Upper bound on non-coherent MIMO channel capacity in Rayleigh fading

Limits of information transfer over a discrete time uncorrelated Rayleigh fading 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 show the capacity supremum with the receive antenna number at any SNR using Lagrange optimisation. Furthermore, we show the asymptotic capacity when the input power is large, and compare with the existing capacity results when the receiver is equipped with large number of antennas