Mutual information of non-coherent rayleigh fading channels with gaussian input

Rasika R. Perera; Tony S. Pollock; Thushara D. Abhayapala

doi:10.1109/ITW.2005.1531879

Mutual information of non-coherent rayleigh fading channels with gaussian input

Rasika R. Perera^*, Tony S. Pollock, Thushara D. Abhayapala

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, the mutual information of a discrete time Rayleigh fading channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information. We derive a closed form expression for the mutual information of single input single output Rayleigh fading channel when the input distribution is complex Gaussian. We compare the channel capacity and the mutual information attained with Gaussian input using the derived closed form expressions. Furthermore, we argue that the mutual information is bounded by the signal to noise ratio with the simulation results showing the sub optimality of Gaussian signalling in non-coherent Rayleigh fading channels.

Original language	English
Title of host publication	Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005
Pages	162-165
Number of pages	4
DOIs	https://doi.org/10.1109/ITW.2005.1531879
Publication status	Published - 2005
Event	IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005 - Rotorua, New Zealand Duration: 29 Aug 2005 → 1 Sept 2005

Publication series

Name	Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005

Conference

Conference	IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005
Country/Territory	New Zealand
City	Rotorua
Period	29/08/05 → 1/09/05

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10.1109/ITW.2005.1531879

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Perera, R. R., Pollock, T. S., & Abhayapala, T. D. (2005). Mutual information of non-coherent rayleigh fading channels with gaussian input. In Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005 (pp. 162-165). Article 1531879 (Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005). https://doi.org/10.1109/ITW.2005.1531879

@inproceedings{e9e5c6737f9e45f7837190924ea5f7a5,

title = "Mutual information of non-coherent rayleigh fading channels with gaussian input",

abstract = "In this paper, the mutual information of a discrete time Rayleigh fading channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information. We derive a closed form expression for the mutual information of single input single output Rayleigh fading channel when the input distribution is complex Gaussian. We compare the channel capacity and the mutual information attained with Gaussian input using the derived closed form expressions. Furthermore, we argue that the mutual information is bounded by the signal to noise ratio with the simulation results showing the sub optimality of Gaussian signalling in non-coherent Rayleigh fading channels.",

author = "Perera, {Rasika R.} and Pollock, {Tony S.} and Abhayapala, {Thushara D.}",

year = "2005",

doi = "10.1109/ITW.2005.1531879",

language = "English",

isbn = "078039481X",

series = "Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005",

pages = "162--165",

booktitle = "Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005",

note = "IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005 ; Conference date: 29-08-2005 Through 01-09-2005",

}

Perera, RR, Pollock, TS & Abhayapala, TD 2005, Mutual information of non-coherent rayleigh fading channels with gaussian input. in Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005., 1531879, Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005, pp. 162-165, IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005, Rotorua, New Zealand, 29/08/05. https://doi.org/10.1109/ITW.2005.1531879

Mutual information of non-coherent rayleigh fading channels with gaussian input. / Perera, Rasika R.; Pollock, Tony S.; Abhayapala, Thushara D.
Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005. 2005. p. 162-165 1531879 (Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Mutual information of non-coherent rayleigh fading channels with gaussian input

AU - Perera, Rasika R.

AU - Pollock, Tony S.

AU - Abhayapala, Thushara D.

PY - 2005

Y1 - 2005

N2 - In this paper, the mutual information of a discrete time Rayleigh fading channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information. We derive a closed form expression for the mutual information of single input single output Rayleigh fading channel when the input distribution is complex Gaussian. We compare the channel capacity and the mutual information attained with Gaussian input using the derived closed form expressions. Furthermore, we argue that the mutual information is bounded by the signal to noise ratio with the simulation results showing the sub optimality of Gaussian signalling in non-coherent Rayleigh fading channels.

AB - In this paper, the mutual information of a discrete time Rayleigh fading channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information. We derive a closed form expression for the mutual information of single input single output Rayleigh fading channel when the input distribution is complex Gaussian. We compare the channel capacity and the mutual information attained with Gaussian input using the derived closed form expressions. Furthermore, we argue that the mutual information is bounded by the signal to noise ratio with the simulation results showing the sub optimality of Gaussian signalling in non-coherent Rayleigh fading channels.

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U2 - 10.1109/ITW.2005.1531879

DO - 10.1109/ITW.2005.1531879

M3 - Conference contribution

SN - 078039481X

SN - 9780780394810

T3 - Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005

SP - 162

EP - 165

BT - Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005

T2 - IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005

Y2 - 29 August 2005 through 1 September 2005

ER -

Perera RR, Pollock TS, Abhayapala TD. Mutual information of non-coherent rayleigh fading channels with gaussian input. In Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005. 2005. p. 162-165. 1531879. (Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, ITW2005). doi: 10.1109/ITW.2005.1531879

Mutual information of non-coherent rayleigh fading channels with gaussian input

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