectrum in a desired frequency band by taking advantage of nonlinearities. Examples and discussions are given to illustrate these new results.
Original languageEnglish
Pages (from-to)681-690
Number of pages10
JournalInternational Journal of Non-Linear Mechanics
Issue number7
Publication statusPublished - 1 Sept 2010


  • Harmonics
  • Nonlinear systems
  • Output frequency response
  • Signal processing

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Applied Mathematics


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