A geometrical view of blind equalization

Author

Gu, Z. ; Sethares, W.A.

Author_Institution

Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA

Volume

3

fYear

1993

fDate

27-30 April 1993

Firstpage

551

Abstract

A geometrical analysis of the equalization problem is presented. The input signal forms an (m+L)-dimensional hypercube that is mapped via a convolution matrix to an m-D parallelotope, where L is the order of the channel and m is the order of the transversal equalizer. The properties of this mapping are discussed, and a criterion for equalization called the minimum width criterion is proposed. Virtually all of the standard equalizer schemes can be viewed as special cases of this minimum width criterion, including the L/sub infinity /, L/sub 1/, MSE (mean square error), LS (least squares), Sato, Godard, and kurtosis methods. It is possible to build new equalization algorithms by combining the basic distance elements uncovered by this geometric analysis.<>

Keywords

computational geometry; equalisers; hypercube networks; interference suppression; intersymbol interference; blind equalization; convolution matrix; geometrical analysis; hypercube; mapping; minimum width criterion; parallelotope; transversal equalizer;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on

Conference_Location

Minneapolis, MN, USA

ISSN

1520-6149

Print_ISBN

0-7803-7402-9

Type

conf

DOI

10.1109/ICASSP.1993.319557

Filename

319557