Spectral and Energy Efficiency of Uplink D2D Underlaid Massive MIMO Cellular Networks

One of the key 5G scenarios is that device-to-device (D2D) and massive multiple-input multiple-output (MIMO) will be co-existed. However, interference in the uplink D2D underlaid massive MIMO cellular networks needs to be coordinated, due to the vast cellular and D2D transmissions. To this end, this paper introduces a spatially dynamic power control solution for mitigating the cellular-to-D2D and D2D-to-cellular interference. In particular, the proposed D2D power control policy is rather flexible, including the special cases of no D2D links or using maximum transmit power. Under the considered power control, an analytical approach is developed to evaluate the spectral efficiency (SE) and energy efficiency (EE) in such networks. Thus, the exact expressions of SE for a cellular user or D2D transmitter are derived, which quantify the impacts of key system parameters, such as massive MIMO antennas and D2D density. Moreover, the D2D scale properties are obtained, which provide the sufficient conditions for achieving the anticipated SE. Numerical results corroborate our analysis and show that the proposed power control solution can efficiently mitigate interference between the cellular and the D2D tier. The results demonstrate that there exists the optimal D2D density for maximizing the area SE of D2D tier. In addition, the achievable EE of a cellular user can be comparable with that of a D2D user.

[1]  Robert W. Heath,et al.  Modeling heterogeneous network interference , 2012, 2012 Information Theory and Applications Workshop.

[2]  Hien Quoc Ngo,et al.  Massive MIMO in Spectrum Sharing Networks: Achievable Rate and Power Efficiency , 2017, IEEE Systems Journal.

[3]  Klaus I. Pedersen,et al.  Open Loop Power Control parameter settings impact on LTE HetNet uplink performance , 2013, 2013 IEEE International Conference on Communications Workshops (ICC).

[4]  Emil Björnson,et al.  Energy efficiency and sum rate tradeoffs for massive MIMO systems with underlaid device-to-device communications , 2016, EURASIP J. Wirel. Commun. Netw..

[5]  Erik G. Larsson,et al.  Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems , 2011, IEEE Transactions on Communications.

[6]  Geoffrey Ye Li,et al.  Device-to-device communications in cellular networks , 2016, IEEE Communications Magazine.

[7]  A. Lozano,et al.  What Will 5 G Be ? , 2014 .

[8]  Robert Schober,et al.  User Association in 5G Networks: A Survey and an Outlook , 2015, IEEE Communications Surveys & Tutorials.

[9]  Jeffrey G. Andrews,et al.  Analytical Modeling of Uplink Cellular Networks , 2012, IEEE Transactions on Wireless Communications.

[10]  Sueng Jae Bae,et al.  Dynamic power control mechanism for interference coordination of device-to-device communication in cellular networks , 2011, 2011 Third International Conference on Ubiquitous and Future Networks (ICUFN).

[11]  François Baccelli,et al.  Stochastic Geometry and Wireless Networks, Volume 1: Theory , 2009, Found. Trends Netw..

[12]  Khairi Ashour Hamdi,et al.  Capacity of MRC on Correlated Rician Fading Channels , 2008, IEEE Transactions on Communications.

[13]  BaccelliFrançois,et al.  Stochastic geometry and random graphs for the analysis and design of wireless networks , 2009 .

[14]  Kerstin Vogler,et al.  Table Of Integrals Series And Products , 2016 .

[15]  Jeffrey G. Andrews,et al.  What Will 5G Be? , 2014, IEEE Journal on Selected Areas in Communications.

[16]  Yang Yang,et al.  Transmission Capacity Analysis of Relay-Assisted Device-to-Device Overlay/Underlay Communication , 2017, IEEE Transactions on Industrial Informatics.

[17]  Sheng Zhong,et al.  Joint Resource Allocation for Device-to-Device Communications Underlaying Uplink MIMO Cellular Networks , 2015, IEEE Journal on Selected Areas in Communications.

