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A practical procedure for identifying time-varying nonlinear systems using basis sequence approximations

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3 Author(s)
Ralston, J.C. ; Signal Process. Res. Centre, Queensland Univ. of Technol., Brisbane, Qld., Australia ; Boashash, B. ; Zoubir, A.M.

We approximate a class of time-varying nonlinear models, called the time-varying Hammerstein series, using basis sequences in order to reduce the number of coefficients required in system modelling. The problem is motivated by the practical need to parsimoniously characterise time-varying nonlinear systems. A significant advantage of the approach is that only a single input-output record is required to obtain least-squares estimates of the model parameters. The judicious selection of basis sequence is also discussed. The method represents a simple and practical time-varying nonlinear system identification procedure. Examples are presented to demonstrate the usefulness of the technique

Published in:

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on  (Volume:5 )

Date of Conference:

7-10 May 1996