Gaussian Fading is the Worst Fading
Information Theory
2008-04-14 v2 math.IT
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.
Keywords
Cite
@article{arxiv.cs/0601009,
title = {Gaussian Fading is the Worst Fading},
author = {Tobias Koch and Amos Lapidoth},
journal= {arXiv preprint arXiv:cs/0601009},
year = {2008}
}
Comments
Presented at the IEEE International Symposium on Information Theory (ISIT) 2006; replaced with version that appears in the proceedings