On the generalized frequency response functions of volterra systems

Xingjian Jing, Ziqiang Lang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)


The generalized frequency response function (GFRF) for Volterra systems described by the nonlinear autoregressive with exogenous input model is determined by a new mapping function based on its parametric characteristic. The nth-order GFRF can now be directly determined in terms of the first order GFRF, which represents the linear component of the system, and model parameters, which define system nonlinearities. Some new properties of the GFRFs are therefore developed. These results can analytically reveal the linear and nonlinear effects on system frequency response functions, and also demonstrate the relationship between convergence of system Volterra series expansion and model parameters.
Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number6
Publication statusPublished - 1 Nov 2009
Externally publishedYes


  • Generalized frequency response function (GFRF)
  • NARX model
  • Nonlinear systems
  • Parametric characteristics
  • Volterra series

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Computer Science Applications
  • Mechanical Engineering
  • Instrumentation


Dive into the research topics of 'On the generalized frequency response functions of volterra systems'. Together they form a unique fingerprint.

Cite this