Energy Efficiency Maximization Under Minimum Rate Constraints in Multi-Cell MIMO Systems With Finite Buffers

Having recognized the dramatic increase in the number of mobile devices and infrastructure nodes, standards organizations and regulatory bodies have adopted energy efficiency (EE) as a key performance metric for fifth-generation networks. Recent works on multiple input multiple output (MIMO) systems have suggested that it is important to use finite-buffer models, because they may lead to better transceiver designs and more accurate performance analyses than full-buffer traffic models. Therefore, this article addresses the MIMO transceiver design problem for EE maximization in the downlink of finite-buffer multicell systems. Unlike previous works, our problem formulation takes into account per-user minimum rate requirements. We arrive at a nonconvex fractional optimization problem, which is hard to tackle. By exploiting the properties of fractional programming, and using Dinkelbach’s method, the resulting fractional form optimization problem is transformed to an equivalent optimization problem in subtractive form. Next, the nonconvexity of this problem is handled using successive convex approximation, leading to iterative centralized and decentralized resource allocation solutions. Finally, considering a realistic channel model with space, frequency and time correlations, numerical results confirm the effectiveness of the proposed algorithms and indicate significant performance gains in terms of achieved EE over existing solutions for full and finite-buffer models.

[1]  Tarcisio F. Maciel,et al.  User Scheduling for Sum-Rate Maximization Under Minimum Rate Constraints for the MIMO IBC , 2019, IEEE Wireless Communications Letters.

[2]  Jonathan Rodriguez,et al.  Green HetNet CoMP: Energy Efficiency Analysis and Optimization , 2015, IEEE Transactions on Vehicular Technology.

[3]  Matti Latva-aho,et al.  Weighted sum-rate maximization for a set of interfering links via branch and bound , 2010, 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers.

[4]  John M. Cioffi,et al.  Queue proportional scheduling via geometric programming in fading broadcast channels , 2006, IEEE Journal on Selected Areas in Communications.

[5]  Yongming Huang,et al.  Coordinated Beamforming for Energy Efficient Transmission in Multicell Multiuser Systems , 2013, IEEE Transactions on Communications.

[6]  John M. Cioffi,et al.  Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design , 2008, 2009 IEEE International Conference on Communications.

[7]  Tharm Ratnarajah,et al.  Transceiver Design for Energy-Efficiency Maximization in mmWave MIMO IoT Networks , 2020, IEEE Transactions on Green Communications and Networking.

[8]  R. Ródenas,et al.  Extensions of Dinkelbach's algorithm for solving non-linear fractional programming problems , 1999 .

[9]  Navrati Saxena,et al.  Traffic-Aware Energy Optimization in Green LTE Cellular Systems , 2014, IEEE Communications Letters.

[10]  Daniel Pérez Palomar,et al.  A tutorial on decomposition methods for network utility maximization , 2006, IEEE Journal on Selected Areas in Communications.

[11]  G. Dantzig,et al.  On the continuity of the minimum set of a continuous function , 1967 .

[12]  Antti Tölli,et al.  Decentralized Sum Rate Maximization With QoS Constraints for Interfering Broadcast Channel Via Successive Convex Approximation , 2016, IEEE Transactions on Signal Processing.

[13]  Yuri C. B. Silva,et al.  Bidirectional Sum-Power Minimization Beamforming in Dynamic TDD MIMO Networks , 2019, IEEE Transactions on Vehicular Technology.

[14]  Gerhard Fettweis,et al.  Framework for Link-Level Energy Efficiency Optimization with Informed Transmitter , 2011, IEEE Transactions on Wireless Communications.

[15]  Babak Daneshrad,et al.  Performance Indicator for MIMO MMSE Receivers in the Presence of Channel Estimation Error , 2012, IEEE Wireless Communications Letters.

[16]  Mohamad Assaad,et al.  Energy efficient transmit beamforming under queueing stability constraints , 2016, 2016 IEEE Wireless Communications and Networking Conference.

[17]  Mikael Skoglund,et al.  Distributed Coordinated Transmission with Forward-Backward Training for 5G Radio Access , 2019, IEEE Communications Magazine.

[18]  Chau Yuen,et al.  Energy Efficiency Tradeoff Mechanism Towards Wireless Green Communication: A Survey , 2016, IEEE Communications Surveys & Tutorials.

[19]  Miklós Telek,et al.  On Minimizing the MSE in the Presence of Channel State Information Errors , 2015, IEEE Communications Letters.

[20]  R. Jagannathan On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming , 1966 .

[21]  Luca Venturino,et al.  Energy-Efficient Scheduling and Power Allocation in Downlink OFDMA Networks With Base Station Coordination , 2014, IEEE Transactions on Wireless Communications.

[22]  Symeon Chatzinotas,et al.  Energy Efficiency Optimization in MIMO Interference Channels: A Successive Pseudoconvex Approximation Approach , 2019, IEEE Transactions on Signal Processing.

[23]  H. M. El Misilmani,et al.  Massive MIMO Design for 5G Networks: An Overview on Alternative Antenna Configurations and Channel Model Challenges , 2017, 2017 International Conference on High Performance Computing & Simulation (HPCS).

