Open AccessThree-Dimensional Modulation Formats with Constant Power for Optical Communications
Author(s) -
Zhenxing Chen,
Seol-Jung Kang
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.022358
Subject(s) - computer science , modulation (music) , constellation diagram , coding (social sciences) , additive white gaussian noise , constellation , algorithm , partition (number theory) , constant (computer programming) , optics , gaussian , euclidean distance , optical communication , white noise , decoding methods , mathematics , bit error rate , telecommunications , physics , artificial intelligence , statistics , astronomy , combinatorics , quantum mechanics , acoustics , programming language
In this paper, a new method of constructing three-dimensional modulation formats with constant power is introduced. Constellations designed by the method have slightly larger minimum Euclidean distances (MEDs) than the conventional ones. No repetitive algorithm to maximize MED is used so that the new method has little computational complexity. Since signal points in the new formats are distributed regularly and symmetrically, an error control coding with systematic set-partition is applicable. We also present theoretical symbol error probability (SEP) of the new constellations in an additive white Gaussian noise environment, and demonstrate that the theoretical results are accurate. As the new modulation formats have almost the same or slightly lower SEPs than the conventional ones, they are appropriate for implementing a highly reliable optical communication system.