The optimal linear receiving filter for digital transmission over nonlinear channels

Author

Biglieri, Ezio ; Elia, Michele ; Lopresti, Letizia

Author_Institution

Dept. of Electron., Politecnico di Torino, Italy

Volume

35

Issue

3

fYear

1989

fDate

5/1/1989 12:00:00 AM

Firstpage

620

Lastpage

625

Abstract

The filter minimizes the mean-square error between the sampled input to the decision device and the corresponding transmitted symbols. It is shown that the structure of this optimal receiving filter corresponds to a bank of matched filters, each followed by a linear transversal filter. Applications of this theory cover nonlinear channels with memory, linearly or nonlinearly modulated signals, and disturbances other than Gaussian noise (e.g. interference from other data sources)

Keywords

digital communication systems; filtering and prediction theory; information theory; matched filters; telecommunication channels; decision device; digital transmission; interference; linear transversal filter; linearly modulated signals; matched filters; mean-square error; nonlinear channels; nonlinearly modulated signals; optimal linear receiving filter; sampled input; Additive noise; Channel bank filters; Data communication; Digital filters; Digital modulation; Gaussian noise; Matched filters; Nonlinear filters; Random processes; Transversal filters;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.30984

Filename

30984