A new gradient search interpretation of super-exponential algorithm

Author

Li, Xi-Lin

Author_Institution

Dept. of Autom., Tsinghua Univ., Beijing, China

Volume

13

Issue

3

fYear

2006

fDate

3/1/2006 12:00:00 AM

Firstpage

173

Lastpage

176

Abstract

In this letter, the super-exponential algorithm (SEA) is interpreted as a gradient search of an extremum of the inverse filter criteria, and the optimal gradient search step-size is presented as the root of a quartic equation. Different from the gradient search interpretation presented by Mboup and Regalia in the combined channel-equalizer space, the interpretation here is directly related with the realization of SEA in the equalizer space and uncovers more convergence details of SEA under unideal conditions.

Keywords

AWGN channels; blind equalisers; convergence of numerical methods; filtering theory; gradient methods; higher order statistics; search problems; SEA; blind channel-equalization; convergence; gradient search interpretation; higher-order cumulant; inverse filter criteria; quartic equation; super-exponential algorithm; Additive noise; Convergence; Convolution; Deconvolution; Equalizers; Equations; Filters; Gaussian noise; Higher order statistics; Signal processing algorithms; Blind channel equalization; blind deconvolution; gradient method; higher-order cumulants;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2005.862600

Filename

1593630