American Journal of Networks and Communications

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

Received: 09 March 2017    Accepted: 18 March 2017    Published: 03 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.

DOI 10.11648/j.ajnc.20170601.12
Published in American Journal of Networks and Communications (Volume 6, Issue 1, February 2017)
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), 2024. Published by Science Publishing Group

Keywords

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

References
[1] D. L. P. Xiaolu Chu, Yang Yang, Fredrik Gunnarasson, Heterogeneous Cellular Networks Theory, Simulation and Deployment. New York, United States of America: Cambridge University press, 2013.
[2] N. Saquib, E. Hossain, L. Long Bao, and K. Dong In, "Interference management in OFDMA femtocell networks: issues and approaches," Wireless Communications, IEEE, vol. 19, pp. 86-95, 2012.
[3] T. Zahir, K. Arshad, A. Nakata, and K. Moessner, "Interference management in femtocells," IEEE Communications Surveys & Tutorials, vol. 15, pp. 293-311, 2013.
[4] V. Chandrasekhar, M. Kountouris, and J. G. Andrews, "Coverage in multi-antenna two-tier networks," IEEE Transactions on Wireless Communications, vol. 8, pp. 5314-5327, 2009.
[5] V. Chandrasekhar and J. G. Andrews, "Spectrum allocation in tiered cellular networks," Communications, IEEE Transactions on, vol. 57, pp. 3059-3068, 2009.
[6] N. Saquib, E. Hossain, and K. Dong In, "Fractional frequency reuse for interference management in LTE-advanced hetnets," Wireless Communications, IEEE, vol. 20, pp. 113-122, 2013.
[7] S. Mukherjee, Analytical Modeling of Heterogeneous Cellular Networks: Geometry, Coverage, and Capacity: Cambridge University Press, 2014.
[8] M. Haenggi, Stochastic Geometry for Wireless Networks. New York: Cambridge University Press, 2013.
[9] J. G. Andrews, F. Baccelli, and R. K. Ganti, "A Tractable Approach to Coverage and Rate in Cellular Networks," IEEE Transactions on Communications, vol. 59, pp. 3122-3134, 2011.
[10] H. S. Dhillon, R. K. Ganti, F. Baccelli, and J. G. Andrews, "Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks," IEEE Journal on Selected Areas in Communications, vol. 30, pp. 550-560, 2012.
[11] R. W. Heath, M. Kountouris, and T. Bai, "Modeling heterogeneous network interference using Poisson point processes," IEEE Transactions on Signal Processing, vol. 61, pp. 4114-4126, 2013.
[12] H. Wang and M. C. Reed, "A novel tractable framework to analyse heterogeneous cellular networks," in 2011 IEEE GLOBECOM Workshops (GC Wkshps), 2011, pp. 287-292.
[13] M. Haenggi, J. G. Andrews, F. Baccelli, O. Dousse, and M. Franceschetti, "Stochastic geometry and random graphs for the analysis and design of wireless networks," IEEE Journal on Selected Areas in Communications, vol. 27, pp. 1029-1046, 2009.
[14] H. ElSawy, E. Hossain, and M. Haenggi, "Stochastic Geometry for Modeling, Analysis, and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey," IEEE Communications Surveys & Tutorials, vol. 15, pp. 996-1019, 2013.
[15] E. Dinc and M. Koca, "On dynamic fractional frequency reuse for OFDMA cellular networks," in Personal Indoor and Mobile Radio Communications (PIMRC), 2013 IEEE 24th International Symposium on, 2013, pp. 2388-2392.
[16] O. G. Aliu, M. Mehta, M. A. Imran, A. Karandikar, and B. Evans, "A New Cellular-Automata-Based Fractional Frequency Reuse Scheme," IEEE Transactions on Vehicular Technology, vol. 64, pp. 1535-1547, 2015.
[17] A. S. Mohamed, M. Abd-Elnaby, and S. A. El-Dolil, "Self-organised dynamic resource allocation scheme using enhanced fractional frequency reuse in long term evolution-advanced relay-based networks," IET Communications, vol. 10, pp. 1163-1174, 2016.
[18] D. Bilios, C. Bouras, V. Kokkinos, A. Papazois, and G. Tseliou, "Selecting the optimal fractional frequency reuse scheme in long term evolution networks," Wireless personal communications, vol. 71, pp. 2693-2712, 2013.
[19] H. Kalbkhani, V. Solouk, and M. G. Shayesteh, "Resource allocation in integrated femto-macrocell networks based on location awareness," Communications, IET, vol. 9, pp. 917-932, 2015.
[20] C. Y. Oh, M. Y. Chung, H. Choo, and T.-J. Lee, "Resource allocation with partitioning criterion for macro-femto overlay cellular networks with fractional frequency reuse," Wireless personal communications, vol. 68, pp. 417-432, 2013.
[21] S. U. Abdullahi, L. Jian, H. Ci, and Z. Xiaonan, "Enhancing throughput performance in LTE-Advanced Hetnets with buffered Fractional Frequency Reuse," in 2016 Eighth International Conference on Ubiquitous and Future Networks (ICUFN), 2016, pp. 918-923.
[22] T. D. Novlan, R. K. Ganti, J. G. Andrews, and A. Ghosh, "A New Model for Coverage with Fractional Frequency Reuse in OFDMA Cellular Networks," in 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, 2011, pp. 1-5.
[23] T. D. Novlan, R. K. Ganti, A. Ghosh, and J. G. Andrews, "Analytical Evaluation of Fractional Frequency Reuse for OFDMA Cellular Networks," IEEE Transactions on Wireless Communications, vol. 10, pp. 4294-4305, 2011.
[24] T. D. Novlan, R. K. Ganti, and J. G. Andrews, "Coverage in Two-Tier Cellular Networks with Fractional Frequency Reuse," in 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, 2011, pp. 1-5.
[25] T. D. Novlan, R. K. Ganti, A. Ghosh, and J. G. Andrews, "Analytical Evaluation of Fractional Frequency Reuse for Heterogeneous Cellular Networks," Communications, IEEE Transactions on, vol. 60, pp. 2029-2039, 2012.
[26] P. Mitran and C. Rosenberg, "On fractional frequency reuse in imperfect cellular grids," in 2012 IEEE Wireless Communications and Networking Conference (WCNC), 2012, pp. 2967-2972.
[27] R. Ullah, N. Fisal, H. Safdar, Z. Khalid, and W. Maqbool, "Fractional frequency reuse for irregular geometry based heterogeneous cellular networks," in Information Technology: Towards New Smart World (NSITNSW), 2015 5th National Symposium on, 2015, pp. 1-6.
[28] H. Wang and M. C. Reed, "Tractable model for heterogeneous cellular networks with directional antennas," in 2012 Australian Communications Theory Workshop (AusCTW), 2012, pp. 61-65.
[29] F. o. B. a. B. Błaszczyszyn, Stochastic Geometry and Wireless Networks, Volum I: Theory vol. Voluma I: Now Publishers Inc., 2009.
[30] S. Kumar, I. Z. Kovacs, G. Monghal, K. I. Pedersen, and P. E. Mogensen, "Performance Evaluation of 6-Sector-Site Deployment for Downlink UTRAN Long Term Evolution," in Vehicular Technology Conference, 2008. VTC 2008-Fall. IEEE 68th, 2008, pp. 1-5.
Author Information
  • Department of Computer and Communication Engineering, University of Science and Technology Beijing (USTB), Beijing, P. R. China

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

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

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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://download.sciencepg.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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