On Wiener Phase Noise Channels at High Signal-to-Noise Ratio

TL;DR

This paper analyzes the capacity of Wiener phase noise channels at high SNR, showing that with multi-sampling, the achievable rate grows logarithmically with SNR, with a pre-log factor of at least 1/2.

Contribution

It develops a discrete-time channel model considering filtering effects and demonstrates the rate growth and pre-log factor at high SNR with multi-sampling.

Findings

Rate grows logarithmically with SNR at high SNR

Pre-log factor is at least 1/2 with multi-sampling

Model accounts for filtering effects on phase noise

Abstract

Consider a waveform channel where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model that takes into account the effect of filtering on the phase noise is developed. The model is based on a multi-sample receiver which, at high Signal-to-Noise Ratio (SNR), achieves a rate that grows logarithmically with the SNR if the number of samples per symbol grows with the square-root of the SNR. Moreover, the pre-log factor is at least 1/2 in this case.