A Cross-Tier Scheduling Scheme for Multi-Tier Millimeter Wave Wireless Networks

Due to abundant frequency resources, millimeter wave (mm-wave) spectrum has drawn much attention as a solution to bandwidth scarcity. However, many characteristics of mm-wave transmissions, such as blockage and reduced coverage, make conventional network architectures very inefficient for use in mm-wave networks. A recently proposed multi-tier mm-wave network architecture allows for relaying around blockages and enlarges the coverage of each base station at an acceptable deployment cost. Nevertheless, this architecture introduces major challenges to the scheduling of each tier. The necessity of both enabling flexible user association and fully exploiting the wireless backhaul requires a cross-tier consideration of the multi-tier mm-wave network. We comprehensively analyze the scheduling problem of a downlink multi-tier mm-wave network by jointly regulating the transmissions in all tiers. The cross-tier optimization problem is NP-hard, but a sub-optimal scheme which iteratively optimizes the schedule in different tiers of the network is proposed with polynomial computational complexity. Simulation results show that our algorithm significantly outperforms the benchmarks in both spectral efficiency and fairness with various user distributions.

[1]  Theodore S. Rappaport,et al.  Millimeter Wave Mobile Communications for 5G Cellular: It Will Work! , 2013, IEEE Access.

[2]  Kyungwhoon Cheun,et al.  Millimeter-wave beamforming as an enabling technology for 5G cellular communications: theoretical feasibility and prototype results , 2014, IEEE Communications Magazine.

[3]  Robert W. Heath,et al.  Performance Analysis of Outdoor mmWave Ad Hoc Networks , 2014, IEEE Transactions on Signal Processing.

[4]  Robert W. Heath,et al.  Performance Analysis of mmWave Ad Hoc Networks , 2014, ArXiv.

[5]  Robert W. Heath,et al.  Coverage and capacity of millimeter-wave cellular networks , 2014, IEEE Communications Magazine.

[6]  Theodore S. Rappaport,et al.  In-building wideband partition loss measurements at 2.5 and 60 GHz , 2004, IEEE Transactions on Wireless Communications.

[7]  H.T. Friis,et al.  A Note on a Simple Transmission Formula , 1946, Proceedings of the IRE.

[8]  Mohsen Guizani,et al.  Millimeter-wave multimedia communications: challenges, methodology, and applications , 2015, IEEE Communications Magazine.

[9]  Pingping Xu,et al.  A novel link scheduling strategy for concurrent transmission in mmWave WPANs based on beamforming information , 2014, 2014 IEEE Wireless Communications and Networking Conference (WCNC).

[10]  Srikanth V. Krishnamurthy,et al.  Directional neighbor discovery in 60 GHz indoor wireless networks , 2009, MSWiM '09.

[11]  Li Su,et al.  Exploiting multi-hop relaying to overcome blockage in directional mmwave small cells , 2015, Journal of Communications and Networks.

[12]  Upamanyu Madhow,et al.  Blockage and directivity in 60 GHz wireless personal area networks: from cross-layer model to multihop MAC design , 2009, IEEE Journal on Selected Areas in Communications.

[13]  Shiwen Mao,et al.  On frame-based scheduling for directional mmWave WPANs , 2012, 2012 Proceedings IEEE INFOCOM.

[14]  Ananthram Swami,et al.  On Link Scheduling in Dual-Hop 60-GHz mmWave Networks , 2017, IEEE Transactions on Vehicular Technology.

[15]  Sayandev Mukherjee,et al.  Hidden Issues in the Simulation of Fixed Wireless Systems , 2001, Wirel. Networks.

[16]  Carlo Fischione,et al.  Optimizing Client Association for Load Balancing and Fairness in Millimeter-Wave Wireless Networks , 2015, IEEE/ACM Transactions on Networking.

[17]  Raghuraman Mudumbai,et al.  Medium Access Control for 60 GHz Outdoor Mesh Networks with Highly Directional Links , 2009, IEEE INFOCOM 2009.

[18]  Marco Di Renzo,et al.  Stochastic Geometry Modeling and Analysis of Multi-Tier Millimeter Wave Cellular Networks , 2014, IEEE Transactions on Wireless Communications.

