A new interpolation theorem with application to pulse transmission

Author

Lechleider, Joseph W.

Author_Institution

Bellcore, Morristown, NJ, USA

Volume

39

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

1438

Lastpage

1444

Abstract

An interpolation theorem is determined for the case when there are a finite number of arbitrarily placed sampling instants and the interpolation function is the output of a known filter. They are also the interpolation functions with the specified properties that have minimum energy. The theorem is used to determine the input to a communications channel given a finite number of samples of its output. This provides a generalization of matched filters and a perspective on the benefits of fractionally spaced equalization. The theorem is also used to construct masks of a family of pulses that are specified by the range of pulse voltages at a finite number of sampling instants. The theory determines how the pulse masks thus constructed is transformed when the pulse family is transmitted through a filter such as a length of transmission line

Keywords

digital communication systems; filtering and prediction theory; information theory; interpolation; matched filters; arbitrarily placed sampling; communications channel; fractionally spaced equalization; interpolation theorem; matched filters; pulse masks; pulse transmission; Filtering theory; Interpolation; Matched filters; Power transmission lines; Pulse shaping methods; Sampling methods; Shape; Signal design; Transmission line theory; Voltage;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.103038

Filename

103038