Multi-User Downlink Communication

Simultaneous wireless transmission from a single multi-antenna transmitter, e.g., a base station or a satellite, to K receivers—the users—is a standard model for terrestrial and satellite communication (SatCom) (Tse and Viswanath, Fundamentals of wireless communications. Cambridge University Press, New York, NY, 2008; Arapoglou et al., IEEE Commun Surv Tutorials 13:27, 2011). This multi-user downlink model is also known as a broadcast channel (BC) (e.g., see Tse and Viswanath (Fundamentals of wireless communications. Cambridge University Press, New York, NY, 2008)). The transmitter forms its transmit signal from independent data that are simultaneously conveyed to the users (Cover and Thomas, Elements of information theory. Wiley, Hoboken, NJ, 2006). Therefore, a terminal’s received signal not only includes the intended data signal, but also interfering signals that are destined to other terminals.

[1]  Luis Castedo,et al.  On MSE Balancing in the MIMO Broadcast Channel with Unequal Targets , 2016, WSA.

[2]  Anthony Man-Cho So,et al.  Multi-group multicast beamforming in cognitive radio networks via rank-two transmit beamformed Alamouti space-time coding , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[3]  Hyundong Shin,et al.  On the capacity of doubly correlated MIMO channels , 2005, IEEE Transactions on Wireless Communications.

[4]  Roy D. Yates,et al.  A Framework for Uplink Power Control in Cellular Radio Systems , 1995, IEEE J. Sel. Areas Commun..

[5]  Holger Boche,et al.  A superlinearly and globally convergent algorithm for power control and resource allocation with general interference functions , 2008, TNET.

[6]  Holger Boche,et al.  Downlink MMSE Transceiver Optimization for Multiuser MIMO Systems: Duality and Sum-MSE Minimization , 2007, IEEE Transactions on Signal Processing.

[7]  Nikos D. Sidiropoulos,et al.  Quality of Service and Max-Min Fair Transmit Beamforming to Multiple Cochannel Multicast Groups , 2008, IEEE Transactions on Signal Processing.

[8]  Daniel Pérez Palomar,et al.  Rank-Constrained Separable Semidefinite Programming With Applications to Optimal Beamforming , 2010, IEEE Transactions on Signal Processing.

[9]  John M. Cioffi,et al.  Weighted sum-rate maximization using weighted MMSE for MIMO-BC beamforming design , 2008, IEEE Trans. Wirel. Commun..

[10]  Holger Boche,et al.  Accepted for Publication in Ieee Transactions on Signal Processing 1 Robust Qos-constrained Optimization of Downlink Multiuser Miso Systems , 2022 .

[11]  Erik G. Larsson,et al.  Parameterization of the MISO IFC rate region: the case of partial channel state information , 2010, IEEE Transactions on Wireless Communications.

[12]  Ulrich Krause,et al.  A limit set trichotomy for monotone nonlinear dynamical systems , 1992 .

[13]  M. B. Shenouda,et al.  Probabilistically-constrained approaches to the design of the multiple antenna downlink , 2008, 2008 42nd Asilomar Conference on Signals, Systems and Computers.

[14]  Pantelis-Daniel M. Arapoglou,et al.  The Land Mobile Earth-Space Channel , 2011, IEEE Vehicular Technology Magazine.

[15]  Tony Q. S. Quek,et al.  A Unified Analysis of Max-Min Weighted SINR for MIMO Downlink System , 2011, IEEE Transactions on Signal Processing.

[16]  Arkadi Nemirovski,et al.  Lectures on modern convex optimization - analysis, algorithms, and engineering applications , 2001, MPS-SIAM series on optimization.

[17]  Nikos D. Sidiropoulos,et al.  Convex Optimization-Based Beamforming , 2010, IEEE Signal Processing Magazine.

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

[19]  Christoph Hellings,et al.  QoS feasibility for the MIMO broadcast channel: Robust formulation and multi-carrier systems , 2010, 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks.

[20]  Zhi-Quan Luo,et al.  A stochastic weighted MMSE approach to sum rate maximization for a MIMO interference channel , 2013, 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[21]  Robert Schober,et al.  Cooperative Beamforming for Single-Carrier Frequency-Domain Equalization Systems with Multiple Relays , 2012, IEEE Transactions on Wireless Communications.

