Performance of Gaussian Signalling in Non Coherent Rayleigh Fading Channels

TL;DR

This paper analyzes the mutual information of a non-coherent Rayleigh fading channel with Gaussian inputs, providing a closed-form expression and bounds based on channel knowledge levels.

Contribution

It derives a closed-form mutual information expression for Gaussian inputs in non-coherent Rayleigh channels and establishes bounds related to channel state information.

Findings

Closed-form mutual information expression for Gaussian inputs

Lower bounds based on channel knowledge scenarios

Insights into capacity limits without channel state information

Abstract

The mutual information of a discrete time memoryless Rayleigh fading channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information except the fading statistics. We present the mutual information of this channel in closed form when the input distribution is complex Gaussian, and derive a lower bound in terms of the capacity of the corresponding non fading channel and the capacity when the perfect channel state information is known at the receiver.