On the structure of nonlinear polynomial models: Higher order correlation functions, spectra, and term clusters

被引:13
作者
Aguirre, LA
机构
[1] Centre de Pesquisa e Desenvolvimento em Engenharia Elétrica, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte, M.G
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1997年 / 44卷 / 05期
关键词
higher order; identification; modeling; moments; nonlinear systems; spectra; term clusters;
D O I
10.1109/81.572342
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
A framework is established which relates the structure of nonlinear polynomial models to the dynamical properties of the estimation data, Such a framework uses the concepts of term clusters, higher order correlation functions and higher order spectra. The results discussed in this brief offer a new way of understanding and interpreting term clusters in structure selection problems for nonlinear polynomial models, A numerical example which uses real data is included to illustrate the new results.
引用
收藏
页码:450 / 453
页数:4
相关论文
共 11 条
[1]   IMPROVED STRUCTURE SELECTION FOR NONLINEAR MODELS BASED ON TERM CLUSTERING [J].
AGUIRRE, LA ;
BILLINGS, SA .
INTERNATIONAL JOURNAL OF CONTROL, 1995, 62 (03) :569-587
[2]   IDENTIFICATION OF MIMO NON-LINEAR SYSTEMS USING A FORWARD-REGRESSION ORTHOGONAL ESTIMATOR [J].
BILLINGS, SA ;
CHEN, S ;
KORENBERG, MJ .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (06) :2157-2189
[3]   BISPECTRAL AND TRISPECTRAL CHARACTERIZATION OF TRANSITION TO CHAOS IN THE DUFFING OSCILLATOR [J].
Chandran, Vinod ;
Elgar, Steve ;
Pezeshki, Charles .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (03) :551-557
[4]  
CHUA LO, 1993, IEEE T CIRCUITS SYST, V40, P10
[5]   HIGHER-ORDER SPECTRAL ANALYSIS TO DETECT NONLINEAR INTERACTIONS IN MEASURED TIME SERIES AND AN APPLICATION TO CHUA'S CIRCUIT [J].
Elgar, Steve ;
Chandran, Vinod .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (01) :19-34
[6]   STRUCTURE IDENTIFICATION OF NONLINEAR DYNAMIC-SYSTEMS - A SURVEY ON INPUT OUTPUT APPROACHES [J].
HABER, R ;
UNBEHAUEN, H .
AUTOMATICA, 1990, 26 (04) :651-677
[7]   APPLICATION AND COMPARISON OF DIFFERENT IDENTIFICATION SCHEMES UNDER INDUSTRIAL CONDITIONS [J].
KORTMANN, M ;
JANISZOWSKI, K ;
UNBEHAUEN, H .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (06) :2275-2296
[8]   INPUT OUTPUT PARAMETRIC MODELS FOR NON-LINEAR SYSTEMS .2. STOCHASTIC NON-LINEAR SYSTEMS [J].
LEONTARITIS, IJ ;
BILLINGS, SA .
INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (02) :329-344
[9]   TRIPLE CORRELATIONS [J].
LOHMANN, AW ;
WIRNITZER, B .
PROCEEDINGS OF THE IEEE, 1984, 72 (07) :889-901
[10]  
Nikias C., 1993, Higher-order Spectra Analysis: A Nonlinear Signal Processing Framework