[22]  Holger Boche,et al.  Iterative multiuser uplink and downlink beamforming under SINR constraints , 2005, IEEE Transactions on Signal Processing.

[23]  Wolfgang Utschick,et al.  Rate-balancing in massive MIMO using statistical precoding , 2015, 2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[24]  Soung Chang Liew,et al.  Wireless MIMO Switching: Weighted Sum Mean Square Error and Sum Rate Optimization , 2013, IEEE Trans. Inf. Theory.

[25]  Wolfgang Utschick,et al.  Ergodic robust rate balancing for rank-one vector broadcast channels via sequential approximations , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[26]  Wolfgang Utschick,et al.  Robust Tomlinson–Harashima Precoding for the Wireless Broadcast Channel , 2007, IEEE Transactions on Signal Processing.

[27]  Yongming Huang,et al.  A Multi-Cell Beamforming Design by Uplink-Downlink Max-Min SINR Duality , 2012, IEEE Transactions on Wireless Communications.

[28]  Bjorn Ottersten,et al.  Optimal Downlink Beamforming Using Semidefinite Optimization , 2014 .

[29]  S. Verdú,et al.  Capacity of MIMO channels with one-sided correlation , 2004, Eighth IEEE International Symposium on Spread Spectrum Techniques and Applications - Programme and Book of Abstracts (IEEE Cat. No.04TH8738).

[30]  M. Botros Shenouda,et al.  Quasi-convex designs of max-min linear BC precoding with outage QoS constraints , 2009, 2009 6th International Symposium on Wireless Communication Systems.

[31]  Jean-Paul Penot,et al.  Surrogate Programming and Multipliers in Quasi-convex Programming , 2003, SIAM J. Control. Optim..

[32]  Weidong Yang,et al.  Optimal downlink power assignment for smart antenna systems , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[33]  Luc Vandendorpe,et al.  Robust Sum MSE Optimization for Downlink Multiuser MIMO Systems With Arbitrary Power Constraint: Generalized Duality Approach , 2012, IEEE Transactions on Signal Processing.

[34]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[35]  Henry Wolkowicz,et al.  Handbook of Semidefinite Programming , 2000 .

[36]  Daniel Pérez Palomar,et al.  Power Control By Geometric Programming , 2007, IEEE Transactions on Wireless Communications.

[37]  Michael Joham,et al.  MSE Balancing in the MIMO BC: Unequal Targets and Probabilistic Interference Constraints , 2017, IEEE Transactions on Signal Processing.

[38]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[39]  Pei-Jung Chung,et al.  A Probabilistic Approach for Robust Leakage-Based MU-MIMO Downlink Beamforming with Imperfect Channel State Information , 2012, IEEE Transactions on Wireless Communications.

[40]  Steven D. Blostein,et al.  MIMO Minimum Total MSE Transceiver Design With Imperfect CSI at Both Ends , 2009, IEEE Transactions on Signal Processing.

[41]  Xiao Lei,et al.  Adaptive beamforming in mobile, massively multiuser satellite communications: A system perspective , 2014, 2014 7th Advanced Satellite Multimedia Systems Conference and the 13th Signal Processing for Space Communications Workshop (ASMS/SPSC).

[42]  Andrea J. Goldsmith,et al.  Capacity limits of MIMO channels , 2003, IEEE J. Sel. Areas Commun..

[43]  Wing-Kin Ma,et al.  Low-Complexity Robust MISO Downlink Precoder Design Under Imperfect CSI , 2016, IEEE Transactions on Signal Processing.

[44]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.

[45]  Björn E. Ottersten,et al.  Robust precoding design for multibeam downlink satellite channel with phase uncertainty , 2015, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[46]  Andrea J. Goldsmith,et al.  Capacity and optimal resource allocation for fading broadcast channels - Part I: Ergodic capacity , 2001, IEEE Trans. Inf. Theory.

[47]  Wolfgang Utschick,et al.  Linear precoding based on a stochastic MSE criterion , 2005, 2005 13th European Signal Processing Conference.

[48]  Zhi-Quan Luo,et al.  Semidefinite Relaxation of Quadratic Optimization Problems , 2010, IEEE Signal Processing Magazine.

[49]  M. Hirsch,et al.  Chapter 4 Monotone Dynamical Systems , 2006 .

