Abstract-This paper considers the multiuser power control problem in a frequency-selective interference channel. The interference channel is modeled as a noncooperative game, and the existence and uniqueness of a Nash equilibrium are established for a two-player version of the game. An iterative water-filling algorithm is proposed to efficiently reach the Nash equilibrium. The iterative water-filling algorithm can be implemented distributively without the need for centralized control. It implicitly takes into account the loop transfer functions and cross couplings, and it reaches a competitively optimal power allocation by offering an opportunity for loops to negotiate the best use of power and frequency with each other. When applied to the upstream power backoff problem in very-high bit-rate digital subscriber lines and the downstream spectral compatibility problem in asymmetric digital subscriber lines, the new power control algorithm is found to give a significant performance improvement when compared with existing methods. Index Terms-Asymmetric digital subscriber line (ADSL), dynamic spectral management, game theory, interference channel, iterative water-filling, Nash equilibrium, power control, spectral compatibility, upstream power backoff, very-high bit-rate digital subscriber line (VDSL).
In REF , the authors proved the existence and uniqueness of a NE for a two-player version of the game, and provided an iterative water-filling algorithm to obtain the NE.
Distributed Multiuser Power Control for Digital Subscriber Lines
IEEE J. Sel. Areas Commun.
IEEE J. Sel. Areas Commun.
Computer Science