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Gaussian Fading Is the Worst Fading

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2006Embargo end date: 01 Jan 2006Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 56, pages 1,158-1,165 (issn: 0018-9448, eissn: 1557-9654,

Authors: Amos Lapidoth; Tobias Koch;

doi: 10.1109/tit.2009.2039036 , 10.1109/isit.2006.261591 , 10.48550/arxiv.cs/0601009 , 10.48550/arxiv.0902.3372

arXiv: http://arxiv.org/abs/cs/0601009 , http://arxiv.org/abs/0902.3372

Gaussian Fading Is the Worst Fading

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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.

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

Related Organizations

ETH Zurich
Switzerland
Signal and Information Processing Laboratory
Switzerland

Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

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