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Non-coherent Rayleigh fading MIMO channels: Capacity and optimal input

Summary: Non-coherent Rayleigh fading MIMO channels:
Capacity and optimal 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-- Information transfer over a discrete time uncorre-
lated Rayleigh fading multiple input multiple output (MIMO)
channel is considered, where neither the transmitter nor the
receiver has the knowledge of the channel state information (CSI)
except the fading statistics. We derive a capacity supremum
with the receive antenna number at any signal to noise ratio
(SNR) using Lagrange optimisation. We show that the asymptotic
capacity is double logarithmic when the input power is large. 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, one of them necessarily located at the origin. We
show how to compute the capacity numerically in multi-antenna
configuration at any SNR with the discrete input using the Kuhn-
Tucker condition for optimality. Furthermore, we show that the


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


Collections: Computer Technologies and Information Sciences