Convergence Theorem for a General Class of Power-Control Algorithms
Kin Kwong Leung, Chi Wan Sung, Wing Shing Wong, Tat-Ming Lok · IEEE Transactions on Communications · 2004
We consider the convergence issues of distributed power-control algorithms for mobile cellular systems. A convergence theorem for power-control algorithms of canonical type is proved. Our result generalizes Yates' framework and provides a new outlook on the problem. The general applicability of the theorem is demonstrated by showing that many well-known distributed algorithms are canonical. Furthermore, by devising some new discrete algorithms, we exemplify how the theorem can be used to aid new design.