Constellation Design for Channels Affected by Phase Noise

TL;DR

This paper proposes an optimization method for constellation design in phase noise-affected channels, maximizing mutual information through simulated annealing, leading to significant performance improvements over conventional constellations.

Contribution

It introduces a novel constellation and labeling optimization approach specifically for phase noise channels, enhancing mutual information performance.

Findings

Optimized constellations outperform conventional ones in mutual information.

Simulated annealing effectively jointly optimizes constellation and labeling.

Significant gains observed across various system scenarios.

Abstract

In this paper we optimize constellation sets to be used for channels affected by phase noise. The main objective is to maximize the achievable mutual information of the constellation under a given power constraint. The mutual information and pragmatic mutual information of a given constellation is calculated approximately assuming that both the channel and phase noise are white. Then a simulated annealing algorithm is used to jointly optimize the constellation and the binary labeling. The performance of optimized constellations is compared with conventional constellations showing considerable gains in all system scenarios.