Symbol Error Rate Minimization Precoding for Interference Exploitation

This paper investigates a new beamforming approach for interference exploitation, which has recently attracted interest as an alternative to conventional interference-avoidance beamforming for the downlink of multiple-input multiple-output systems. Contrary to existing interference exploitation approaches that focus on signal-to-noise ratio performance, we adopt an approach based on the detection region of the signal constellation. Focusing on quality of service, we then formulate the optimization for minimizing the error probability (EP) for the worst user, subject to power constraints. We do this by employing the knowledge of channel state information at the transmitter, along with all downlink users’ data that are readily available at the base station during downlink transmission. In this context, we also show that the detection-region-based beamforming and the worst user EP downlink beamforming are equivalent problems. Finally, we further propose a sum EPs approach and provide an analytic bound of average symbol error rate performance. Our simulations verify that the proposed techniques provide significantly improved performance over conventional downlink beamforming techniques.

[1]  Christos Masouros,et al.  Exploiting Known Interference as Green Signal Power for Downlink Beamforming Optimization , 2015, IEEE Transactions on Signal Processing.

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

[3]  Tharmalingam Ratnarajah,et al.  Maximizing Energy Efficiency in the Vector Precoded MU-MISO Downlink by Selective Perturbation , 2014, IEEE Transactions on Wireless Communications.

[4]  Christos Masouros,et al.  Constructive Interference Based Secure Precoding: A New Dimension in Physical Layer Security , 2016, IEEE Transactions on Information Forensics and Security.

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

[6]  Christos Masouros,et al.  Large Scale Antenna Selection and Precoding for Interference Exploitation , 2017, IEEE Transactions on Communications.

[7]  Robert F. H. Fischer,et al.  Precoding in multiantenna and multiuser communications , 2004, IEEE Transactions on Wireless Communications.

[8]  M. Sellathurai,et al.  Computationally Efficient Vector Perturbation Precoding Using Thresholded Optimization , 2013, IEEE Transactions on Communications.

[9]  A. Lee Swindlehurst,et al.  A vector-perturbation technique for near-capacity multiantenna multiuser communication-part I: channel inversion and regularization , 2005, IEEE Transactions on Communications.

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

[11]  Christos Masouros,et al.  Interference-Driven Antenna Selection for Massive Multiuser MIMO , 2016, IEEE Transactions on Vehicular Technology.

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

[13]  Yurii Nesterov,et al.  Introductory Lectures on Convex Optimization - A Basic Course , 2014, Applied Optimization.

[14]  Carl Tim Kelley,et al.  Iterative methods for optimization , 1999, Frontiers in applied mathematics.

[15]  Tao Hong,et al.  Dual-Beam Directional Modulation Technique for Physical-Layer Secure Communication , 2011, IEEE Antennas and Wireless Propagation Letters.

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

[17]  Symeon Chatzinotas,et al.  Constructive Interference through Symbol Level Precoding for Multi-Level Modulation , 2014, 2015 IEEE Global Communications Conference (GLOBECOM).

[18]  Shahram Shahbazpanahi,et al.  Robust Downlink Beamforming Based on Outage Probability Specifications , 2007, IEEE Transactions on Wireless Communications.

[19]  Erik G. Larsson,et al.  Per-Antenna Constant Envelope Precoding for Large Multi-User MIMO Systems , 2012, IEEE Transactions on Communications.

[20]  Khaled Ben Letaief,et al.  A joint-channel diagonalization for multiuser MIMO antenna systems , 2003, IEEE Trans. Wirel. Commun..

[21]  Shlomo Shamai,et al.  Capacity and lattice strategies for canceling known interference , 2005, IEEE Transactions on Information Theory.

[22]  Daniel Pérez Palomar,et al.  A Dual Perspective on Separable Semidefinite Programming With Applications to Optimal Downlink Beamforming , 2010, IEEE Transactions on Signal Processing.

[23]  Christos Masouros,et al.  Dynamic linear precoding for the exploitation of known interference in MIMO broadcast systems , 2009, IEEE Transactions on Wireless Communications.

[24]  Tharmalingam Ratnarajah,et al.  Known interference in the cellular downlink: a performance limiting factor or a source of green signal power? , 2013, IEEE Communications Magazine.

[25]  Tharmalingam Ratnarajah,et al.  Interference Optimization for Transmit Power Reduction in Tomlinson-Harashima Precoded MIMO Downlinks , 2012, IEEE Transactions on Signal Processing.

[26]  Erik Dahlman,et al.  4G: LTE/LTE-Advanced for Mobile Broadband , 2011 .

