IDENTIFICATION OF HAMMERSTEIN SYSTEMS USING SEPARABLE RANDOM MULTISINES

The choice of input signal is very important in identification of nonlinear systems. In this paper, it is shown that random multisines with a flat amplitude spectrum are separable. The separability ...

[1]  Johan Schoukens,et al.  Hammerstein-Wiener system estimator initialization , 2002, Autom..

[2]  J. Schoukens,et al.  Identification of Linear Systems with Nonlinear Distortions , 2003 .

[3]  Rik Pintelon,et al.  Generation of enhanced initial estimates for Hammerstein Systems , 2004, Autom..

[4]  Johan Schoukens,et al.  Computing an initial estimate of a Wiener-Hammerstein system with a random phase multisine excitation , 2005, IEEE Transactions on Instrumentation and Measurement.

[5]  R. Luus,et al.  A noniterative method for identification using Hammerstein model , 1971 .

[6]  Johan Schoukens,et al.  Initial estimates of Wiener and Hammerstein systems using multisine excitation , 2001, IEEE Trans. Instrum. Meas..

[7]  Stephen A. Billings,et al.  Identification of systems containing linear dynamic and static nonlinear elements , 1982, Autom..

[8]  J. F. Wagner,et al.  Elliptically symmetric distributions , 1968, IEEE Trans. Inf. Theory.

[9]  Er-Wei Bai,et al.  Convergence of the iterative Hammerstein system identification algorithm , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[10]  Julian J. Bussgang,et al.  Crosscorrelation functions of amplitude-distorted gaussian signals , 1952 .

[11]  Albert H. Nuttall Theory and application of the separable class of random processes , 1958 .

[12]  P. Stoica On the convergence of an iterative algorithm used for Hammerstein system identification , 1981 .

[13]  Lennart Ljung,et al.  Linear approximations of nonlinear FIR systems for separable input processes , 2005, Autom..

[14]  K. Narendra,et al.  An iterative method for the identification of nonlinear systems using a Hammerstein model , 1966 .

[15]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[16]  M. Enqvist Linear models of nonlinear systems , 2005 .

[17]  S. Billings,et al.  Theory of separable processes with applications to the identification of nonlinear systems , 1978 .