Matrix analysis
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Elements of information theory
Elements of information theory
Dynamic Spectrum Access with QoS and Interference Temperature Constraints
IEEE Transactions on Mobile Computing
Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines
EURASIP Journal on Applied Signal Processing
Iterative power pricing for distributed spectrum coordination in DSL
IEEE Transactions on Communications
Spectrum management for interference-limited multiuser communication systems
IEEE Transactions on Information Theory
Budget allocation in a competitive communication spectrum economy
EURASIP Journal on Advances in Signal Processing - Special issue on game theory in signal processing and communications
Practical algorithms for a family of waterfilling solutions
IEEE Transactions on Signal Processing
Autonomous Spectrum Balancing for Digital Subscriber Lines
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Spectrum trading in cognitive radio networks: A market-equilibrium-based approach
IEEE Wireless Communications
Power Control By Geometric Programming
IEEE Transactions on Wireless Communications
A generalized framework for distributed power control in wireless networks
IEEE Transactions on Information Theory
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
COGNITIVE RADIOS FOR DYNAMIC SPECTRUM ACCESS - Dynamic Spectrum Sharing: A Game Theoretical Overview
IEEE Communications Magazine
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
Distributed interference compensation for wireless networks
IEEE Journal on Selected Areas in Communications
Spectrum sharing for unlicensed bands
IEEE Journal on Selected Areas in Communications
Spectrum Leasing to Cooperating Secondary Ad Hoc Networks
IEEE Journal on Selected Areas in Communications
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
Pricing in noncooperative interference channels for improved energy efficiency
EURASIP Journal on Wireless Communications and Networking - Special issue on interference management in wireless communication systems: theory and applications
Partial penalization for the solution of generalized Nash equilibrium problems
Journal of Global Optimization
Nonconvex Games with Side Constraints
SIAM Journal on Optimization
Hi-index | 35.68 |
The concept of cognitive radio (CR) has recently received great attention from the research 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 novel Nash equilibrium (NE) problem to model concurrent communications of cognitive secondary users who compete against each other to maximize their information rate. The formulation contains constraints on the transmit power (and possibly spectral masks) as well as aggregate interference tolerable at the primary users' receivers. The coupling among the strategies of the players due to the interference constraints presents a new challenge for the analysis of this class of Nash games that cannot be addressed using the game theoretical models proposed in the literature. For this purpose, we need the framework given by the more advanced theory of finite-dimensional variational inequalities (VI). This provides us with all the mathematical tools necessary to analyze the proposed NE problem (e.g., existence and uniqueness of the solution) and to devise alternative distributed algorithms along with their convergence properties.