NONPARAMETRIC FREQUENCY-RESPONSE FUNCTION ESTIMATORS BASED ON NONLINEAR AVERAGING TECHNIQUES

被引:40
作者
GUILLAUME, P
PINTELON, R
SCHOUKENS, J
机构
[1] Vrije Universiteit Brussel, dept. ELEC, Brussels
关键词
SYSTEM IDENTIFICATION; NONPARAMETRIC TRANSFER FUNCTION ESTIMATORS; SPECTRAL ANALYSIS; CLOSED-LOOP MEASUREMENTS;
D O I
10.1109/19.199393
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Nonparametric frequency response function (FRF) estimators based on nonlinear averaging techniques are proposed. Under mild assumptions (which are well satisfied after a discrete Fourier transform) it is shown that their bias is proportional to the fourth-order moments of the perturbing errors on the input-output Fourier coefficients, while, for instance, the bias of the classical H-1 estimator is a function of the second-order moments. Analytical expressions are given for the bias when the frequency-domain input-output errors are zero-mean complex Gaussian (and mutually correlated).
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页码:739 / 746
页数:8
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