Title :
Cross-term analysis of LNL models
Author :
Liao, Ho-En ; Sethares, William A.
Author_Institution :
Dept. of Electr. Eng., Feng Chia Univ., Taichung, Taiwan
fDate :
4/1/1996 12:00:00 AM
Abstract :
This brief proposes a method called cross-term analysis to analyze the structure of the class of LNL models, those which consist of a memoryless nonlinearity sandwiched between two linear systems. By evaluating a family of conditional expectations, cross-term analysis unambiguously determines the cross relations among all delay elements. A byproduct of this methodology is a way to determine the lengths of the two linear subsystems in the LNL model. The method is independent of the degree of nonlinearity of the static subsystem
Keywords :
FIR filters; delays; memoryless systems; parameter estimation; FIR filters; LNL models; conditional expectations; cross-term analysis; delay elements; linear filters; linear subsystems; linear-nonlinear-linear model; memoryless nonlinearity; parameter estimation; static subsystem; Circuits; Data analysis; Delay effects; Finite impulse response filter; Kernel; Linear systems; Nonlinear dynamical systems; Nonlinear filters; Parameter estimation; Polynomials;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
