On the Capacity of the Wiener Phase Noise Channel: Bounds and Capacity Achieving Distributions
Journal article, 2015

In this paper, the capacity of the additive white Gaussian noise (AWGN) channel, affected by time-varying Wiener phase noise is investigated. Tight upper and lower bounds on the capacity of this channel are developed. The upper bound is obtained by using the duality approach, and considering a specific distribution over the output of the channel. In order to lower-bound the capacity, first a family of capacity-achieving input distributions is found by solving a functional optimization of the channel mutual information. Then, lower bounds on the capacity are obtained by drawing samples from the proposed distributions through Monte-Carlo simulations. The proposed capacity-achieving input distributions are circularly symmetric, non-Gaussian, and the input amplitudes are correlated over time. The evaluated capacity bounds are tight for a wide range of signal-to-noise-ratio (SNR) values, and thus they can be used to quantify the capacity. Specifically, the bounds follow the well-known AWGN capacity curve at low SNR, while at high SNR, they coincide with the high-SNR capacity result available in the literature for the phase-noise channel.

Wiener process

Phase noise

channel capacity

capacity achieving distribution

Author

M Reza Khanzadi

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Chalmers, Microtechnology and Nanoscience (MC2), Microwave Electronics

Rajet Krishnan

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Johan Söder

Ericsson

Thomas Eriksson

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

IEEE Transactions on Communications

0090-6778 (ISSN)

Vol. 63 11 4174-4184 7181667

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Communication Systems

Signal Processing

Infrastructure

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.1109/TCOMM.2015.2465389

More information

Latest update

2/7/2020 9