Title
Efficient Nonlinear Wiener Model Identification Using a Complex-Valued Simplicial Canonical Piecewise Linear Filter
Abstract
This paper proposes an efficient adaptive realization of the Wiener model for the identification of complex-valued nonlinear systems. Using a two-dimensional simplicial canonical piecewise linear filter for the complex-valued nonlinear mapping, we derive a realization of the Wiener model requiring fewer parameters than previous approaches. An adaptive implementation of the proposed Wiener model is derived, and local convergence analysis for the updating algorithm is presented. The tradeoff between computational complexity and modeling performance is discussed. Simulations of a system identification example show that the proposed algorithm can provide similar or better performance than other approaches in terms of computational complexity, convergence speed, and final mean-squared error (MSE)
Year
DOI
Venue
2007
10.1109/TSP.2006.890893
IEEE Transactions on Signal Processing
Keywords
Field
DocType
convergence speed,efficient nonlinear wiener model,linear filter,complex-valued simplicial canonical piecewise,local convergence analysis,complex-valued nonlinear system,complex-valued nonlinear mapping,proposed wiener model,wiener model,efficient adaptive realization,adaptive implementation,better performance,computational complexity,adaptive system,adaptive filter,signal processing,mean square error,convergence,adaptive filters,mean squared error,computational modeling,identification,nonlinear filter,linearity,adaptive systems,piecewise linear,nonlinear system,system identification,model identification,nonlinear systems,local convergence,mse
Wiener filter,Mathematical optimization,Nonlinear system,Control theory,Rate of convergence,Local convergence,Adaptive filter,System identification,Piecewise linear function,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
55
5
1053-587X
Citations 
PageRank 
References 
7
0.76
27
Authors
4
Name
Order
Citations
PageRank
J.E. Cousseau1385.45
J.L. Figueroa270.76
Stefan Werner31545124.74
T.I. Laakso4284.39