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Cited by 429

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The capacity of discrete-time memoryless Rayleigh-fading channels

Abou-Faycal, I.C., Trott, M.D., Shamai, S.·2001·IEEE Transactions on Information Theory

Abstract

We consider transmission over a discrete-time Rayleigh fading channel, in which successive symbols face independent fading, and where neither the transmitter nor the receiver has channel state information. Subject to an average power constraint, we study the capacity-achieving distribution of this channel and prove it to be discrete with a finite number of mass points, one of them located at the origin. We numerically compute the capacity and the corresponding optimal distribution as a function of the signal-to-noise ratio (SNR). The behavior of the channel at low SNR is studied and finally a comparison is drawn with the ideal additive white Gaussian noise channel.

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Metadata

Authors
Abou-Faycal, I. C., Trott, M. D., & Shamai, S.
Venue
IEEE Transactions on Information Theory
Published
2001-05
Volume
47
Issue
4
Pages
1290-1301
ISSN
0018-9448 (ISSN-L)
OpenAlex
W2111930879
Cited by
429
References
1
FWCI
24.67
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The capacity of discrete-time memoryless Rayleigh-fading channels. https://app.cochat.ai/papers/10.1109/18.923716
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Abou-Faycal, I. C., Trott, M. D., & Shamai, S. (2001). The capacity of discrete-time memoryless Rayleigh-fading channels. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.923716

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.