Mismatched CSI outage exponents of block-fading channels

We study block-fading channels where both transmitter and receiver do not know the actual channel state information (CSI) but they have access to a noisy version. We study the interplay between estimation error variances at the transmitter and at the receiver to give the optimal outage exponents. We also demonstrate that achieving a reliable channel estimate at the receiver is more important than obtaining a reliable channel state information at the transmitter in terms of outage exponent.