Space translation properties and the minimum-BER linear-combiner DFE

Author

Chen, S. ; Mulgrew, B. ; Chng, E.S. ; Gibson, G.J.

Author_Institution

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

Volume

145

Issue

5

fYear

1998

fDate

10/1/1998 12:00:00 AM

Firstpage

316

Lastpage

322

Abstract

Decision feedback in a decision equaliser (DFE) performs a space translation that maps the DFE onto a transversal equaliser in the translated observation space. Properties of DFEs can therefore be analysed more easily by exploiting this geometric translation property. This approach is used to analyse the conventional DFE that employs a linear combination of the channel observations and the past decisions (the linear-combiner DFE). It is demonstrated that the usual minimum mean square error (MMSE) solution does not achieve the full performance potential of the linear-combiner DFE structure. A bit error rate (BER) expression for the linear-combiner DFE with binary signalling is obtained, and a method is proposed to optimally set the coefficients of the linear-combiner DFE. The performance of this minimum-BER (MBER) linear-combiner DFE is much closer to that of the optimal Bayesian DFE, compared with the MMSE linear-combiner DFE

Keywords

decision feedback equalisers; error statistics; least mean squares methods; MMSE solution; binary signalling; bit error rate; channel observations; decision equaliser; geometric translation property; linear combination; minimum mean square error solution; minimum-BER linear-combiner DFE; past decisions; performance; space translation properties; transversal equaliser;

fLanguage

English

Journal_Title

Communications, IEE Proceedings-

Publisher

iet

ISSN

1350-2425

Type

jour

DOI

10.1049/ip-com:19982281

Filename

739692