Determinant Maximization with Linear Matrix Inequality Constraints
SIAM Journal on Matrix Analysis and Applications
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Convex Optimization
Linear precoding via conic optimization for fixed MIMO receivers
IEEE Transactions on Signal Processing
Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints
IEEE Transactions on Signal Processing
Fundamental limits of spectrum-sharing in fading environments
IEEE Transactions on Wireless Communications
Sensing-Throughput Tradeoff for Cognitive Radio Networks
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality
IEEE Transactions on Information Theory
Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels
IEEE Transactions on Information Theory
Iterative water-filling for Gaussian vector multiple-access channels
IEEE Transactions on Information Theory
Sum capacity of Gaussian vector broadcast channels
IEEE Transactions on Information Theory
Sum power iterative water-filling for multi-antenna Gaussian broadcast channels
IEEE Transactions on Information Theory
Uplink-downlink duality via minimax duality
IEEE Transactions on Information Theory
Sum-capacity computation for the Gaussian vector broadcast channel via dual decomposition
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
On Capacity Under Receive and Spatial Spectrum-Sharing Constraints
IEEE Transactions on Information Theory
Transmit beamforming and power control for cellular wireless systems
IEEE Journal on Selected Areas in Communications
Cognitive radio: brain-empowered wireless communications
IEEE Journal on Selected Areas in Communications
An iterative water-filling algorithm for maximum weighted sum-rate of Gaussian MIMO-BC
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
Secure communication over MISO cognitive radio channels
IEEE Transactions on Wireless Communications
Fading cognitive multiple access channels: outage capacity regions and optimal power allocation
IEEE Transactions on Wireless Communications
Cognitive Radio MIMO Gaussian Broadcast Channels with the Power Constraint
Wireless Personal Communications: An International Journal
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In this paper, we consider a cognitive radio (CR) network, in which the unlicensed (secondary) users are allowed to concurrently access the spectrum allocated to the licensed (primary) users provided that their interference to the primary users (PUs) satisfies certain constraints. We study a weighted sum rate maximization problem for the secondary user (SU) multiple input multiple output (MIMO) broadcast channel (BC), in which the SUs are subject to not only a sum power constraint but also interference power constraints. We transform this multiconstraint maximization problem into its equivalent form, which involves a single constraint with multiple auxiliary variables. Fixing these multiple auxiliary variables, we propose a duality result for the equivalent problem. Exploiting the duality result, we develop an efficient subgradient based iterative algorithm to solve the equivalent problem and show that the developed algorithm converges to a globally optimal solution. Simulation results are provided to corroborate the effectiveness of the proposed algorithm.