Interference statistics and capacity analysis for uplink transmission in two-tier small cell networks: A geometric probability approach

Hina Tabassum; Zaher Dawy; Ekram Hossain; Mohamed-Slim Alouini

doi:10.1109/TWC.2014.2314101

Interference statistics and capacity analysis for uplink transmission in two-tier small cell networks: A geometric probability approach

Hina Tabassum, Zaher Dawy, Ekram Hossain, Mohamed-Slim Alouini

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

This paper presents a novel framework to derive the statistics of the interference considering dedicated and shared spectrum access for uplink transmission in two-tier small cell networks such as the macrocell-femtocell networks. The framework exploits the distance distributions from geometric probability theory to characterize the uplink interference while considering a traditional grid-model set-up for macrocells along with the randomly deployed femtocells. The derived expressions capture the impact of path-loss, composite shadowing and fading, uniform and non-uniform traffic loads, spatial distribution of femtocells, and partial and full spectral reuse among femtocells. Considering dedicated spectrum access, first, we derive the statistics of co-tier interference incurred at both femtocell and macrocell base stations (BSs) from a single interferer by approximating generalized- K composite fading distribution with the tractable Gamma distribution. We then derive the distribution of the number of interferers considering partial spectral reuse and moment generating function (MGF) of the cumulative interference for both partial and full spectral reuse scenarios. Next, we derive the statistics of the cross-tier interference at both femtocell and macrocell BSs considering shared spectrum access. Finally, we utilize the derived expressions to analyze the capacity in both dedicated and shared spectrum access scenarios. The derived expressions are validated by the Monte Carlo simulations. Numerical results are generated to assess the feasibility of shared and dedicated spectrum access in femtocells under varying traffic load and spectral reuse scenarios. © 2014 IEEE.

Original language	English (US)
Pages (from-to)	3837-3852
Number of pages	16
Journal	IEEE Transactions on Wireless Communications
Volume	13
Issue number	7
DOIs	https://doi.org/10.1109/TWC.2014.2314101
State	Published - Jul 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Manuscript received June 12, 2013; revised November 7, 2013 and March 4, 2014; accepted March 16, 2014. Date of publication March 27, 2014; date of current version July 8, 2014. The work of Hina Tabassum, Zaher Dawy, and Mohamed-Slim Alouini is supported by Grant NPRP 4-353-2-130 from the Qatar National Research Fund (a member of Qatar Foundation); the statements made herein are solely the responsibility of the authors. Part of this work has been presented at the IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC 2013) London, U.K., September 2013. The associate editor coordinating the review of this paper and approving it for publication was R. Zhang.

ASJC Scopus subject areas

Applied Mathematics
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TWC.2014.2314101

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title = "Interference statistics and capacity analysis for uplink transmission in two-tier small cell networks: A geometric probability approach",

abstract = "This paper presents a novel framework to derive the statistics of the interference considering dedicated and shared spectrum access for uplink transmission in two-tier small cell networks such as the macrocell-femtocell networks. The framework exploits the distance distributions from geometric probability theory to characterize the uplink interference while considering a traditional grid-model set-up for macrocells along with the randomly deployed femtocells. The derived expressions capture the impact of path-loss, composite shadowing and fading, uniform and non-uniform traffic loads, spatial distribution of femtocells, and partial and full spectral reuse among femtocells. Considering dedicated spectrum access, first, we derive the statistics of co-tier interference incurred at both femtocell and macrocell base stations (BSs) from a single interferer by approximating generalized- K composite fading distribution with the tractable Gamma distribution. We then derive the distribution of the number of interferers considering partial spectral reuse and moment generating function (MGF) of the cumulative interference for both partial and full spectral reuse scenarios. Next, we derive the statistics of the cross-tier interference at both femtocell and macrocell BSs considering shared spectrum access. Finally, we utilize the derived expressions to analyze the capacity in both dedicated and shared spectrum access scenarios. The derived expressions are validated by the Monte Carlo simulations. Numerical results are generated to assess the feasibility of shared and dedicated spectrum access in femtocells under varying traffic load and spectral reuse scenarios. {\textcopyright} 2014 IEEE.",

