Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse

Sani Umar Abdullahi; Jian Liu; Seyed Alireza Mohadeskasaei

doi:doi:10.11648/j.ajnc.20170601.12

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Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse

Sani Umar Abdullahi, Jian Liu, Seyed Alireza Mohadeskasaei

Published in American Journal of Networks and Communications (Volume 6, Issue 1)

Received: 9 March 2017 Accepted: 18 March 2017 Published: 3 April 2017

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Abstract

Modern day cellular networks are driven by the need to provide ubiquitous connectivity with very high spectral efficiency to both indoor and outdoor users, hence the need to deploy small cells over conventional macrocells in a Heterogeneous Network (Hetnet) deployment. To alleviate the resulting inter-cell and cross-tier interference, effective inter-cell interference coordination (ICIC) schemes such as Fractional Frequency Reuse (FFR) are employed, and have been widely studied in perfect geometry network scenarios which are too idealistic and not easily adaptable to the complexity of Hetnets. This work provides an analytical framework for the performance of such FFR schemes in Hetnets with antenna sectorization employed at the macro tier, by leveraging stochastic geometry tools to model base station locations of both macro and femto tiers using the Poisson Point Process (PPP). We study the effects of varying system parameters and consider cross-tier femto interference commonly ignored in many analytical works in literature. Furthermore, the femtocells employ a sensing algorithm to minimize spectrum sharing with macro users in close proximity, especially at the transition areas of center and edge region where cross-tier interference could be monumental. Numerical simulations are used to evaluate performance of the proposed framework in terms of coverage probability and average user rate, and results are compared with traditional FFR schemes and the No-FFR deployment. To the best of the author’s knowledge, this is the first analytical framework characterizing sectored-FFR schemes using stochastic geometry tools in Hetnets.

Published in	American Journal of Networks and Communications (Volume 6, Issue 1)
DOI	10.11648/j.ajnc.20170601.12
Page(s)	20-34
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Heterogeneous Networks, Intercell Interference Coordination, Fractional Frequency Reuse, Stochastic Geometry, Poisson Point Process, Coverage, Rate

References

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APA Style

Sani Umar Abdullahi, Jian Liu, Seyed Alireza Mohadeskasaei. (2017). Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. American Journal of Networks and Communications, 6(1), 20-34. https://doi.org/10.11648/j.ajnc.20170601.12

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ACS Style

Sani Umar Abdullahi; Jian Liu; Seyed Alireza Mohadeskasaei. Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. Am. J. Netw. Commun. 2017, 6(1), 20-34. doi: 10.11648/j.ajnc.20170601.12

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AMA Style

Sani Umar Abdullahi, Jian Liu, Seyed Alireza Mohadeskasaei. Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. Am J Netw Commun. 2017;6(1):20-34. doi: 10.11648/j.ajnc.20170601.12

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@article{10.11648/j.ajnc.20170601.12,
  author = {Sani Umar Abdullahi and Jian Liu and Seyed Alireza Mohadeskasaei},
  title = {Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse},
  journal = {American Journal of Networks and Communications},
  volume = {6},
  number = {1},
  pages = {20-34},
  doi = {10.11648/j.ajnc.20170601.12},
  url = {https://doi.org/10.11648/j.ajnc.20170601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajnc.20170601.12},
  abstract = {Modern day cellular networks are driven by the need to provide ubiquitous connectivity with very high spectral efficiency to both indoor and outdoor users, hence the need to deploy small cells over conventional macrocells in a Heterogeneous Network (Hetnet) deployment. To alleviate the resulting inter-cell and cross-tier interference, effective inter-cell interference coordination (ICIC) schemes such as Fractional Frequency Reuse (FFR) are employed, and have been widely studied in perfect geometry network scenarios which are too idealistic and not easily adaptable to the complexity of Hetnets. This work provides an analytical framework for the performance of such FFR schemes in Hetnets with antenna sectorization employed at the macro tier, by leveraging stochastic geometry tools to model base station locations of both macro and femto tiers using the Poisson Point Process (PPP). We study the effects of varying system parameters and consider cross-tier femto interference commonly ignored in many analytical works in literature. Furthermore, the femtocells employ a sensing algorithm to minimize spectrum sharing with macro users in close proximity, especially at the transition areas of center and edge region where cross-tier interference could be monumental. Numerical simulations are used to evaluate performance of the proposed framework in terms of coverage probability and average user rate, and results are compared with traditional FFR schemes and the No-FFR deployment. To the best of the author’s knowledge, this is the first analytical framework characterizing sectored-FFR schemes using stochastic geometry tools in Hetnets.},
 year = {2017}
}

