A General Model of Fractional Frequency Reuse: Modelling and Performance Analysis

Fractional Frequency Reuse (FFR) is a promising to improve the spectrum e ciency in the LongTerm Evolution (LTE) cellular network. In the literature, various research works have been conducted to evaluate the performance of FFR. However, the presented analytical approach only dealt with the special cases in which the users are divided into 2 groups and only two power levels are utilised. In this paper, we consider a general case of FFR in which the users are classified intogroups and each group is assigned a serving power level. The mathematical model of the general FFR is presented and analysed through a stochastic geometry approach. The derived analytical results in terms of average coverage probability can covered all the related well-known results in the literature. Keywords: Fractional Frequency Reuse, LongTerm Evolution, coverage probability, stochastic geometry References [1] Cisco, Cisco visual networking index: Global mobile data traffic forecast update, 2015 - 2020, 2016. [2] A.S. Hamza, S.S. Khalifa, H.S. Hamza, K. Elsayed, A Survey on Inter-Cell Interference Coordination Techniques in OFDMA-Based Cellular Networks, IEEE Commun, Surveys & Tutorials 15(4) (2013) 1642-1670 [3] 3GPP TR 36.819 V11.1.0, Coordinated multi-point operation for LTE physical layer aspects, 2011. [4] 3GPP Release 10 V0.2.1, LTE-Advanced (3GPP Release 10 and beyond), 2014. [5] 3GPP TS 36.211 V14.1.0, E-UTRA Physical Channels and Modulation, 2016. [6] R. Ghaffar, R. Knopp, Fractional frequency reuse and interference suppression for ofdma networks, in: 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, 2010, pp. 273-277. [7] Y. Kwon, O. Lee, J. Lee, M. Chung, Power Control for Soft Fractional Frequency Reuse in OFDMA System, Vol. 6018 of Lecture Notes in Comput.Science, Springer Berlin Heidelberg, 2010, book section 7 (2010) 63-71. [8] Enhancing LTE Cell-Edge Performance via PDCCH ICIC, in: FUJITSU NETWORK COMMUNICATIONS INC., 2011 [9] A.S. Hamza, S.S. Khalifa, H.S. Hamza, K. Elsayed, A Survey on Inter-Cell Interference Coordination Techniques in OFDMA-Based Cellular Networks, IEEE Commun, Surveys & Tutorials 15(4) (2013) 1642-1670. https://doi.org/10.1109/SURV.2013.013013.00028. [10] A. Busson1, I. Lahsen-Cherif2, Impact of resource blocks allocation strategies on downlink interference and sir distributions in lte networks: A stochastic geometry approach, Wireless Communications and Mobile Computing. [11] H. ElSawy, E. Hossain, M. Haenggi, Stochastic Geometry for Modeling, Analysis and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey, IEEE Commun, Surveys Tutorials 15(3) (2013) 996-1019. https://doi.org/10.1109/SURV.2013.052213.00000. [12] W. Bao, B. Liang, Stochastic Analysis of Uplink Interference in Two-Tier Femtocell Networks: Open Versus Closed Access, IEEE Trans, Wireless Commun. 14(11) (2015) 6200-6215. https://doi.org/10.1109/TWC.2015.2450216 . [13] H. Tabassum, Z. Dawy, E. Hossain, M.S. Alouini, Interference Statistics and Capacity Analysis for Uplink Transmission in Two-Tier Small Cell Networks: A Geometric Probability Approach, IEEE Trans, Wireless Commun 13(7) (2014) 3837-3852. [14] J.G. Andrews, F. Baccelli, R.K. Ganti, A tractable approach to coverage and rate in cellular networks, IEEE Transactions on Communications 59(11) (2011) 3122-3134. [15] Y. Lin, W. Bao, W. Yu, B. Liang, Optimizing User Association and Spectrum Allocation in HetNets: A Utility Perspective, IEEE J. Sel. Areas Commun. 33(6) (2015) 1025-1039. https://doi.org/10.1109/JSAC.2015.2417011. [16] M. Haenggi, Stochastic Geometry for Wireless Networks, Cambridge Univ, Press, November 2012. [17] H. ElSawy, E. Hossain, M. Haenggi, Stochastic Geometry for Modeling, Analysis and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey, IEEE Commun, Surveys Tutorials 15(3) (2013) 996-1019. [18] Huawei, R1-050507: Soft Frequency Reuse Scheme for UTRAN LTE, in: 3GPP TSG RAN WG1 Meeting #41, 2005. [19] M.A. Stegun, I.A., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, 9th Edition, Dover Publications, 1972.