Impact of Feedback and Side-Information on the Asymptotic Capacity of Single-Input Multiple-Output Fading Channels With Memory

An analytic expression for the asymptotic capacity of noncoherent single-input multiple-output regular fading channels with memory and with partial receiver side information is derived and is shown to remain unchanged by causal or acausal side information at the transmitter and by a noiseless feedback link. In particular, the corresponding fading numbers are identical. Furthermore, the asymptotic capacity of a single-input single-output nonregular Gaussian fading channel with memory is investigated, and it is shown that the prelog is unaffected by noiseless feedback.