Topics in matrix analysis
Elements of information theory
Elements of information theory
Principles of Mobile Communication
Principles of Mobile Communication
Parallel and Distributed Computation: Numerical Methods
Parallel and Distributed Computation: Numerical Methods
NeXt generation/dynamic spectrum access/cognitive radio wireless networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines
EURASIP Journal on Applied Signal Processing
Power control for multiuser communication systems and computation of generalized nash equilibria
Power control for multiuser communication systems and computation of generalized nash equilibria
Autonomous Spectrum Balancing for Digital Subscriber Lines
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Correlated jamming on MIMO Gaussian fading channels
IEEE Transactions on Information Theory
Asynchronous Iterative Water-Filling for Gaussian Frequency-Selective 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
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
Robust IWFA for open-spectrum communications
IEEE Transactions on Signal Processing
The waterfilling game-theoretical framework for distributed wireless network information flow
EURASIP Journal on Wireless Communications and Networking - Special issue on dynamic spectrum access: from the concept to the implementation
Nonconvex Games with Side Constraints
SIAM Journal on Optimization
| Hi-index | 35.69 |
Consider a scenario in which K users and a jammer share a common spectrum of N orthogonal tones. Both the users and the jammer have limited power budgets. The goal of each user is to allocate its power across the N tones in such a way that maximizes the total sum rate that he/she can achieve, while treating the interference of other users and the jammer's signal as additive Gaussian noise. The jammer, on the other hand, wishes to allocate its power in such a way that minimizes the utility of the whole system; that being the total sum of the rates communicated over the network. For this noncooperative game, we propose a generalized version of the existing iterative water-filling algorithm whereby the users and the jammer update their power allocations in a greedy manner. We study the existence of a Nash equilibrium of this non-cooperative game as well as conditions under which the generalized iterative water-filling algorithm converges to a Nash equilibrium of the game. The conditions that we derive in this paper depend only on the system parameters, and hence can be checked a priori. Simulations show that when the convergence conditions are violated, the presence of a jammer can cause the, otherwise convergent, iterative water-filling algorithm to oscillate.