System identification: theory for the user
System identification: theory for the user
The statistical theory of linear systems
The statistical theory of linear systems
System identification with generalized orthonormal basis functions
Automatica (Journal of IFAC) - Special issue on trends in system identification
A bibliography on nonlinear system identification
Signal Processing - Special section on digital signal processing for multimedia communications and services
Bandpass nonlinear systems identification by higher order crosscorrelation
IEEE Transactions on Signal Processing
On-line wavelet estimation of Hammerstein system nonlinearity
International Journal of Applied Mathematics and Computer Science
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A modified version of the classical kernel nonparametric identification algorithm for nonlinearity recovering in a Hammerstein system under the existence of random noise is proposed. The assumptions imposed on the unknown characteristic are weak. The generalized kernel method proposed in the paper provides more accurate results in comparison with the classical kernel nonparametric estimate, regardless of the number of measurements. The convergence in probability of the proposed estimate to the unknown characteristic is proved and the question of the convergence rate is discussed. Illustrative simulation examples are included.