A Newton-like algorithm for complex variables with applications in blind equalization

Author

Yan, Guangrong ; Fan, H.Howard

Author_Institution

Dept. of Electr. & Comput. Eng. & Comput. Sci., Cincinnati Univ., OH, USA

Volume

48

Issue

2

fYear

2000

fDate

2/1/2000 12:00:00 AM

Firstpage

553

Lastpage

556

Abstract

Although the Newton algorithm has been extended to the complex domain in different forms, none of them seems to be directly applicable to blind equalization. Therefore, the objective of this correspondence is to develop an algorithm for blind equalization in the complex domain. We propose a Newton-like algorithm based on a complex Taylor series. Stochastic Newton-like algorithms (SNLA) for two blind equalization cost functions are developed. Simulations show that the new algorithms perform slightly better than the self-orthogonalizing algorithm

Keywords

Newton method; adaptive equalisers; blind equalisers; gradient methods; minimisation; series (mathematics); stochastic processes; Newton-like algorithm; blind equalization; complex Taylor series; complex domain; complex variables; cost function minimization; stochastic Newton-like algorithms; Adaptive equalizers; Blind equalizers; Convergence; Cost function; Gradient methods; Intersymbol interference; Newton method; Signal processing algorithms; Stochastic processes; Taylor series;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.823982

Filename

823982