Convex Optimization-based Beamforming : From Receive to Transmit and Network Designs

n this article, an overview of advanced convex optimization approaches to multisensor beamforming is presented, and connections are drawn between different types of optimization-based beamformers that apply to a broad class of receive, transmit, and network beamformer design problems. It is demonstrated that convex optimization provides an indispensable set of tools for beamforming, enabling rigorous formulation and effective solution of both long-standing and emerging design problems.

[1]  Yue Rong,et al.  Robust linear receivers for multiaccess space-time block-coded MIMO systems: a probabilistically constrained approach , 2006, IEEE Journal on Selected Areas in Communications.

[2]  Shahram Shahbazpanahi,et al.  Filter-and-Forward Distributed Beamforming in Relay Networks With Frequency Selective Fading , 2010, IEEE Transactions on Signal Processing.

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

[4]  Michael Gastpar,et al.  On the capacity of large Gaussian relay networks , 2005, IEEE Transactions on Information Theory.

[5]  Yue Rong,et al.  Robust linear receivers for space-time block coded multiaccess MIMO systems with imperfect channel state information , 2005, IEEE Transactions on Signal Processing.

[6]  Björn E. Ottersten,et al.  System evaluation of optimal downlink beamforming with congestion control in wireless communication , 2006, IEEE Transactions on Wireless Communications.

[7]  Timothy N. Davidson,et al.  Nonlinear and Linear Broadcasting With QoS Requirements: Tractable Approaches for Bounded Channel Uncertainties , 2007, IEEE Transactions on Signal Processing.

[8]  Long Term Evolution ( LTE ) : A Technical Overview , 2022 .

[9]  Yindi Jing,et al.  Network Beamforming Using Relays With Perfect Channel Information , 2007, IEEE Transactions on Information Theory.

[10]  Amr El-Keyi,et al.  Robust broadband adaptive beamforming using convex optimization , 2009, Convex Optimization in Signal Processing and Communications.

[11]  Shahram Shahbazpanahi A semi-closed-form solution to optimal decentralized beamforming for two-way relay networks , 2009, 2009 3rd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[12]  Ying-Chang Liang,et al.  Optimal Analogue Relaying with Multi-Antennas for Physical Layer Network coding , 2008, 2008 IEEE International Conference on Communications.

[13]  Shahram Shahbazpanahi,et al.  Optimal network beamforming for bi-directional relay networks , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[14]  Josef A. Nossek,et al.  Spatial covariance based downlink beamforming in an SDMA mobile radio system , 1998, IEEE Trans. Commun..

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

[16]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[17]  Shahram Shahbazpanahi,et al.  Joint subcarrier power loading and distributed beamforming in OFDM-based asynchronous relay networks , 2009, 2009 3rd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[18]  Björn E. Ottersten,et al.  On downlink beamforming with indefinite shaping constraints , 2006, IEEE Transactions on Signal Processing.

[19]  Shahram Shahbazpanahi,et al.  Distributed peer-to-peer beamforming for multiuser relay networks , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[20]  Stephen P. Boyd,et al.  Robust Beamforming via Worst-Case SINR Maximization , 2008, IEEE Transactions on Signal Processing.

[21]  Ali H. Sayed,et al.  Power Allocation for Beamforming Relay Networks under Channel Uncertainties , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

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

[23]  Nikos D. Sidiropoulos,et al.  Transmit beamforming for physical-layer multicasting , 2006, IEEE Transactions on Signal Processing.

[24]  Zhi-Quan Luo,et al.  Nonconvex Quadratic Optimization , Semidefinite Relaxation , and Applications , 2009 .

[25]  Timothy N. Davidson,et al.  On the Design of Linear Transceivers for Multiuser Systems with Channel Uncertainty , 2008, IEEE Journal on Selected Areas in Communications.

[26]  Stephen P. Boyd,et al.  Robust minimum variance beamforming , 2005, IEEE Transactions on Signal Processing.

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

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

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

[30]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[31]  Nikos D. Sidiropoulos,et al.  Convex Transmit Beamforming for Downlink Multicasting to Multiple Co-Channel Groups , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[32]  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.

[33]  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.

[34]  Shahram Shahbazpanahi,et al.  Filter-and-forward distributed beamforming for relay networks in frequency selective fading channels , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[35]  Mats Bengtsson,et al.  Jointly optimal downlink beamforming and base station assignment , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[36]  Yonina C. Eldar,et al.  Robust downlink beamforming using covariance channel state information , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[37]  Saeed Gazor,et al.  Multiple Peer-to-Peer Communications Using a Network of Relays , 2009, IEEE Transactions on Signal Processing.

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

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

[40]  Nikos D. Sidiropoulos,et al.  Multiple-Antenna Multicasting Using Channel Orthogonalization and Local Refinement , 2010, IEEE Transactions on Signal Processing.

[41]  Leandros Tassiulas,et al.  On multicast beamforming for minimum outage , 2009, IEEE Transactions on Wireless Communications.

[42]  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.

[43]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

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

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

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

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

[48]  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..

[49]  B. Ottersten,et al.  Signal waveform estimation from array data in angular spread environment , 1996, Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers.

[50]  Leandros Tassiulas,et al.  Efficient Batch and Adaptive Approximation Algorithms for Joint Multicast Beamforming and Admission Control , 2009, IEEE Transactions on Signal Processing.

[51]  Shuzhong Zhang,et al.  Complex Matrix Decomposition and Quadratic Programming , 2007, Math. Oper. Res..

[52]  A. El-Keyi,et al.  Wideband robust beamforming based on worst-case performance optimization , 2005, IEEE/SP 13th Workshop on Statistical Signal Processing, 2005.

[53]  Ning Ma,et al.  Adaptive beamforming with joint robustness against mismatched signal steering vector and interference nonstationarity , 2004, IEEE Signal Processing Letters.

[54]  Zhi-Quan Luo,et al.  Approximation Bounds for Semidefinite Relaxation of Max-Min-Fair Multicast Transmit Beamforming Problem , 2008, IEEE Transactions on Signal Processing.

[55]  Paul Tseng,et al.  Approximation Bounds for Quadratic Optimization with Homogeneous Quadratic Constraints , 2007, SIAM J. Optim..

[56]  Zhi-Quan Luo,et al.  Distributed Beamforming for Relay Networks Based on Second-Order Statistics of the Channel State Information , 2008, IEEE Transactions on Signal Processing.

[57]  Z. Luo,et al.  Transmit beamforming to multiple co-channel multicast groups , 2005, 1st IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2005..

[58]  Angel Lozano,et al.  Long-Term Transmit Beamforming for Wireless Multicasting , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

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

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

[61]  Zhi-Quan Luo,et al.  Capacity Limits of Multiple Antenna Multicast , 2006, 2006 IEEE International Symposium on Information Theory.

[62]  Nikos D. Sidiropoulos,et al.  Far-Field Multicast Beamforming for Uniform Linear Antenna Arrays , 2007, IEEE Transactions on Signal Processing.

[63]  N.D. Sidiropoulos,et al.  Broadcasting with channel state information , 2004, Processing Workshop Proceedings, 2004 Sensor Array and Multichannel Signal.