Identification of Parametric (NARMAX) Models from Estimated Volterra Kernels

  • Xiao Zhao
  • Vasilis Z. Marmarelis


A method for Nonlinear Auto-Regressive Moving-Average with exogenous input (NARMAX) model identification is proposed that is based on Volterra kernel estimates obtained from input-output data. The method relies on the fundamental relations between Volterra kernels and the parameters of NARMAX models, which are derived using “generalized harmonic balance”. The method identifies different order terms of the NARMAX model separately (up to 3rd-order), allowing easier determination of the structure of the NARMAX model and yielding better parameter estimates. Simulation results are compared with the prediction-error stepwise-regression estimation algorithm introduced by Billings and Voon (1986) and show that the proposed method yields more accurate parameter estimates in the presence of noise.


Volterra Model eXogenous Input Volterra Kernel Accurate Parameter Estimate Good Parameter Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Xiao Zhao
    • 1
  • Vasilis Z. Marmarelis
    • 1
  1. 1.Departments of Biomedical and Electrical EngineeringUniversity of Southern CaliforniaUSA

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