A finite group of complex integers and its application to differentially coherent detection of QAM signals

Author

Egri, Robert G. ; Horrigan, F.A.

Author_Institution

M/A-COM Inc., Lowell, MA, USA

Volume

40

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

216

Lastpage

219

Abstract

A finite multiplicative group of complex integers is constructed and its application to differential detection of 16 QAM signals is given. In this group the algebraic properties of regular complex multiplication, such as commutativity, associativity, and conjugation are preserved. The challenge in finding such a group lies in the requirements for the existence of multiplicative inverses for numbers that have magnitudes different from 1, and for maintaining associativity. The group properties are used to demodulate 16 QAM signals in a differentially coherent way

Keywords

amplitude modulation; demodulation; group theory; 16 QAM signals; algebraic properties; associativity; commutativity; complex integers; conjugation; differentially coherent demodulation; differentially coherent detection; finite multiplicative group; group properties; multiplicative inverses; regular complex multiplication; Convolutional codes; Delay; Demodulation; Hardware; Performance loss; Phase detection; Phase shift keying; Quadrature amplitude modulation; Signal detection; Signal resolution;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.272485

Filename

272485