Digital transmission with coherent four-dimensional modulation
- 1 July 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 20 (4), 497-502
- https://doi.org/10.1109/tit.1974.1055247
Abstract
This paper examines codes for four-dimensional (4-D) modulation and their performance for digital transmission. The signals are defined byMpoints inside a sphere in four-dimensional Euclidian space. Three classes of 4-D codes are presented, and an algorithm is given which yields good 4-D codes of any length. Bounds on symbol error probability are plotted versus symbol-energy-to-noise-density ratio. The performance is shown to exceed that of amplitude- and-phase modulation in two independent two-dimensional channels.Keywords
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