Gaussian Fading is the Worst Fading

Tobias Koch; Amos Lapidoth

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arXiv · cs/0601009

Gaussian Fading is the Worst Fading

Tobias Koch·Amos Lapidoth

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Abstract

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.

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Tobias Koch, Amos Lapidoth. 2008-04-14. Gaussian Fading is the Worst Fading. https://arxiv.org/abs/cs/0601009

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