[24]  Wei Yu,et al.  Fractional Programming for Communication Systems—Part I: Power Control and Beamforming , 2018, IEEE Transactions on Signal Processing.

[25]  Gordon P. Wright,et al.  Technical Note - A General Inner Approximation Algorithm for Nonconvex Mathematical Programs , 1978, Oper. Res..

[26]  I. Stancu-Minasian Nonlinear Fractional Programming , 1997 .

[27]  Erik G. Larsson,et al.  Scaling Up MIMO: Opportunities and Challenges with Very Large Arrays , 2012, IEEE Signal Process. Mag..

[28]  Zhi-Quan Luo,et al.  Joint User Grouping and Transceiver Design in a MIMO Interfering Broadcast Channel , 2014, IEEE Transactions on Signal Processing.

[29]  Matti Latva-aho,et al.  Weighted Sum-Rate Maximization for MISO Downlink Cellular Networks via Branch and Bound , 2012, IEEE Transactions on Signal Processing.

[30]  Mérouane Debbah,et al.  Energy efficient design in MIMO multi-cell systems with time average QoS constraints , 2013, 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[31]  Gerhard Fettweis,et al.  Energy-efficient link adaptation on parallel channels , 2011, 2011 19th European Signal Processing Conference.

[32]  Zhu Han,et al.  Energy-Efficient Resource Allocation for Wireless Powered Massive MIMO System With Imperfect CSI , 2017, IEEE Transactions on Green Communications and Networking.

[33]  Stephen P. Boyd,et al.  CVXPY: A Python-Embedded Modeling Language for Convex Optimization , 2016, J. Mach. Learn. Res..

[34]  Advanced Antenna Systems for 5G Network Deployments , 2020 .

[35]  Tarcisio F. Maciel,et al.  A Stochastic Channel Model With Dual Mobility for 5G Massive Networks , 2019, IEEE Access.

[36]  Parismita Gogoi,et al.  On the evolution of downlink physical layer in multi-antenna 3GPP LTE / LTE-A: A review , 2015, 2015 International Symposium on Advanced Computing and Communication (ISACC).

[37]  Khaled Ben Letaief,et al.  Optimizing power and resource management for multiuser MIMO/OFDM systems , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[38]  Siegfried Schaible,et al.  Parameter-free convex equivalent and dual programs of fractional programming problems , 1974, Z. Oper. Research.

[39]  Matti Latva-aho,et al.  Decentralized Linear Transceiver Design and Signaling Strategies for Sum Power Minimization in Multi-Cell MIMO Systems , 2016, IEEE Transactions on Signal Processing.

[40]  Georgios B. Giannakis,et al.  Adaptive MIMO-OFDM based on partial channel state information , 2004, IEEE Transactions on Signal Processing.

[41]  Yuri C. B. Silva,et al.  Distributed Beamforming in Dynamic TDD MIMO Networks With BS to BS Interference Constraints , 2018, IEEE Wireless Communications Letters.

[42]  Zhengang Pan,et al.  Toward green and soft: a 5G perspective , 2014, IEEE Communications Magazine.

[43]  Yunfei Chen,et al.  Energy Efficiency for MISO-OFDMA-Based User-Relay Assisted Cellular Networks , 2020, IEEE Systems Journal.

[44]  Antti Tölli,et al.  Traffic Aware Resource Allocation Schemes for Multi-Cell MIMO-OFDM Systems , 2016, IEEE Transactions on Signal Processing.

[45]  Emil Björnson,et al.  Optimal Design of Energy-Efficient Multi-User MIMO Systems: Is Massive MIMO the Answer? , 2014, IEEE Transactions on Wireless Communications.

[46]  Tarcisio F. Maciel,et al.  Relay selection, subcarrier pairing and power allocation for energy efficiency and QoS guarantees , 2018, 2018 IEEE Wireless Communications and Networking Conference (WCNC).

[47]  Erik G. Larsson,et al.  On the Total Energy Efficiency of Cell-Free Massive MIMO , 2017, IEEE Transactions on Green Communications and Networking.

[48]  Li Zhang,et al.  Global optimization of weighted sum-rate for downlink heterogeneous cellular networks , 2016, 2016 23rd International Conference on Telecommunications (ICT).

[49]  Shigeru Shimamoto,et al.  Traffic-Aware Energy Optimizing Strategies for Multi-Cell Coordinated Green Cellular Networks , 2018, IEEE Transactions on Green Communications and Networking.

[50]  E. A. Nurminskii Convergence conditions for nonlinear programming algorithms , 1972 .

[51]  Preben E. Mogensen,et al.  Traffic models impact on OFDMA scheduling design , 2012, EURASIP J. Wirel. Commun. Netw..

[52]  Yang Li,et al.  Energy-efficient coordinated beamforming with individual data rate constraints , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[53]  Zhi-Quan Luo,et al.  An iteratively weighted MMSE approach to distributed sum-utility maximization for a MIMO interfering broadcast channel , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[54]  Power Control for SISO Interference Channel Networks Based on Successive Convex Approximation , 2020 .

[55]  Jonathan Rodriguez,et al.  Adaptive Resource Allocation for Energy-Efficient Millimeter-Wave Massive MIMO Networks , 2018, 2018 IEEE Global Communications Conference (GLOBECOM).