[50]  Nikola Vucic,et al.  Fixed point iteration for max-min sir balancing with general interference functions , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[51]  Chong-Yung Chi,et al.  A semidefinite relaxation based conservative approach to robust transmit beamforming with probabilistic sinr constraints , 2010, 2010 18th European Signal Processing Conference.

[52]  J. Nicholas Laneman,et al.  On Downlink Transmission Without Transmit Channel State Information and With Outage Constraints , 2009, IEEE Transactions on Information Theory.

[53]  Nihar Jindal,et al.  MIMO broadcast channels with finite rate feedback , 2006, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[54]  Sergiy A. Vorobyov,et al.  On the Relationship Between Robust Minimum Variance Beamformers With Probabilistic and Worst-Case Distortionless Response Constraints , 2008, IEEE Transactions on Signal Processing.

[55]  I. Bechar,et al.  A Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables , 2009, 0909.3595.

[56]  Riccardo De Gaudenzi,et al.  MIMO over Satellite: A Review , 2011, IEEE Communications Surveys & Tutorials.

[57]  Wolfgang Utschick,et al.  Multi-stream MIMO MSE balancing with generalized power constraints , 2016, 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[58]  E.G. Larsson,et al.  Pareto-optimal beamforming for the MISO interference channel with partial CSI , 2009, 2009 3rd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[59]  Carlos Mosquera,et al.  Joint Linear Precoding and Beamforming for the Forward Link of Multi-Beam Broadband Satellite Systems , 2011, 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011.

[60]  Shlomo Shamai,et al.  Mutual information and minimum mean-square error in Gaussian channels , 2004, IEEE Transactions on Information Theory.

[61]  Faiz A. Al-Khayyal,et al.  Monotonic Optimization: Branch and Cut Methods , 2005 .

[62]  Holger Boche,et al.  The Structure of General Interference Functions and Applications , 2008, IEEE Transactions on Information Theory.

[63]  Wolfgang Utschick,et al.  Stochastic transceiver design in multi-antenna channels with statistical channel state information , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[64]  Jens Zander,et al.  Distributed cochannel interference control in cellular radio systems , 1992 .

[65]  Tony Q. S. Quek,et al.  Max-min weighted SINR in coordinated multicell MIMO downlink , 2011, 2011 International Symposium of Modeling and Optimization of Mobile, Ad Hoc, and Wireless Networks.

[66]  Holger Boche,et al.  Capacity Balancing for Multiuser MIMO Systems , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[67]  Stephen P. Boyd,et al.  A tutorial on geometric programming , 2007, Optimization and Engineering.

[68]  A. Gershman,et al.  Robust adaptive beamforming using probability-constrained optimization , 2005, IEEE/SP 13th Workshop on Statistical Signal Processing, 2005.

[69]  Andrea J. Goldsmith,et al.  Capacity and power allocation for fading MIMO channels with channel estimation error , 2006, IEEE Trans. Inf. Theory.

[70]  Stephen P. Boyd,et al.  Optimal power control in interference-limited fading wireless channels with outage-probability specifications , 2002, IEEE Trans. Wirel. Commun..

[71]  Chong-Yung Chi,et al.  Outage Constrained Robust Transmit Optimization for Multiuser MISO Downlinks: Tractable Approximations by Conic Optimization , 2011, IEEE Transactions on Signal Processing.

[72]  Nizar Zorba,et al.  Robust Multibeam Opportunistic Schemes Under Quality of Service Constraints , 2007, 2007 IEEE International Conference on Communications.

[73]  Stephen P. Boyd,et al.  Semidefinite Programming , 1996, SIAM Rev..

[74]  Holger Boche,et al.  A Generic Approach to QoS-Based Transceiver Optimization , 2007, IEEE Transactions on Communications.

[75]  Leandros Tassiulas,et al.  Transmit beamforming and power control for cellular wireless systems , 1998, IEEE J. Sel. Areas Commun..

[76]  Gerd Ascheid,et al.  On the Duality of the Max–Min Beamforming Problem With Per-Antenna and Per-Antenna-Array Power Constraints , 2013, IEEE Transactions on Vehicular Technology.

[77]  Mohamed-Slim Alouini,et al.  Capacity of correlated MIMO Rayleigh channels , 2006, IEEE Transactions on Wireless Communications.

[78]  Raphael Hunger Analysis and Transceiver Design for the MIMO Broadcast Channel , 2012 .

