Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality

Muhammad Zeeshan Shakir, Tariq S. Durrani, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs) across the cells. This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading and channel path gain matrices. In this context, we employ an approximation approach based on the estimation of probability density function (PDF) of Hadamard product of two matrices. A closed-form expression has been derived to capture the effect of variable user density in adjacent cells on optimal joint decoding capacity. The results of this paper demonstrate that the analytical HUB based on the proposed approximation approach converges to the theoretical results for medium range of signal to noise ratios and shows a comparable tighter bound on optimum joint decoding capacity.
Original languageEnglish
Title of host publication8th International Symposium on Wireless Communication Systems (ISWCS), 2011
Place of PublicationAachen, Germany
PublisherIEEE
Pages874-878
Edition2011
ISBN (Electronic)978-1-61284-402-2, 978-1-61284-401-5
ISBN (Print)978-1-61284-403-9
DOIs
Publication statusPublished - 2011
Externally publishedYes

Publication series

NameInternational Symposium on Wireless Communication Systems (ISWCS)
PublisherIEEE
ISSN (Print)2154-0217
ISSN (Electronic)2154-0225

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Decoding
Fading channels
Probability density function
Signal to noise ratio

Cite this

Shakir, M. Z., Durrani, T. S., & Alouini, M-S. (2011). Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality. In 8th International Symposium on Wireless Communication Systems (ISWCS), 2011 (2011 ed., pp. 874-878). (International Symposium on Wireless Communication Systems (ISWCS) ). Aachen, Germany: IEEE. https://doi.org/10.1109/ISWCS.2011.6125287
Shakir, Muhammad Zeeshan ; Durrani, Tariq S. ; Alouini, Mohamed-Slim. / Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality. 8th International Symposium on Wireless Communication Systems (ISWCS), 2011 . 2011. ed. Aachen, Germany : IEEE, 2011. pp. 874-878 (International Symposium on Wireless Communication Systems (ISWCS) ).
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abstract = "This paper presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs) across the cells. This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading and channel path gain matrices. In this context, we employ an approximation approach based on the estimation of probability density function (PDF) of Hadamard product of two matrices. A closed-form expression has been derived to capture the effect of variable user density in adjacent cells on optimal joint decoding capacity. The results of this paper demonstrate that the analytical HUB based on the proposed approximation approach converges to the theoretical results for medium range of signal to noise ratios and shows a comparable tighter bound on optimum joint decoding capacity.",
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Shakir, MZ, Durrani, TS & Alouini, M-S 2011, Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality. in 8th International Symposium on Wireless Communication Systems (ISWCS), 2011 . 2011 edn, International Symposium on Wireless Communication Systems (ISWCS) , IEEE, Aachen, Germany, pp. 874-878. https://doi.org/10.1109/ISWCS.2011.6125287

Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality. / Shakir, Muhammad Zeeshan; Durrani, Tariq S.; Alouini, Mohamed-Slim.

8th International Symposium on Wireless Communication Systems (ISWCS), 2011 . 2011. ed. Aachen, Germany : IEEE, 2011. p. 874-878 (International Symposium on Wireless Communication Systems (ISWCS) ).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - This paper presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs) across the cells. This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading and channel path gain matrices. In this context, we employ an approximation approach based on the estimation of probability density function (PDF) of Hadamard product of two matrices. A closed-form expression has been derived to capture the effect of variable user density in adjacent cells on optimal joint decoding capacity. The results of this paper demonstrate that the analytical HUB based on the proposed approximation approach converges to the theoretical results for medium range of signal to noise ratios and shows a comparable tighter bound on optimum joint decoding capacity.

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Shakir MZ, Durrani TS, Alouini M-S. Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality. In 8th International Symposium on Wireless Communication Systems (ISWCS), 2011 . 2011 ed. Aachen, Germany: IEEE. 2011. p. 874-878. (International Symposium on Wireless Communication Systems (ISWCS) ). https://doi.org/10.1109/ISWCS.2011.6125287