We study the high-SNR capacity of MIMO Rayleigh block-fading channels in the
noncoherent setting where neither transmitter nor receiver has a priori channel
state information. We show that when the number of receive antennas is
sufficiently large and the temporal correlation within each block is "generic"
(in the sense used in the interference-alignment literature), the capacity
pre-log is given by T(1-1/N) for T<N, where T denotes the number of transmit
antennas and N denotes the block length. A comparison with the widely used
constant block-fading channel (where the fading is constant within each block)
shows that for a large block length, generic correlation increases the capacity
pre-log by a factor of about four.Comment: To be presented at IEEE Int. Symp. Inf. Theory (ISIT) 2013, Istanbul,
Turke
