Performance of Gaussian Distributed Input in
Non-Coherent Rayleigh Fading MIMO Channels
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
e-mail: rasika.perera@ anu.edu.au
Abstract- The mutual information of a discrete time Rayleigh
fading channel is considered, where neither the transmitter nor
the receiver has knowledge of the channel state information (CSI).
We show the mutual information of uncorrelated multiple input
multiple output (MIMO) Rayleigh fading channel in closed form
when the input distribution is complex Gaussian for any transmit
and receive antenna configuration at any signal to noise ratio
(SNR). In addition, we show the maximum mutual information
is achieved with a single transmitter and multiple receivers with
a reduction in mutual information with additional transmitters.
Also, we argue that the mutual information is bounded on the
SNR similar to non-coherent SISO systems.