Performance analysis and optimization for non-uniformly deployed mmWave cellular network
Tóm tắt
In this paper, we propose a multi-tier mmWave cellular framework where sub-6 GHz macro BSs (MBSs) are assumed as a Poisson point process (PPP) and small-cell BSs (SBSs), operating on either mmWave or sub-6 GHz, follows non-uniform Poisson cluster point (PCP) model. This paper proposes both centralized and distributed user association algorithms. For the centralized two-step algorithm, we aim to maximize the sum rate while satisfying quality of service (QoS) and power consumption constraints based on eigenvalue analysis. Then, we derive the association probability, the coverage probability, and the average achievable rate, cosidering directivity and blockage effect, by stochastic geometry. On this basis, a distributed user association algorithm is proposed. The simulation results demonstrate the accuracy of our theoretical analysis and also reveal the effect of some parameters on the network performance. In addition, the proposed centralized algorithm can achieve near-optimal sum rate with a low complexity.
Tài liệu tham khảo
J.G. Andrews, et al., What will 5G be?IEEE J. Sel. Areas Commun. 32(6), 1065–1082 (2014).
F. Boccardi, et al., Five disruptive technology directions for 5G. IEEE Commun. Mag.52(2), 74–80 (2014).
M. Di Renzo, Stochastic geometry modeling and analysis of multi-tier millimeter wave cellular networks. IEEE Trans. Wirel. Commun.14(9), 5038–5057 (2015).
J.G. Andrews, et al., Modeling and analyzing millimeter wave cellular systems. IEEE Trans. Commun.65(1), 403–430 (2017).
L. Wei, et al., Key elements to enable millimeter wave communications for 5G wireless systems. IEEE Wirel. Commun.21(6), 136–143 (2014).
T. Bai, et al., Coverage and rate analysis for millimeter-wave cellular networks. IEEE Trans. Wirel. Commun.14(2), 1100–1114 (2015).
S. Singh, et al., Tractable model for rate in self-backhauled millimeter wave cellular networks. IEEE J. Sel. Areas Commun.33(10), 2196–2211 (2015).
A. Ghosh, et al., Millimeter-wave enhanced local area systems: a high-data-rate approach for future wireless networks. IEEE J. Sel. Area Commun.32(6), 1152–1163 (2014).
H. Elshaer, et al., Downlink and uplink cell association with traditional macrocells and millimeter wave small cells. IEEE Trans. Wirel. Commun.15(9), 6244–6258 (2016).
M. Di Renzo, in IEEE International Conference on Communications (ICC). Stochastic geometry modeling and performance evaluation of mmWave cellular communications (London, 2015), pp. 5992–5997.
M. N. Kulkarni, A. Ghosh, J. G. Andrews, A comparison of MIMO techniques in downlink millimeter wave cellular networks with hybrid beamforming. IEEE Trans. Commun.64(5), 1952–1967 (2016).
F. W. Vook, et al., in IEEE 48th Asilomar Conference on Signals, Systems and Computers. Massive MIMO for mmWave systems (Pacific Grove, 2014), pp. 820–824.
A. Adhikary, et al., Joint spatial division and multiplexing for mm-wave channels. IEEE J. Sel. Areas Commu.32(6), 1239–1255 (2014).
M. Haenggi, et al., Stochastic geometry and random graphs for the analysis and design of wireless networks. IEEE J. Sel. Areas Commu. 27(7), 1029–1046 (2009).
R. W. Heath, M. Kountouris, T. Bai, Modeling heterogeneous network interference using Poisson point processes. IEEE Trans. Signal Pro. 61(16), 4114–4126 (2013).
H. S. Dhillon, et al., Modeling and analysis of K-tier downlink heterogeneous cellular networks. IEEE J. Sel. Area Commu.30(3), 550–560 (2012).
S. Mukherjee, Distribution of downlink SINR in heterogeneous cellular networks. IEEE J. Sel. Area Commu.30(3), 575–585 (2012).
N. Deng, W. Zhou, M. Haenggi, Heterogeneous cellular network models with dependence. IEEE J. Sel. Area Commu. 33(10), 2167–2181 (2015).
Y. J. Chun, M. O. Hasna, A. Ghrayeb, Modeling heterogeneous cellular networks interference using poisson cluster processes. IEEE J. Sel. Area Commu. 33(10), 2182–2195 (2015).
T. Bai, et al., in Global Conference on Signal and Information Processing (GlobalSIP). Coverage analysis for millimeter wave cellular networks with blockage effects (Austin, 2013), pp. 727–730.
R. K. Ganti, M. Haenggi, Interference and outage in clustered wireless ad hoc networks. IEEE Trans. Inform. Theory. 55(9), 4067–4086 (2009).
G. J Foschini, Z Miljanic, A simple distributed autonomous power control algorithm and its convergence. IEEE Trans. Vel. Technol.42(4), 641–646 (1993).
N. Lee, et al., Power control for D2D underlaid cellular networks: modeling, algorithms, and analysis. IEEE J. Sel. Area Commun. 33(1), 1–13 (2015).
C. Guo, et al., -Fair power allocation in spectrum-sharing networks. IEEE Trans. Veh. Technol. 65(5), 3771–3777 (2016).
A. Gjendemsj, et al., Binary power control for sum rate maximization over multiple interfering links. IEEE Trans. Wirel. Commun. 7(8), 3164–3173 (2008).
H. Alzer, On some inequalities for the incomplete gamma function. Math. Comput. Am. Math. Soc. 66(218), 771–778 (1997).
A. Thornburg, T. Bai, R. Heath, Performance analysis of mmWave ad hoc networks. IEEE Trans. Signal. Process. 64(15), 4065–4079 (2016).