Title
Identification of fifth-order block-structured nonlinear channels using i.i.d. input signals
Abstract
This paper is concerned with the problem of nonlinear Wiener chan- nel identification using input-output crossmoments. The static non- linearity is assumed to be represented by a fifth-degree polynomial. For an i.i.d. input signal, we first derive closed-form expressions for estimating the second-order kernel of the associated fifth-order Volterra model. The parameters of the linear part of the fifth-order Wiener channel are then estimated using an eigenvalue decomposi- tion of the associated second-order Volterra kernel, while the non- linear subsystem is estimated in the least square sense from the re- constructed output of the linear subsystem. The proposed identifi- cation method is illustrated by means of simulation results.
Year
Venue
Keywords
2008
EUSIPCO
wiener filters,eigenvalues and eigenfunctions,least squares approximations,nonlinear filters,associated fifth-order volterra model,closed-form expressions,eigenvalue decomposition,fifth-degree polynomial,fifth-order wiener channel,fifth-order block-structured nonlinear channels,i.i.d. input signals,input-output crossmoments,least square sense,nonlinear wiener channel identification,nonlinear subsystem,second-order volterra kernel,static nonlinearity
Field
DocType
ISSN
Kernel (linear algebra),Least squares,Applied mathematics,Discrete mathematics,Nonlinear system,Expression (mathematics),Polynomial,Communication channel,Independent and identically distributed random variables,Eigendecomposition of a matrix,Mathematics
Conference
2219-5491
Citations 
PageRank 
References 
1
0.35
7
Authors
2
Name
Order
Citations
PageRank
Alain Y. Kibangou19512.01
GéRard Favier251446.41