[79]  Antti Tölli,et al.  Efficient Solutions for Weighted Sum Rate Maximization in Multicellular Networks With Channel Uncertainties , 2013, IEEE Transactions on Signal Processing.

[80]  Symeon Chatzinotas,et al.  Linear and nonlinear techniques for multibeam joint processing in satellite communications , 2012, EURASIP J. Wirel. Commun. Netw..

[81]  Ami Wiesel,et al.  Linear precoding via conic optimization for fixed MIMO receivers , 2006, IEEE Transactions on Signal Processing.

[82]  Ami Wiesel,et al.  Zero-Forcing Precoding and Generalized Inverses , 2008, IEEE Transactions on Signal Processing.

[83]  Wolfgang Utschick,et al.  Design of beamforming in the satellite downlink with static and mobile users , 2011, 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[84]  Kim-Chuan Toh,et al.  SDPT3 -- A Matlab Software Package for Semidefinite Programming , 1996 .

[85]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[86]  Aydin Sezgin,et al.  Guaranteed Performance Region in Fading Orthogonal Space-Time Coded Broadcast Channels , 2007, 2007 IEEE International Symposium on Information Theory.

[87]  Wolfgang Utschick,et al.  On the MSE-Duality of the Broadcast Channel and the Multiple Access Channel , 2009, IEEE Transactions on Signal Processing.

[88]  David Tse,et al.  Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality , 2003, IEEE Trans. Inf. Theory.

[89]  Erik G. Larsson,et al.  Analytic Framework for the Effective Rate of MISO Fading Channels , 2012, IEEE Transactions on Communications.

[90]  Michael Joham,et al.  A Complete Description of the QoS Feasibility Region in the Vector Broadcast Channel , 2010, IEEE Transactions on Signal Processing.

[91]  Marian Codreanu,et al.  Linear Multiuser MIMO Transceiver Design With Quality of Service and Per-Antenna Power Constraints , 2008, IEEE Transactions on Signal Processing.

[92]  Leandros Tassiulas,et al.  Joint optimal power control and beamforming in wireless networks using antenna arrays , 1998, IEEE Trans. Commun..

[93]  M. Trivellato,et al.  Multiuser eigenmode transmission for mimo broadcast channels with limited feedback , 2007, 2007 IEEE 8th Workshop on Signal Processing Advances in Wireless Communications.

[94]  Wolfgang Utschick,et al.  Optimal power allocation for the chance-constrained vector broadcast channel and rank-one channel approximation , 2013, 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[95]  Hamid Reza Feyzmahdavian,et al.  Contractive Interference Functions and Rates of Convergence of Distributed Power Control Laws , 2012, IEEE Transactions on Wireless Communications.

[96]  Holger Boche,et al.  Rate balancing for the multi-antenna Gaussian broadcast channel , 2002, IEEE Seventh International Symposium on Spread Spectrum Techniques and Applications,.

[97]  Chong-Yung Chi,et al.  Probabilistic SINR constrained robust transmit beamforming: A Bernstein-type inequality based conservative approach , 2010, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[98]  Wolfgang Utschick,et al.  Stochastic transceiver design in point-to-point MIMO channels with imperfect CSI , 2011, 2011 International ITG Workshop on Smart Antennas.

[99]  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).

[100]  Aris L. Moustakas,et al.  On the Outage Capacity of Correlated Multiple-Path MIMO Channels , 2005, IEEE Transactions on Information Theory.

[101]  Zhi-Quan Luo,et al.  Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem , 2003, IEEE Trans. Signal Process..

[102]  Wei Yu,et al.  An introduction to convex optimization for communications and signal processing , 2006, IEEE Journal on Selected Areas in Communications.

[103]  Wolfgang Utschick,et al.  Robust Precoding With Limited Feedback Design Based on Precoding MSE for MU-MISO Systems , 2012, IEEE Transactions on Signal Processing.

[104]  Daniel Pérez Palomar,et al.  Lorentz-Positive Maps and Quadratic Matrix Inequalities With Applications to Robust MISO Transmit Beamforming , 2013, IEEE Transactions on Signal Processing.

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

[106]  Holger Boche,et al.  A Tractable Method for Chance-Constrained Power Control in Downlink Multiuser MISO Systems With Channel Uncertainty , 2009, IEEE Signal Processing Letters.

[107]  Wei Yu,et al.  Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints , 2007, IEEE Transactions on Signal Processing.

