Matrix analysis
Parallel and Distributed Computation: Numerical Methods
Parallel and Distributed Computation: Numerical Methods
Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines
EURASIP Journal on Applied Signal Processing
The MIMO iterative waterfilling algorithm
IEEE Transactions on Signal Processing
Competitive optimization of cognitive radio MIMO systems via game theory
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
MIMO cognitive radio: a game theoretical approach
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Optimized signaling for MIMO interference systems with feedback
IEEE Transactions on Signal Processing
IEEE Transactions on Wireless Communications
Asynchronous Iterative Water-Filling for Gaussian Frequency-Selective Interference Channels
IEEE Transactions on Information Theory
Distributed Power Allocation With Rate Constraints in Gaussian Parallel Interference Channels
IEEE Transactions on Information Theory
Distributed multiuser power control for digital subscriber lines
IEEE Journal on Selected Areas in Communications
Cognitive radio: brain-empowered wireless communications
IEEE Journal on Selected Areas in Communications
Competition Versus Cooperation on the MISO Interference Channel
IEEE Journal on Selected Areas in Communications
Cooperative Game Theory and the Gaussian Interference Channel
IEEE Journal on Selected Areas in Communications
Competitive Design of Multiuser MIMO Systems Based on Game Theory: A Unified View
IEEE Journal on Selected Areas in Communications
Competitive optimization of cognitive radio MIMO systems via game theory
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
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The concept of cognitive radio (CR) has recently received great attention from the researchers' community as a promising paradigm to achieve efficient use of the frequency resource by allowing the coexistence of licensed (primary) and unlicensed (secondary) users in the same bandwidth. In this paper, we propose a distributed approach based on game theory to design cognitive MIMO transceiver in hierarchical CR networks, where primary users establish null and/or soft shaping constraints on the transmit covariance matrix of secondary users, so that the interference generated by secondary users be confined within the interference-temperature limits. We formulate the resource allocation problem among secondary users as a strategic noncooperative game, where each transmit/receive pair competes against the others to maximize the information rate over his own MIMO channel, under transmit power and/or null/soft shaping constraints. We provide a unified set of conditions that guarantee the uniqueness and global asymptotic stability of the Nash equilibrium of all the proposed games through totally distributed and asynchronous algorithms. Interestingly, the proposed algorithms overcome the main drawback of classical waterfilling based algorithms--the violation of the interference-temperature limits--and they have many of the desired features required for cognitive radio applications, such as low-complexity, distributed nature, robustness against missing or outdated updates of the users, and fast convergence behavior.