Practical choices in the FRF measurement in presence of nonlinear distortions

Author

Dobrowiecki, Tadeusz P. ; Schoukens, Johan

Author_Institution

Dept. of Measurement & Inf. Syst., Budapest Tech. Univ., Hungary

Volume

50

Issue

1

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

2

Lastpage

7

Abstract

The frequency response function (FRF) of the best linear approximation to a nonlinear system is usually measured by averaging system responses to a normally distributed, filtered, and clipped random excitation (Gaussian noise). This signal is compared to the multisine signal with random phases. It is shown that a random phase multisine signal defined over an even-odd frequency grid is superior to the Gaussian signal in terms of the variance and the bias of the measured FRF of the approximated nonlinear system

Keywords

error statistics; filtering theory; frequency response; identification; mean square error methods; nonlinear distortion; nonlinear systems; random noise; Wiener-Hammerstein model; best linear approximation; clipped Gaussian noise; error statistics; even-odd frequency grid; filtering; frequency response function measurement; identification; mean square error; measurement bias; measurement variance; nonlinear distortions; nonlinear system; random phase multisine signal; Distortion measurement; Frequency measurement; Gaussian noise; Kernel; Linear approximation; Noise measurement; Nonlinear distortion; Nonlinear dynamical systems; Nonlinear systems; Phase measurement;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.903871

Filename

903871