[18]  Robert W. Heath,et al.  Secure Communications in Millimeter Wave Ad Hoc Networks , 2016, IEEE Transactions on Wireless Communications.

[19]  Jeffrey G. Andrews,et al.  Stochastic geometry and random graphs for the analysis and design of wireless networks , 2009, IEEE Journal on Selected Areas in Communications.

[20]  Ming Chen,et al.  Downlink Resource Allocation and Power Control for Device-to-Device Communication Underlaying Cellular Networks , 2016, IEEE Communications Letters.

[21]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[22]  Wei-Ping Zhu,et al.  Joint Beamforming and Power Control for Device-to-Device Communications Underlaying Cellular Networks , 2016, IEEE Journal on Selected Areas in Communications.

[23]  Jeffrey G. Andrews,et al.  Power Control for D2D Underlaid Cellular Networks: Modeling, Algorithms, and Analysis , 2013, IEEE Journal on Selected Areas in Communications.

[24]  Mohamed-Slim Alouini,et al.  On mode selection and power control for uplink D2D communication in cellular networks , 2015, 2015 IEEE International Conference on Communication Workshop (ICCW).

[25]  Yue Chen,et al.  Spectrum and Energy Efficiency in Massive MIMO Enabled HetNets: A Stochastic Geometry Approach , 2015, IEEE Communications Letters.

[26]  Linglong Dai,et al.  On the Spectral Efficiency of Massive MIMO Systems With Low-Resolution ADCs , 2015, IEEE Communications Letters.

[27]  Ali A. Nasir,et al.  Mode Selection, Resource Allocation, and Power Control for D2D-Enabled Two-Tier Cellular Network , 2015, IEEE Transactions on Communications.

[28]  Qing Wang,et al.  A Survey on Device-to-Device Communication in Cellular Networks , 2013, IEEE Communications Surveys & Tutorials.

[29]  Xiaoying Gan,et al.  Cooperative Spectrum Sharing in D2D-Enabled Cellular Networks , 2016, IEEE Transactions on Communications.

[30]  Shi Jin,et al.  Performance Analysis of Mixed-ADC Massive MIMO Systems Over Rician Fading Channels , 2017, IEEE Journal on Selected Areas in Communications.

[31]  Emil Björnson,et al.  Deploying Dense Networks for Maximal Energy Efficiency: Small Cells Meet Massive MIMO , 2015, IEEE Journal on Selected Areas in Communications.

[32]  Jeffrey G. Andrews,et al.  Heterogeneous Cellular Networks with Flexible Cell Association: A Comprehensive Downlink SINR Analysis , 2011, IEEE Transactions on Wireless Communications.

[33]  Jeffrey G. Andrews,et al.  The Interplay Between Massive MIMO and Underlaid D2D Networking , 2014, IEEE Transactions on Wireless Communications.

[34]  Kaibin Huang,et al.  Enabling Wireless Power Transfer in Cellular Networks: Architecture, Modeling and Deployment , 2012, IEEE Transactions on Wireless Communications.

[35]  Yue Chen,et al.  SE and EE of Uplink D2D Underlaid Massive MIMO Cellular Networks with Power Control , 2017, 2017 IEEE Wireless Communications and Networking Conference (WCNC).

[36]  Wei Yu,et al.  Large-Scale MIMO Versus Network MIMO for Multicell Interference Mitigation , 2014, IEEE Journal of Selected Topics in Signal Processing.

[37]  Mohamed-Slim Alouini,et al.  Analytical Modeling of Mode Selection and Power Control for Underlay D2D Communication in Cellular Networks , 2014, IEEE Transactions on Communications.

[38]  Sungsoo Park,et al.  Capacity Enhancement Using an Interference Limited Area for Device-to-Device Uplink Underlaying Cellular Networks , 2011, IEEE Transactions on Wireless Communications.

[39]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[40]  Wei Yu,et al.  Large-scale MIMO versus network MIMO for multicell interference mitigation , 2014, 2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).