Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse
American Journal of Networks and Communications
Volume 6, Issue 1, February 2017, Pages: 20-34
Received: Mar. 9, 2017;
Accepted: Mar. 18, 2017;
Published: Apr. 3, 2017
Views 1299 Downloads 40
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
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.
Sani Umar Abdullahi,
Seyed Alireza Mohadeskasaei,
Stochastic Geometry Based Framework for Coverage and Rate in Heterogeneous Networks with Sectored Fractional Frequency Reuse, American Journal of Networks and Communications.
Vol. 6, No. 1,
2017, pp. 20-34.
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.
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.
T. Zahir, K. Arshad, A. Nakata, and K. Moessner, "Interference management in femtocells," IEEE Communications Surveys & Tutorials, vol. 15, pp. 293-311, 2013.
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.
V. Chandrasekhar and J. G. Andrews, "Spectrum allocation in tiered cellular networks," Communications, IEEE Transactions on, vol. 57, pp. 3059-3068, 2009.
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.
S. Mukherjee, Analytical Modeling of Heterogeneous Cellular Networks: Geometry, Coverage, and Capacity: Cambridge University Press, 2014.
M. Haenggi, Stochastic Geometry for Wireless Networks. New York: Cambridge University Press, 2013.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
F. o. B. a. B. Błaszczyszyn, Stochastic Geometry and Wireless Networks, Volum I: Theory vol. Voluma I: Now Publishers Inc., 2009.
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.