Gaussian Fading is the Worst Fading
<|reference_start|>Gaussian Fading is the Worst Fading: The capacity of peak-power limited, single-antenna, non-coherent, flat-fading channels with memory is considered. The emphasis is on the capacity pre-log, i.e., on the limiting ratio of channel capacity to the logarithm of the signal-to-noise ratio (SNR), as the SNR tends to infinity. It is shown that, among all stationary and ergodic fading processes of a given spectral distribution function whose law has no mass point at zero, the Gaussian process gives rise to the smallest pre-log.<|reference_end|>
@article{koch2006gaussian,
    title={Gaussian Fading is the Worst Fading},
    author={Tobias Koch, Amos Lapidoth},
    journal={arXiv preprint arXiv:cs/0601009},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0601009},
    primaryClass={cs.IT math.IT}
}