Title :
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
fDate :
1/1/1994 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
