A harmonic probing algorithm for the multi-input Volterra series

被引:99
作者
Worden, K
Manson, G
Tomlinson, GR
机构
[1] Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, Mappin Street
关键词
D O I
10.1006/jsvi.1996.0746
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
It is shown how the conventional harmonic probing algorithm of Bedrosian and Rice can be extended to deal with the multi-input multi-output form of the Volterra functional series. Example calculations are presented for both continuous-time and discrete-time multi-input non-linear systems subject to multiple sinusoidal inputs. (C) 1997 Academic Press Limited.
引用
收藏
页码:67 / 84
页数:18
相关论文
共 26 条
[1]  
[Anonymous], 1978, ANAL PHYSL SYSTEMS
[2]  
[Anonymous], J ELECT CONTROL, DOI DOI 10.1080/00207216308937611
[3]  
[Anonymous], 1986, NUMERICAL RECIPES C
[5]   OUTPUT PROPERTIES OF VOLTERRA SYSTEMS (NONLINEAR SYSTEMS WITH MEMORY) DRIVEN BY HARMONIC AND GAUSSIAN INPUTS [J].
BEDROSIAN, E ;
RICE, SO .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1971, 59 (12) :1688-+
[6]  
Billings S., 1980, P I ELECT ENG D, V127, P272, DOI DOI 10.1049/IP-D:19800047
[7]   SPECTRAL-ANALYSIS FOR NON-LINEAR SYSTEMS .2. INTERPRETATION OF NON-LINEAR FREQUENCY-RESPONSE FUNCTIONS [J].
BILLINGS, SA ;
TSANG, KM .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1989, 3 (04) :341-359
[8]   SPECTRAL-ANALYSIS FOR NON-LINEAR SYSTEMS .1. PARAMETRIC NON-LINEAR SPECTRAL-ANALYSIS [J].
BILLINGS, SA ;
TSANG, KM .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1989, 3 (04) :319-339
[9]   ANALYSIS OF NONLINEAR-SYSTEMS WITH MULTIPLE INPUTS [J].
BUSSGANG, JJ ;
EHRMAN, L ;
GRAHAM, JW .
PROCEEDINGS OF THE IEEE, 1974, 62 (08) :1088-1119
[10]   AN ALGEBRAIC APPROACH TO NON-LINEAR FUNCTIONAL EXPANSIONS [J].
FLIESS, M ;
LAMNABHI, M ;
LAMNABHILAGARRIGUE, F .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (08) :554-570