author = "Hina Tabassum and Zaher Dawy and Ekram Hossain and Mohamed-Slim Alouini",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Manuscript received June 12, 2013; revised November 7, 2013 and March 4, 2014; accepted March 16, 2014. Date of publication March 27, 2014; date of current version July 8, 2014. The work of Hina Tabassum, Zaher Dawy, and Mohamed-Slim Alouini is supported by Grant NPRP 4-353-2-130 from the Qatar National Research Fund (a member of Qatar Foundation); the statements made herein are solely the responsibility of the authors. Part of this work has been presented at the IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC 2013) London, U.K., September 2013. The associate editor coordinating the review of this paper and approving it for publication was R. Zhang.",

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AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Manuscript received June 12, 2013; revised November 7, 2013 and March 4, 2014; accepted March 16, 2014. Date of publication March 27, 2014; date of current version July 8, 2014. The work of Hina Tabassum, Zaher Dawy, and Mohamed-Slim Alouini is supported by Grant NPRP 4-353-2-130 from the Qatar National Research Fund (a member of Qatar Foundation); the statements made herein are solely the responsibility of the authors. Part of this work has been presented at the IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC 2013) London, U.K., September 2013. The associate editor coordinating the review of this paper and approving it for publication was R. Zhang.

PY - 2014/7

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N2 - This paper presents a novel framework to derive the statistics of the interference considering dedicated and shared spectrum access for uplink transmission in two-tier small cell networks such as the macrocell-femtocell networks. The framework exploits the distance distributions from geometric probability theory to characterize the uplink interference while considering a traditional grid-model set-up for macrocells along with the randomly deployed femtocells. The derived expressions capture the impact of path-loss, composite shadowing and fading, uniform and non-uniform traffic loads, spatial distribution of femtocells, and partial and full spectral reuse among femtocells. Considering dedicated spectrum access, first, we derive the statistics of co-tier interference incurred at both femtocell and macrocell base stations (BSs) from a single interferer by approximating generalized- K composite fading distribution with the tractable Gamma distribution. We then derive the distribution of the number of interferers considering partial spectral reuse and moment generating function (MGF) of the cumulative interference for both partial and full spectral reuse scenarios. Next, we derive the statistics of the cross-tier interference at both femtocell and macrocell BSs considering shared spectrum access. Finally, we utilize the derived expressions to analyze the capacity in both dedicated and shared spectrum access scenarios. The derived expressions are validated by the Monte Carlo simulations. Numerical results are generated to assess the feasibility of shared and dedicated spectrum access in femtocells under varying traffic load and spectral reuse scenarios. © 2014 IEEE.

AB - This paper presents a novel framework to derive the statistics of the interference considering dedicated and shared spectrum access for uplink transmission in two-tier small cell networks such as the macrocell-femtocell networks. The framework exploits the distance distributions from geometric probability theory to characterize the uplink interference while considering a traditional grid-model set-up for macrocells along with the randomly deployed femtocells. The derived expressions capture the impact of path-loss, composite shadowing and fading, uniform and non-uniform traffic loads, spatial distribution of femtocells, and partial and full spectral reuse among femtocells. Considering dedicated spectrum access, first, we derive the statistics of co-tier interference incurred at both femtocell and macrocell base stations (BSs) from a single interferer by approximating generalized- K composite fading distribution with the tractable Gamma distribution. We then derive the distribution of the number of interferers considering partial spectral reuse and moment generating function (MGF) of the cumulative interference for both partial and full spectral reuse scenarios. Next, we derive the statistics of the cross-tier interference at both femtocell and macrocell BSs considering shared spectrum access. Finally, we utilize the derived expressions to analyze the capacity in both dedicated and shared spectrum access scenarios. The derived expressions are validated by the Monte Carlo simulations. Numerical results are generated to assess the feasibility of shared and dedicated spectrum access in femtocells under varying traffic load and spectral reuse scenarios. © 2014 IEEE.

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DO - 10.1109/TWC.2014.2314101

M3 - Article

SN - 1536-1276

VL - 13

SP - 3837

EP - 3852

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

IS - 7

ER -

Interference statistics and capacity analysis for uplink transmission in two-tier small cell networks: A geometric probability approach

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