[27]  Xin Wen,et al.  General Rank Multiuser Downlink Beamforming With Shaping Constraints Using Real-Valued OSTBC , 2015, IEEE Transactions on Signal Processing.

[28]  Yonina C. Eldar,et al.  Robust Downlink Beamforming With Partial Channel State Information for Conventional and Cognitive Radio Networks , 2013, IEEE Transactions on Signal Processing.

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

[30]  Christos Masouros,et al.  An Efficient Manifold Algorithm for Constructive Interference Based Constant Envelope Precoding , 2017, IEEE Signal Processing Letters.

[31]  Timothy N. Davidson,et al.  Convex Conic Formulations of Robust Downlink Precoder Designs With Quality of Service Constraints , 2007, IEEE Journal of Selected Topics in Signal Processing.

[32]  Tharmalingam Ratnarajah,et al.  A Low-Complexity Sequential Encoder for Threshold Vector Perturbation , 2013, IEEE Communications Letters.

[33]  Christos Masouros,et al.  Power-Efficient Tomlinson-Harashima Precoding for the Downlink of Multi-User MISO Systems , 2014, IEEE Transactions on Communications.

[34]  Christos Masouros,et al.  Interference Exploitation in Full-Duplex Communications: Trading Interference Power for Both Uplink and Downlink Power Savings , 2017, IEEE Transactions on Wireless Communications.

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

[36]  Bjorn Ottersten,et al.  Handbook of Antennas in Wireless Communications , 2018 .

[37]  Mathini Sellathurai,et al.  Vector Perturbation Based on Symbol Scaling for Limited Feedback MISO Downlinks , 2014, IEEE Transactions on Signal Processing.

[38]  Tharmalingam Ratnarajah,et al.  Adaptively Regularized Phase Alignment Precoding for Multiuser Multiantenna Downlink , 2015, IEEE Transactions on Vehicular Technology.

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

[40]  Christos Masouros,et al.  Exploiting Constructive Mutual Coupling in P2P MIMO by Analog-Digital Phase Alignment , 2017, IEEE Transactions on Wireless Communications.

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

[42]  Christos Masouros,et al.  Soft Linear Precoding for the Downlink of DS/CDMA Communication Systems , 2010, IEEE Transactions on Vehicular Technology.

[43]  Yuan Ding,et al.  A Vector Approach for the Analysis and Synthesis of Directional Modulation Transmitters , 2014, IEEE Transactions on Antennas and Propagation.

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

[45]  Gerald Matz,et al.  Vector Perturbation Precoding Revisited , 2011, IEEE Transactions on Signal Processing.

[46]  Andreas F. Molisch,et al.  Wireless Communications , 2005 .

[47]  Mats Bengtsson,et al.  Convex Optimization-based Beamforming : From Receive to Transmit and Network Designs , 2010 .

[48]  G.S. Smith,et al.  A direct derivation of a single-antenna reciprocity relation for the time domain , 2004, IEEE Transactions on Antennas and Propagation.

[49]  Cheng-Shang Chang Calculus , 2020, Bicycle or Unicycle?.

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

[51]  Christos Masouros,et al.  Constant Envelope Precoding by Interference Exploitation in Phase Shift Keying-Modulated Multiuser Transmission , 2017, IEEE Transactions on Wireless Communications.

[52]  Christos Masouros,et al.  Constructive interference exploitation for downlink beamforming based on noise robustness and outage probability , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[53]  Christos Masouros,et al.  Adaptive code allocation for interference management on the downlink of DS-CDMA systems , 2008, IEEE Transactions on Wireless Communications.

[54]  Symeon Chatzinotas,et al.  Constructive Multiuser Interference in Symbol Level Precoding for the MISO Downlink Channel , 2014, IEEE Transactions on Signal Processing.

[55]  Christos Masouros,et al.  Correlation Rotation Linear Precoding for MIMO Broadcast Communications , 2011, IEEE Transactions on Signal Processing.

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

[57]  Christos Masouros,et al.  Rethinking the role of interference in wireless networks , 2014, IEEE Communications Magazine.

[58]  Jinho Choi Downlink Multiuser Beamforming With Compensation of Channel Reciprocity From RF Impairments , 2015, IEEE Transactions on Communications.

[59]  M. Daly,et al.  Directional Modulation Technique for Phased Arrays , 2009, IEEE Transactions on Antennas and Propagation.

[60]  Tharmalingam Ratnarajah,et al.  Interference as a Source of Green Signal Power in Cognitive Relay Assisted Co-Existing MIMO Wireless Transmissions , 2012, IEEE Transactions on Communications.