[108]  George V. Tsoulos,et al.  Ergodic Capacity Optimization for Single-Stream Beamforming Transmission in MISO Rician Fading Channels , 2013, IEEE Transactions on Vehicular Technology.

[109]  Norman C. Beaulieu,et al.  A closed-form expression for the outage probability of decode-and-forward relaying in dissimilar Rayleigh fading channels , 2006, IEEE Communications Letters.

[110]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, IEEE Trans. Signal Process..

[111]  Erik G. Larsson,et al.  Competition Versus Cooperation on the MISO Interference Channel , 2008, IEEE Journal on Selected Areas in Communications.

[112]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[113]  Frank Dietrich,et al.  Robust Signal Processing for Wireless Communications , 2007 .

[114]  R. Saigal,et al.  Handbook of semidefinite programming : theory, algorithms, and applications , 2000 .

[115]  Wolfgang Utschick,et al.  MIMO BC/MAC MSE duality with imperfect transmitter and perfect receiver CSI , 2010, 2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[116]  Laura Cottatellucci,et al.  Interference mitigation techniques for broadband satellite system , 2006 .

[117]  David G. Luenberger,et al.  Quasi-Convex Programming , 1968 .

[118]  Holger Boche,et al.  Solution of the multiuser downlink beamforming problem with individual SINR constraints , 2004, IEEE Transactions on Vehicular Technology.

[119]  Jens Zander,et al.  Performance of optimum transmitter power control in cellular radio systems , 1992 .

[120]  Holger Boche,et al.  QoS-Based Resource Allocation and Transceiver Optimization , 2005, Found. Trends Commun. Inf. Theory.

[121]  Syed Ali Jafar,et al.  The Optimality of Transmit Beamforming: A Unified View , 2007, IEEE Transactions on Information Theory.

[122]  Giuseppe Caire,et al.  Joint Beamforming and Scheduling for a Multi-Antenna Downlink with Imperfect Transmitter Channel Knowledge , 2007, IEEE Journal on Selected Areas in Communications.

[123]  Alexander M. Haimovich,et al.  Non-convex utility maximization in Gaussian MISO broadcast and interference channels , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[124]  Xin He,et al.  Probabilistic QoS Constrained Robust Downlink Multiuser MIMO Transceiver Design with Arbitrarily Distributed Channel Uncertainty , 2013, IEEE Transactions on Wireless Communications.

[125]  Carlos Mosquera,et al.  Performance study of multiuser interference mitigation schemes for hybrid broadband multibeam satellite architectures , 2012, EURASIP J. Wirel. Commun. Netw..

[126]  Michael Joham,et al.  Feasible rate region of the MIMO broadcast channel with linear transceivers , 2010, 2010 International ITG Workshop on Smart Antennas (WSA).

[127]  Emil Björnson,et al.  Robust Monotonic Optimization Framework for Multicell MISO Systems , 2011, IEEE Transactions on Signal Processing.

[128]  Symeon Chatzinotas,et al.  Generic Optimization of Linear Precoding in Multibeam Satellite Systems , 2011, IEEE Transactions on Wireless Communications.

[129]  Zhi-Quan Luo,et al.  Robust adaptive beamforming for general-rank signal models , 2003, IEEE Trans. Signal Process..

[130]  Wolfgang Utschick,et al.  Mean square error beamforming in SatCom: Uplink-downlink duality with per-feed constraints , 2014, 2014 11th International Symposium on Wireless Communications Systems (ISWCS).

[131]  Symeon Chatzinotas,et al.  Multicast multigroup beamforming under per-antenna power constraints , 2014, 2014 IEEE International Conference on Communications (ICC).

[132]  J. Imhof Computing the distribution of quadratic forms in normal variables , 1961 .

[133]  Vincent K. N. Lau,et al.  Precoder Design for Multi-Antenna Partial Decode-and-Forward (PDF) Cooperative Systems with Statistical CSIT and MMSE-SIC Receivers , 2012, IEEE Transactions on Wireless Communications.

[134]  Fred Glover,et al.  Surrogate Constraint Duality in Mathematical Programming , 1975, Oper. Res..

[135]  Z. Luo,et al.  Robust Adaptive Beamforming Based on Worst‐Case Performance Optimization , 2005 .

[136]  David Tse,et al.  Downlink-uplink duality and effective bandwidths , 2002, Proceedings IEEE International Symposium on Information Theory,.