Capacity Results for Block-Stationary Gaussian Fading Channels

We consider a peak-power-limited single-antenna block-stationary Gaussian fading channel where neither the transmitter nor the receiver knows the channel state information, but both know the channel statistics. We compute the asymptotic channel capacity in the high SNR regime. A fundamental interplay between the codeword length, communication rate, and decoding error probability is revealed. We also derive an expression for the capacity per unit energy.