Abstract
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.