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On Capacity of Non-Coherent Rayleigh Fading MIMO Channels

Summary: On Capacity of Non-Coherent Rayleigh Fading
MIMO Channels
Rasika R. Perera, Kien Nguyen, Tony S. Pollock and Thushara D. Abhayapala
Research School of Information Sciences and Engineering,
The Australian National University, Canberra ACT 0200, Australia
{Rasika.Perera, Thushara.Abhayapala}@anu.edu.au
Abstract- This paper investigates the capacity of discrete time
uncorrelated Rayleigh fading multiple input multiple output
(MIMO) channels with no channel state information (CSI) at
both the transmitter and the receiver. We prove that to achieve
the capacity, the amplitude of the multiple input needs to have
a discrete distribution with a finite number of mass points with
one of them located at the origin. We show how to compute
the capacity numerically in multi antenna configuration at any
signal to noise ratio (SNR) with the discrete input using the Kuhn-
Tucker condition for optimality. Furthermore, we show that at
low SNR, the capacity with two mass points is optimal. Since the
first mass point is necessarily located at the origin, we argue that
at low SNR, on-off keying is optimal for any antenna number. As
the number of receiver antennas increases, the maximum SNR


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


Collections: Computer Technologies and Information Sciences