Upper Bound on the Capacity of Discrete-Time Wiener Phase Noise Channels

TL;DR

This paper derives an upper bound on the capacity of discrete-time Wiener phase noise channels with oversampling, revealing how capacity scales with SNR and oversampling rate at high SNR levels.

Contribution

It provides a novel upper bound on channel capacity considering oversampling and phase noise, with a high SNR analysis that links oversampling rate to capacity pre-log.

Findings

Capacity pre-log is at most (1+α)/2 at high SNR when oversampling factor grows as SNR^α.

Derived an upper bound for the capacity of Wiener phase noise channels with integrate-and-dump sampling.

High SNR analysis shows the impact of oversampling on channel capacity scaling.

Abstract

A discrete-time Wiener phase noise channel with an integrate-and-dump multi-sample receiver is studied. An upper bound to the capacity with an average input power constraint is derived, and a high signal-to-noise ratio (SNR) analysis is performed. If the oversampling factor grows as $\text{SNR}^\alpha$ for $0\le \alpha \le 1$, then the capacity pre-log is at most $(1+\alpha)/2$ at high SNR.