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Comparison and Optimization of Differentially Encoded Transmission on Fading Channels

Using orthogonal frequency division multiplexing for power line communication the transmission bandwidth is partitioned into slowly time-varying, flat fading channels. For coding across theses channels, several differentially encoded 16-ary signal constellations with incoherent reception are compared with respect to achievable channel capacity. For high bandwidth efficiency the application of 2A8PSK, mixed amplitudelphase shift keying with two concentric rings of 8 signal points each, proves to be advantageous. The amplitude ratio of this constellation is optimized. We show that the performance of 2A8PSK is fairly robust to small variations of the optimum ratio. A comparison of the capacities for 2A8PSK and 16QAM and coherent transmission over the AWGN and the Rayleigh fading channel further motivates the choice of 2A8PSK in the applications under consideration.