On the calculation of the error probability for a multilevel modulation scheme using QAM-signaling

Author

Engdahl, Karin ; Zigangirov, Kamil Sh

Author_Institution

Dept. of Inf. Technol., Lund Univ., Sweden

Volume

44

Issue

4

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

1612

Lastpage

1620

Abstract

We analyze the quadrature amplitude modulation (QAM) version of multilevel modulation with multistage decoding using a suboptimal metric, when transmission takes place over a memoryless Gaussian channel. The upper bounds for decoding error probabilities are functions of the Chernoff bounding parameter Z. We argue that the conventional approximation of Z is not adequate; new values of Z that tightens the error bounds without causing them to lose their validity are given. The capacity for this system is also calculated, and we conclude that the use of a suboptimal metric in multistage decoding causes very little degradation in capacity compared to when the optimal metric is used in each decoding stage

Keywords

Gaussian channels; channel capacity; decoding; error statistics; memoryless systems; probability; quadrature amplitude modulation; telecommunication signalling; Chernoff bounding parameter; QAM-signaling; approximation; decoding error probabilities; error probability; memoryless Gaussian channel; multilevel modulation; multistage decoding; optimal metric; quadrature amplitude modulation; suboptimal metric; system capacity; upper bounds; Amplitude modulation; Binary codes; Degradation; Error probability; Gaussian channels; Maximum likelihood decoding; Maximum likelihood estimation; Nearest neighbor searches; Quadrature amplitude modulation; Upper bound;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.681340

Filename

681340