On the convergence of Volterra filter equalizers using a pth-order inverse approach

Author

Fang, Yang-Wang ; Jiao, Li-Cheng ; Zhang, Xian-Da ; Pan, Jin

Author_Institution

Nat. Key Lab. for Radar Signal Process., Xidian Univ., Xi´´an, China

Volume

49

Issue

8

fYear

2001

fDate

8/1/2001 12:00:00 AM

Firstpage

1734

Lastpage

1744

Abstract

The pth-order inverse method is one of important approaches to Volterra equalization. However, when a pth-order Volterra equalizer instead of an exact Volterra equalizer is connected in cascade before (after) a nonlinear system, the existence of Volterra filter equalization and the approximation output error bound of the resulting system have yet to be reported. In this paper, the concept of local l ² stability for a Volterra system is introduced, and the algorithmic formulae of a pth-order inverse equalizer via a multidimension z-transform are presented. The output error signal and the approximation output error bound of the resulting system are investigated as well. It is shown that the approximation output error tends to zero as p tends to infinity for a finite range of input amplitude values. Finally some simulation results are presented and discussed

Keywords

approximation theory; convergence of numerical methods; equalisers; error analysis; nonlinear filters; transforms; Volterra filter equalizers; approximation output error bound; cascade; convergence; local l² stability; multidimension z-transform; nonlinear system; output error signal; pth-order inverse approach; Approximation error; Blind equalizers; Convergence; H infinity control; Inverse problems; Loudspeakers; Multidimensional systems; Nonlinear systems; Optical filters; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.934144

Filename

934144