Iterative Detection and Phase-Noise Compensation for Coded Multichannel Optical Transmission
Journal article, 2019

The problem of phase-noise compensation for correlated phase noise in coded multichannel optical transmission is investigated. To that end, a simple multichannel phase-noise model is considered and the maximum a posteriori detector for this model is approximated using two frameworks, namely factor graphs (FGs) combined with the sum–product algorithm (SPA), and a variational Bayesian (VB) inference method. The resulting pilot-aided algorithms perform iterative phase-noise compensation in cooperation with a decoder, using extended Kalman smoothing to estimate the a posteriori phase-noise distribution jointly for all channels. The system model and the proposed algorithms are verified using experimental data obtained from space-division multiplexed multicore-fiber transmission. Through Monte Carlo simulations, the algorithms are further evaluated in terms of phase-noise tolerance for coded transmission. It is observed that they significantly outperform the conventional approach to phase-noise compensation in the optical literature. Moreover, the FG/SPA framework performs similarly or better than the VB framework in terms of phase-noise tolerance of the resulting algorithms, for a slightly higher computational complexity.


factor graph

variational Bayesian inference

phase noise

sum-product algorithm


Arni Alfredsson

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Erik Agrell

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Henk Wymeersch

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

IEEE Transactions on Communications

0090-6778 (ISSN) 15580857 (eISSN)

Vol. 67 8 5532-5543

Technologies for spatial-division multiplexing: The next frontier in optical communications

Swedish Research Council (VR) (2014-6138), 2015-01-01 -- 2018-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories


Communication Systems

Signal Processing



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