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TY  - JOUR
T1  - Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse
AU  - Sani Umar Abdullahi
AU  - Jian Liu
AU  - Seyed Alireza Mohadeskasaei
Y1  - 2017/04/03
PY  - 2017
N1  - https://doi.org/10.11648/j.ajnc.20170601.12
DO  - 10.11648/j.ajnc.20170601.12
T2  - American Journal of Networks and Communications
JF  - American Journal of Networks and Communications
JO  - American Journal of Networks and Communications
SP  - 20
EP  - 34
PB  - Science Publishing Group
SN  - 2326-8964
UR  - https://doi.org/10.11648/j.ajnc.20170601.12
AB  - Modern day cellular networks are driven by the need to provide ubiquitous connectivity with very high spectral efficiency to both indoor and outdoor users, hence the need to deploy small cells over conventional macrocells in a Heterogeneous Network (Hetnet) deployment. To alleviate the resulting inter-cell and cross-tier interference, effective inter-cell interference coordination (ICIC) schemes such as Fractional Frequency Reuse (FFR) are employed, and have been widely studied in perfect geometry network scenarios which are too idealistic and not easily adaptable to the complexity of Hetnets. This work provides an analytical framework for the performance of such FFR schemes in Hetnets with antenna sectorization employed at the macro tier, by leveraging stochastic geometry tools to model base station locations of both macro and femto tiers using the Poisson Point Process (PPP). We study the effects of varying system parameters and consider cross-tier femto interference commonly ignored in many analytical works in literature. Furthermore, the femtocells employ a sensing algorithm to minimize spectrum sharing with macro users in close proximity, especially at the transition areas of center and edge region where cross-tier interference could be monumental. Numerical simulations are used to evaluate performance of the proposed framework in terms of coverage probability and average user rate, and results are compared with traditional FFR schemes and the No-FFR deployment. To the best of the author’s knowledge, this is the first analytical framework characterizing sectored-FFR schemes using stochastic geometry tools in Hetnets.
VL  - 6
IS  - 1
ER  -

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Author Information

Sani Umar Abdullahi

Department of Computer and Communication Engineering, University of Science and Technology Beijing (USTB), Beijing, P. R. China
Jian Liu

Department of Computer and Communication Engineering, University of Science and Technology Beijing (USTB), Beijing, P. R. China
Seyed Alireza Mohadeskasaei

Department of Computer and Communication Engineering, University of Science and Technology Beijing (USTB), Beijing, P. R. China

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Plain Text BibTeX RIS

APA Style

Sani Umar Abdullahi, Jian Liu, Seyed Alireza Mohadeskasaei. (2017). Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. American Journal of Networks and Communications, 6(1), 20-34. https://doi.org/10.11648/j.ajnc.20170601.12

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ACS Style

Sani Umar Abdullahi; Jian Liu; Seyed Alireza Mohadeskasaei. Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. Am. J. Netw. Commun. 2017, 6(1), 20-34. doi: 10.11648/j.ajnc.20170601.12

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AMA Style

Sani Umar Abdullahi, Jian Liu, Seyed Alireza Mohadeskasaei. Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse. Am J Netw Commun. 2017;6(1):20-34. doi: 10.11648/j.ajnc.20170601.12

