An Addendum to "How Good is PSK for Peak-Limited Fading Channels in the Low-SNR Regime?"

TL;DR

This paper proves that the recursive training scheme can operationally achieve the rate $R_{rt}$ in peak-limited Rayleigh fading channels, extending previous results to more general fading processes.

Contribution

It provides a proof of the achievability of $R_{rt}$ using recursive training for general wide-sense stationary and ergodic Rayleigh fading channels.

Findings

Recursive training scheme achieves $R_{rt}$ in general fading channels.

Extends previous results to wider class of fading processes.

Confirms the scheme's effectiveness in practical fading scenarios.

Abstract

A proof is provided of the operational achievability of $R_\mathrm{rt}$ by the recursive training scheme in \cite{zhang07:it}, for general wide-sense stationary and ergodic Rayleigh fading processes.