Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Coding Theorems of Information Theory
Coding Theorems of Information Theory
Convex Optimization
Matrix Analysis For Scientists And Engineers
Matrix Analysis For Scientists And Engineers
Robust downlink power control in wireless cellular systems
EURASIP Journal on Wireless Communications and Networking - Special issue on multiuser MIMO networks
Tractable Approximations to Robust Conic Optimization Problems
Mathematical Programming: Series A and B
Strong Duality in Nonconvex Quadratic Optimization with Two Quadratic Constraints
SIAM Journal on Optimization
Robust linear MIMO in the downlink: a worst-case optimization with ellipsoidal uncertainty regions
EURASIP Journal on Advances in Signal Processing
Robust QoS-constrained optimization of downlink multiuser MISO systems
IEEE Transactions on Signal Processing
Spectrum sensing measurements of pilot, energy, and collaborative detection
MILCOM'06 Proceedings of the 2006 IEEE conference on Military communications
Semidefinite relaxation based multiuser detection for M-ary PSK multiuser systems
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Signal Processing
A competitive minimax approach to robust estimation of random parameters
IEEE Transactions on Signal Processing
Robust adaptive beamforming for general-rank signal models
IEEE Transactions on Signal Processing
Statistically Robust Design of Linear MIMO Transceivers
IEEE Transactions on Signal Processing - Part I
Fundamental limits of spectrum-sharing in fading environments
IEEE Transactions on Wireless Communications
Optimization of the MIMO Compound Capacity
IEEE Transactions on Wireless Communications
Robust Downlink Beamforming Based on Outage Probability Specifications
IEEE Transactions on Wireless Communications
Sensing-Throughput Tradeoff for Cognitive Radio Networks
IEEE Transactions on Wireless Communications
Joint power control and beamforming for cognitive radio networks
IEEE Transactions on Wireless Communications
MIMO Broadcast Channels With Finite-Rate Feedback
IEEE Transactions on Information Theory
Cognitive radio: brain-empowered wireless communications
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Joint Beamforming and Power Allocation for Multiple Access Channels in Cognitive Radio Networks
IEEE Journal on Selected Areas in Communications
IEEE Transactions on Wireless Communications
Wireless Personal Communications: An International Journal
Wireless Personal Communications: An International Journal
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This paper studies the robust beamforming design for a multi-antenna cognitive radio (CR) network, which transmits to multiple secondary users (SUs) and coexists with a primary network of multiple users.We aim to maximize the minimum of the received signal-to-interference-plus-noise ratios (SINRs) of the SUs, subject to the constraints of the total SU transmit power and the received interference power at the primary users (PUs) by optimizing the beamforming vectors at the SU transmitter based on imperfect channel state information (CSI). To model the uncertainty in CSI, we consider a bounded region for both cases of channel matrices and channel covariance matrices. As such, the optimization is done while satisfying the interference constraints for all possible CSI error realizations.We shall first derive equivalent conditions for the interference constraints and then convert the problems into the form of semi-definite programming (SDP) with the aid of rank relaxation, which leads to iterative algorithms for obtaining the robust optimal beamforming solution. Results demonstrate the achieved robustness and the performance gain over conventional approaches and that the proposed algorithms can obtain the exact robust optimal solution with high probability.