Distributed Precoding Using Local CSIT for MU-MIMO Heterogeneous Cellular Networks

Cell densification is a key driver to increase area spectral efficiencies in multi-antenna cellular systems. As increasing the densities of base stations (BSs) and users that share the same spectrum, however, both inter-user-interference (IUI) and inter-cell interference (ICI) problems give rise to a significant loss in spectral efficiencies in such systems. To resolve this problem under the constraint of local channel state information per BS, in this paper, we present a novel noncooperative multi-user multiple-input multiple-output (MIMO) precoding technique, called signal-to-interference-pulse-leakage-pulse-noise-ratio (SILNR) maximization precoding. The key innovation of our distributed precoding method is to maximize the product of SILNRs of users per cell using local channel state information at the transmitter (CSIT). We show that our precoding technique only using local CSIT can asymptotically achieve the multi-cell cooperative bound attained by cooperative precoding using global CSIT in some cases. We also present a precoding algorithm that is robust to CSIT errors in multi-cell scenarios. By multi-cell system-level simulations, we demonstrate that our distributed precoding technique outperforms all existing noncooperative precoding methods considerably and can also achieve the multi-cell bound very tightly even with not-so-many antennas at BSs.

[1]  Erik G. Larsson,et al.  Massive MIMO for next generation wireless systems , 2013, IEEE Communications Magazine.

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

[3]  Giuseppe Caire,et al.  Joint User Selection, Power Allocation, and Precoding Design With Imperfect CSIT for Multi-Cell MU-MIMO Downlink Systems , 2019, IEEE Transactions on Wireless Communications.

[4]  David Gesbert,et al.  A Coordinated Approach to Channel Estimation in Large-Scale Multiple-Antenna Systems , 2012, IEEE Journal on Selected Areas in Communications.

[5]  Michail Matthaiou,et al.  Massive MIMO for Ray-Based Channels , 2019, ICC 2019 - 2019 IEEE International Conference on Communications (ICC).

[6]  Emil Björnson,et al.  A New Look at Cell-Free Massive MIMO: Making It Practical With Dynamic Cooperation , 2019, 2019 IEEE 30th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC).

[7]  Giuseppe Caire,et al.  Spatial blanking and inter-tier coordination in massive-MIMO heterogeneous cellular networks , 2014, 2014 IEEE Globecom Workshops (GC Wkshps).

[8]  Robert W. Heath,et al.  Cooperative Base Station Coloring for Pair-Wise Multi-Cell Coordination , 2016, IEEE Transactions on Communications.

[9]  Mérouane Debbah,et al.  Massive MIMO and small cells: How to densify heterogeneous networks , 2013, 2013 IEEE International Conference on Communications (ICC).

[10]  Martin Haardt,et al.  Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels , 2004, IEEE Transactions on Signal Processing.

[11]  Jeffrey G. Andrews,et al.  Downlink MIMO HetNets: Modeling, Ordering Results and Performance Analysis , 2013, IEEE Transactions on Wireless Communications.

[12]  Emil Björnson,et al.  Designing multi-user MIMO for energy efficiency: When is massive MIMO the answer? , 2013, 2014 IEEE Wireless Communications and Networking Conference (WCNC).

[13]  Angela Doufexi,et al.  On the Equivalence Between SLNR and MMSE Precoding Schemes with Single-Antenna Receivers , 2012, IEEE Communications Letters.

[14]  Jeffrey G. Andrews,et al.  Downlink Multi-Antenna Heterogeneous Cellular Network With Load Balancing , 2013, IEEE Transactions on Communications.

[15]  Tony Q. S. Quek,et al.  Enhanced intercell interference coordination challenges in heterogeneous networks , 2011, IEEE Wireless Communications.

[16]  Thomas L. Marzetta,et al.  Pilot Contamination and Precoding in Multi-Cell TDD Systems , 2009, IEEE Transactions on Wireless Communications.

[17]  Robert W. Heath,et al.  Spectral Efficiency of Dynamic Coordinated Beamforming: A Stochastic Geometry Approach , 2015, IEEE Transactions on Wireless Communications.

[18]  Jeffrey G. Andrews,et al.  An overview of load balancing in hetnets: old myths and open problems , 2013, IEEE Wireless Communications.

[19]  Bo Rong,et al.  Scalable and Flexible Massive MIMO Precoding for 5G H-CRAN , 2017, IEEE Wireless Communications.

[20]  Ali H. Sayed,et al.  A Leakage-Based Precoding Scheme for Downlink Multi-User MIMO Channels , 2007, IEEE Transactions on Wireless Communications.

[21]  Giuseppe Caire,et al.  Joint User Scheduling, Power Allocation, and Precoding Design for Massive MIMO Systems: A Principal Component Analysis Approach , 2018, 2018 IEEE International Symposium on Information Theory (ISIT).

[22]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

[23]  Long Bao Le,et al.  Massive MIMO and mmWave for 5G Wireless HetNet: Potential Benefits and Challenges , 2016, IEEE Vehicular Technology Magazine.

[24]  Jeffrey G. Andrews,et al.  Heterogeneous cellular networks: From theory to practice , 2012, IEEE Communications Magazine.

[25]  Namyoon Lee,et al.  On the Design of Interference Alignment Scheme for Two-Cell MIMO Interfering Broadcast Channels , 2011, IEEE Transactions on Wireless Communications.

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

[27]  Mérouane Debbah,et al.  Massive MIMO: How many antennas do we need? , 2011, 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[28]  Giuseppe Caire,et al.  Performance Analysis of Massive MIMO for Cell-Boundary Users , 2013, IEEE Transactions on Wireless Communications.

[29]  Andrea J. Goldsmith,et al.  On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming , 2006, IEEE Journal on Selected Areas in Communications.

[30]  Andrea J. Goldsmith,et al.  MIMO capacity with channel uncertainty: does feedback help? , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[31]  Emil Björnson,et al.  Massive MIMO Has Unlimited Capacity , 2017, IEEE Transactions on Wireless Communications.

[32]  Namyoon Lee,et al.  Distributed Precoding Using Local CSIT for MU-MIMO Heterogeneous Cellular Networks , 2021, ICC 2021 - IEEE International Conference on Communications.

[33]  Giuseppe Caire,et al.  Joint Spatial Division and Multiplexing—The Large-Scale Array Regime , 2013, IEEE Transactions on Information Theory.

[34]  Mérouane Debbah,et al.  Massive MIMO in the UL/DL of Cellular Networks: How Many Antennas Do We Need? , 2013, IEEE Journal on Selected Areas in Communications.

[35]  Jeffrey G. Andrews,et al.  On the Optimal Feedback Rate in Interference-Limited Multi-Antenna Cellular Systems , 2016, IEEE Transactions on Wireless Communications.

[36]  Erik G. Larsson,et al.  A Multi-Cell MMSE Detector for Massive MIMO Systems and New Large System Analysis , 2014, GLOBECOM 2014.

[37]  Titus K. Y. Lo Maximum ratio transmission , 1999, IEEE Trans. Commun..

[38]  Muriel Médard,et al.  The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel , 2000, IEEE Trans. Inf. Theory.