An Adaptive Constant Modulus Blind Equalization Algorithm and Its Stochastic Stability Analysis

Author

Abrar, Shafayat ; Nandi, Asoke K.

Author_Institution

Dept. of Electr. Eng. & Electron., Univ. of Liverpool, Liverpool, UK

Volume

17

Issue

1

fYear

2010

Firstpage

55

Lastpage

58

Abstract

A constant modulus algorithm is presented for blind equalization of complex-valued communication channels. The proposed algorithm is obtained by solving a novel deterministic optimization criterion which comprises the minimization of a priori as well as a posteriori dispersion error, leading to an update equation having a particular zero-memory continuous Bussgang-type nonlinearity. We also derive a stochastic bound for the range of step-sizes for a generic Bussgang-type constant modulus algorithm. The theoretical result is validated through computer simulations.

Keywords

adaptive equalisers; blind equalisers; stability; stochastic processes; telecommunication channels; a posteriori dispersion error; a priori dispersion error minimization; adaptive constant modulus blind equalization algorithm; complex-valued communication channels; deterministic optimization criterion; stochastic bound; stochastic stability analysis; zero-memory continuous Bussgang-type nonlinearity; Adaptive equalizer; blind equalization; constant modulus algorithm; stochastic stability;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2009.2031765

Filename

5233779