Summary: EUROPEAN TRANSACTIONS ON TELECOMMUNICATIONS
Eur. Trans. Telecomms. 2007; 18:235­244
Published online 13 September 2006 in Wiley InterScience
(www.interscience.wiley.com) DOI: 10.1002/ett.1152
Letter
Information Theory
Gaussian inputs: Performance limits over non-coherent
SISO and MIMO channels
Rasika R. Perera, Thushara D. Abhayapala
and Tony S. Pollock
Department of Information Engineering, Research School of Information Sciences and Engineering,
The Australian National University, Canberra ACT 0200, Australia
SUMMARY
Performance limits of information transfer over a discrete time memoryless Rayleigh fading channel with
neither the receiver nor the transmitter knowing the fading coefficients except its statistics is an important
problem in information theory. We derive closed form expressions for the mutual information of single input
single output (SISO) and multiple input multiple output (MIMO) Rayleigh fading channels for any antenna
number at any signal to noise ratio (SNR). Using these expressions, we show that the maximum mutual
information of non-coherent Rayleigh fading MIMO channels is achieved with a single transmitter and
multiple receivers when the input distribution is Gaussian. We show that the addition of transmit antennas

Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University

Collections: Computer Technologies and Information Sciences