Gaussian Fading is the Worst Fading

2006/01/05 by Tobias Koch, Koch, Tobias, Amos Lapidoth +1
Computer Science · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.cs/0601009

Presented at the IEEE International Symposium on Information Theory (ISIT) 2006; replaced with version that appears in the proceedings

arxiv created 2008/04/14 · arxiv updated 2009/12/01

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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