Gaussian Fading is the Worst Fading

Computer Science – Information Theory

Scientific paper

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

Scientific paper

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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