On the Energy Efficiency of Limited-Backhaul Cell-Free Massive MIMO

We investigate the energy efficiency performance of cell-free Massive multiple-input multiple-output (MIMO), where the access points (APs) are connected to a central processing unit (CPU) via limited-capacity links. Thanks to the distributed maximum ratio combining (MRC) weighting at the APs, we propose that only the quantized version of the weighted signals are sent back to the CPU. Considering the effects of channel estimation errors and using the Bussgang theorem to model the quantization errors, an energy efficiency maximization problem is formulated with per-user power and backhaul capacity constraints as well as with throughput requirement constraints. To handle this non-convex optimization problem, we decompose the original problem into two sub-problems and exploit a successive convex approximation (SCA) to solve original energy efficiency maximization problem. Numerical results confirm the superiority of the proposed optimization scheme.

[1]  Albrecht J. Fehske,et al.  Bit per Joule efficiency of cooperating base stations in cellular networks , 2010, 2010 IEEE Globecom Workshops.

[2]  Erik G. Larsson,et al.  On the Performance of Backhaul Constrained Cell-Free Massive MIMO with Linear Receivers , 2018, 2018 52nd Asilomar Conference on Signals, Systems, and Computers.

[3]  Muhammad Ali Imran,et al.  On the Energy Efficiency-Spectral Efficiency Trade-Off of Distributed MIMO Systems , 2013, IEEE Transactions on Communications.

[4]  Suhas N. Diggavi,et al.  The worst additive noise under a covariance constraint , 2001, IEEE Trans. Inf. Theory.

[5]  Alister G. Burr,et al.  NOMA/OMA Mode Selection-Based Cell-Free Massive MIMO , 2019, ICC 2019 - 2019 IEEE International Conference on Communications (ICC).

[6]  Alister G. Burr,et al.  Mixed Quality of Service in Cell-Free Massive MIMO , 2018, IEEE Communications Letters.

[7]  K. Cumanan,et al.  SINR Balancing Technique and its Comparison to Semidefinite Programming Based QoS Provision for Cognitive Radios , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[8]  Alister G. Burr,et al.  Evaluation of Low Complexity Massive MIMO Techniques Under Realistic Channel Conditions , 2019, IEEE Transactions on Vehicular Technology.

[9]  Yongming Huang,et al.  Energy Efficient Coordinated Beamforming for Multicell System: Duality-Based Algorithm Design and Massive MIMO Transition , 2015, IEEE Transactions on Communications.

[10]  Erik G. Larsson,et al.  Energy Efficiency of the Cell-Free Massive MIMO Uplink With Optimal Uniform Quantization , 2019, IEEE Transactions on Green Communications and Networking.

[11]  Leila Musavian,et al.  SINR Balancing Technique for Downlink Beamforming in Cognitive Radio Networks , 2010, IEEE Signal Processing Letters.

[12]  A. W. M. van den Enden,et al.  Discrete Time Signal Processing , 1989 .

[13]  Erik G. Larsson,et al.  Cell-Free Massive MIMO Versus Small Cells , 2016, IEEE Transactions on Wireless Communications.

[14]  Laetitia Falconetti,et al.  Towards energy efficiency with uplink cooperation in heterogeneous networks , 2014, 2014 IEEE Wireless Communications and Networking Conference (WCNC).

[15]  Alister G. Burr,et al.  Enhanced Max-Min SINR for Uplink Cell-Free Massive MIMO Systems , 2018, 2018 IEEE International Conference on Communications (ICC).

[16]  Alister G. Burr,et al.  Cooperative Access Networks: Optimum Fronthaul Quantization in Distributed Massive MIMO and Cloud RAN - Invited Paper , 2018, 2018 IEEE 87th Vehicular Technology Conference (VTC Spring).

[17]  Alister G. Burr,et al.  Cell-Free Massive MIMO with Limited Backhaul , 2018, 2018 IEEE International Conference on Communications (ICC).

[18]  Alister G. Burr,et al.  Max–Min Rate of Cell-Free Massive MIMO Uplink With Optimal Uniform Quantization , 2019, IEEE Transactions on Communications.

[19]  Leila Musavian,et al.  Joint Beamforming and User Maximization Techniques for Cognitive Radio Networks Based on Branch and Bound Method , 2010, IEEE Transactions on Wireless Communications.

[20]  Josef A. Nossek,et al.  Weighted Sum Rate Maximization for Multi-User MISO Systems with Low Resolution Digital to Analog Converters , 2016, WSA.

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

[22]  Peter Zillmann,et al.  Relationship Between Two Distortion Measures for Memoryless Nonlinear Systems , 2010, IEEE Signal Processing Letters.

[23]  Alister G. Burr,et al.  A Study of Dynamic Multipath Clusters at 60 GHz in a Large Indoor Environment , 2018, 2018 IEEE Globecom Workshops (GC Wkshps).

[24]  Manijeh Bashar Cell-Free Massive MIMO and Millimeter Wave Channel Modelling for 5G and Beyond , 2019 .

[25]  Alister G. Burr,et al.  On the Uplink Throughput of Zero Forcing in Cell-Free Massive MIMO With Coarse Quantization , 2018, IEEE Transactions on Vehicular Technology.

[26]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[27]  Alister G. Burr,et al.  Robust Geometry-Based User Scheduling for Large MIMO Systems Under Realistic Channel Conditions , 2017, ArXiv.

[28]  Alister G. Burr,et al.  Ultra-dense Radio Access Networks for Smart Cities: Cloud-RAN, Fog-RAN and "cell-free" Massive MIMO , 2018, ArXiv.

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

[30]  Zhiguo Ding,et al.  MMSE-Based Beamforming Techniques for Relay Broadcast Channels , 2013, IEEE Transactions on Vehicular Technology.

[31]  K. Cumanan,et al.  Rate Balancing Based Linear Transceiver Design for Multiuser MIMO System with Multiple Linear Transmit Covariance Constraints , 2011, 2011 IEEE International Conference on Communications (ICC).

[32]  Matti Latva-aho,et al.  Resource Allocation for Cross-Layer Utility Maximization in Wireless Networks , 2011, IEEE Transactions on Vehicular Technology.

[33]  Alister G. Burr,et al.  On the Uplink Max–Min SINR of Cell-Free Massive MIMO Systems , 2019, IEEE Transactions on Wireless Communications.