[19]  Carlo Fischione,et al.  Distributed Association and Relaying With Fairness in Millimeter Wave Networks , 2016, IEEE Transactions on Wireless Communications.

[20]  Lei Huang,et al.  On the impact of blockage on the throughput of multi-tier millimeter-wave networks , 2016, 2016 50th Asilomar Conference on Signals, Systems and Computers.

[21]  Sungsoo Park,et al.  Transmission Capacity of Full-Duplex-Based Two-Way Ad Hoc Networks With ARQ Protocol , 2014, IEEE Transactions on Vehicular Technology.

[22]  Jean C. Walrand,et al.  Fair end-to-end window-based congestion control , 2000, TNET.

[23]  Catherine Rosenberg,et al.  Revisiting Scheduling in Heterogeneous Networks When the Backhaul Is Limited , 2015, IEEE Journal on Selected Areas in Communications.

[24]  Catherine Rosenberg,et al.  Joint Resource Allocation and User Association for Heterogeneous Wireless Cellular Networks , 2013, IEEE Transactions on Wireless Communications.

[25]  Xuemin Shen,et al.  Rex: A randomized EXclusive region based scheduling scheme for mmWave WPANs with directional antenna , 2010, IEEE Transactions on Wireless Communications.

[26]  Athanasios V. Vasilakos,et al.  Exploiting Device-to-Device Communications in Joint Scheduling of Access and Backhaul for mmWave Small Cells , 2015, IEEE Journal on Selected Areas in Communications.

[27]  H. Kuhn The Hungarian method for the assignment problem , 1955 .

[28]  Shuangfeng Han,et al.  Large-scale antenna systems with hybrid analog and digital beamforming for millimeter wave 5G , 2015, IEEE Communications Magazine.

[29]  Sundeep Rangan,et al.  On the Analysis of Scheduling in Dynamic Duplex Multihop mmWave Cellular Systems , 2015, IEEE Transactions on Wireless Communications.

[30]  Robert W. Heath,et al.  Millimeter wave cellular channel models for system evaluation , 2014, 2014 International Conference on Computing, Networking and Communications (ICNC).

[31]  Giuseppe Piro,et al.  Downlink Packet Scheduling in LTE Cellular Networks: Key Design Issues and a Survey , 2013, IEEE Communications Surveys & Tutorials.

[32]  Ram Ramanathan,et al.  On the performance of ad hoc networks with beamforming antennas , 2001, MobiHoc '01.

[33]  Shiwen Mao,et al.  Minimum Time Length Scheduling under Blockage and Interference in Multi-Hop mmWave Networks , 2014, GLOBECOM 2014.

[34]  Chin-Sean Sum,et al.  A Multi-Gbps Millimeter-Wave WPAN System Based on STDMA with Heuristic Scheduling , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[35]  Shuang Zhang,et al.  Enhanced MAC layer protocol for millimeter wave based WPAN , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

[36]  Li Su,et al.  Blockage Robust and Efficient Scheduling for Directional mmWave WPANs , 2015, IEEE Transactions on Vehicular Technology.

[37]  Xuemin Shen,et al.  Enabling device-to-device communications in millimeter-wave 5G cellular networks , 2015, IEEE Communications Magazine.

[38]  Sundeep Rangan,et al.  Initial Access in Millimeter Wave Cellular Systems , 2015, IEEE Transactions on Wireless Communications.

[39]  Ming Xiao,et al.  Multiuser Millimeter Wave Communications With Nonorthogonal Beams , 2017, IEEE Transactions on Vehicular Technology.

[40]  Lei Huang,et al.  Dynamic resource allocation in mmWave unified access and backhaul network , 2015, 2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[41]  Zhongjiang Yan,et al.  A heuristic clique based STDMA scheduling algorithm for spatial concurrent transmission in mmWave networks , 2015, 2015 IEEE Wireless Communications and Networking Conference (WCNC).

[42]  H. Vincent Poor,et al.  Random Beamforming in Millimeter-Wave NOMA Networks , 2016, IEEE Access.

[43]  Li Su,et al.  Energy-Efficient Scheduling for mmWave Backhauling of Small Cells in Heterogeneous Cellular Networks , 2015, IEEE Transactions on Vehicular Technology.