Title :
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
fDate :
8/1/2001 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
