Multidimensional Modulation and Coding in Optical Transport
Journal article, 2017

This paper reviews the performance of optimized modulation formats in 2, 4, and 8 dimensions. We present performance (lower bounds) for higher dimensions by exploiting known performance of binary block codes. Ultimately, the achievable information rates of given modulation formats and receiver types are limited by the mutual information and generalized mutual information. We exemplify how these metrics can be used for system performance as well as to quantify the performance differences between four types of systems; using hard or soft decision on bits or symbols.

Modulation formats

Generalized mutual information

Higher dimensions

Mutual informations

Achievable information rate

Optimized modulation

Multi-dimensional modulations

Binary block codes


Magnus Karlsson

Chalmers, Microtechnology and Nanoscience (MC2), Photonics

Erik Agrell

Chalmers, Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

Journal of Lightwave Technology

0733-8724 (ISSN)

Vol. PP 99 7582378-

Driving Forces

Sustainable development

Areas of Advance

Nanoscience and Nanotechnology


Basic sciences

Subject Categories

Communication Systems



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