The asymptotic capacity of noncoherent single-input multiple-output fading channels with memory and feedback

The channel capacity of a noncoherent single-input multiple-output regular fading channel with memory and with feedback is investigated. The fading process is assumed to be a general stationary and ergodic random process of finite energy and finite differential entropy rate. The feedback is assumed to be noisefree (i.e., it is of infinite capacity), but causal. It is reported that the asymptotic capacity grows double-logarithmically in the power and that the second term in the asymptotic expansion, the fading number, is unchanged with respect to the same channel without feedback.