Cutoff rate analysis of the Gauss-Markov fading channel with adaptive energy allocation

We use the cutoff rate to analyze reliable rates over the first-order Gauss-Markov fading channel when an optimized pilot-symbol assisted modulation (PSAM) scheme is used to provide partial CSI to the receiver. The transmitter uses BPSK modulation, and has knowledge of the SNR at the receiver and the normalized doppler spread only. Under an average energy constraint, closed form expressions are found for the optimal training and data energies, for both the adaptive and nonadaptive cases. For the non-adaptive case, a lower bound on the optimal training period, which is exact at moderate to high SNR, is given.