Bounds on Mutual Information of Rayleigh Fading
Channels with Gaussian Input
Rasika R. Perera, Tony S. Pollock*, and Thushara D. Abhayapala*
Department of Information Engineering
Research School of Information Sciences and Engineering
The Australian National University, ACT 0200, AUSTRALIA
Abstract-- The mutual information of a discrete time Rayleigh
fading channel is considered, where neither the transmitter nor
the receiver has the knowledge of the channel state information.
We specifically derive a lower bound for the mutual information
of this channel when the input distribution is Gaussian. The
bound is expressed 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.
Index Terms-- Differential Entropy, Channel Capacity, Mutual
Information, Rayleigh Fading, Gaussian Distribution.
AN independent and identically distributed (iid) Gaussian
is the capacity achieving input distribution for additive