Abstract: The capacity of a cellular radio system is largely dependent on its transmitter power control. Since power control is inherently a real-time problem, to fine the fastest carrier-to-interference ratio (CIR) balancing algorithm, which forces the CIR of each cell to converge to a value, has been the essential issue.
 An efficient parametric power control (PPC) scheme is developed in this paper. In this scheme, the power control is performed at each base by using some parameters provided by the contral collector, which determines the multiplier of the power update function, The algebraic property of its CIR balancing algorithm is analyzed. In an environment with zero noise, the scheme proposes a quick method for obtaining a least upper bound on the achievable CIR.
 The proposed scheme PPC is also considered in a cellular system with positive receiver noise. The computational results show that the convergence of the proposed CIR balancing algorithm is quick and the power consumption is reasonable compared to distributionschemes. With the proposed algorithm, the CIR's are balanced sufficiently in a short power control period.