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@article{10.11648/j.ajnc.20170601.12,
  author = {Sani Umar Abdullahi and Jian Liu and Seyed Alireza Mohadeskasaei},
  title = {Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse},
  journal = {American Journal of Networks and Communications},
  volume = {6},
  number = {1},
  pages = {20-34},
  doi = {10.11648/j.ajnc.20170601.12},
  url = {https://doi.org/10.11648/j.ajnc.20170601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajnc.20170601.12},
  abstract = {Modern day cellular networks are driven by the need to provide ubiquitous connectivity with very high spectral efficiency to both indoor and outdoor users, hence the need to deploy small cells over conventional macrocells in a Heterogeneous Network (Hetnet) deployment. To alleviate the resulting inter-cell and cross-tier interference, effective inter-cell interference coordination (ICIC) schemes such as Fractional Frequency Reuse (FFR) are employed, and have been widely studied in perfect geometry network scenarios which are too idealistic and not easily adaptable to the complexity of Hetnets. This work provides an analytical framework for the performance of such FFR schemes in Hetnets with antenna sectorization employed at the macro tier, by leveraging stochastic geometry tools to model base station locations of both macro and femto tiers using the Poisson Point Process (PPP). We study the effects of varying system parameters and consider cross-tier femto interference commonly ignored in many analytical works in literature. Furthermore, the femtocells employ a sensing algorithm to minimize spectrum sharing with macro users in close proximity, especially at the transition areas of center and edge region where cross-tier interference could be monumental. Numerical simulations are used to evaluate performance of the proposed framework in terms of coverage probability and average user rate, and results are compared with traditional FFR schemes and the No-FFR deployment. To the best of the author’s knowledge, this is the first analytical framework characterizing sectored-FFR schemes using stochastic geometry tools in Hetnets.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse
AU  - Sani Umar Abdullahi
AU  - Jian Liu
AU  - Seyed Alireza Mohadeskasaei
Y1  - 2017/04/03
PY  - 2017
N1  - https://doi.org/10.11648/j.ajnc.20170601.12
DO  - 10.11648/j.ajnc.20170601.12
T2  - American Journal of Networks and Communications
JF  - American Journal of Networks and Communications
JO  - American Journal of Networks and Communications
SP  - 20
EP  - 34
PB  - Science Publishing Group
SN  - 2326-8964
UR  - https://doi.org/10.11648/j.ajnc.20170601.12
AB  - Modern day cellular networks are driven by the need to provide ubiquitous connectivity with very high spectral efficiency to both indoor and outdoor users, hence the need to deploy small cells over conventional macrocells in a Heterogeneous Network (Hetnet) deployment. To alleviate the resulting inter-cell and cross-tier interference, effective inter-cell interference coordination (ICIC) schemes such as Fractional Frequency Reuse (FFR) are employed, and have been widely studied in perfect geometry network scenarios which are too idealistic and not easily adaptable to the complexity of Hetnets. This work provides an analytical framework for the performance of such FFR schemes in Hetnets with antenna sectorization employed at the macro tier, by leveraging stochastic geometry tools to model base station locations of both macro and femto tiers using the Poisson Point Process (PPP). We study the effects of varying system parameters and consider cross-tier femto interference commonly ignored in many analytical works in literature. Furthermore, the femtocells employ a sensing algorithm to minimize spectrum sharing with macro users in close proximity, especially at the transition areas of center and edge region where cross-tier interference could be monumental. Numerical simulations are used to evaluate performance of the proposed framework in terms of coverage probability and average user rate, and results are compared with traditional FFR schemes and the No-FFR deployment. To the best of the author’s knowledge, this is the first analytical framework characterizing sectored-FFR schemes using stochastic geometry tools in Hetnets.
VL  - 6
IS  - 1
ER  -

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