We obtain the Shannon capacity of a fading channel with channel side information at the transmitter and receiver, and at the receiver alone. The optimal power adaptation in the former case is \water-pouring" in time, analogous to water-pouring in frequency for time-invariant frequency-selective fading channels. Inverting the channel results in a large capacity penalty in severe fading.
The capacity of such a channel with CSI known to both transmitter and receiver, and with average power constraint on the transmitter, is given in REF .
Capacity of fading channels with channel side information
IEEE Transactions on Information Theory
Computer Science