A distributed multi-step power control algorithm is proposed for cellular networks. The proposed scheme utilises local information to feedback control commands for power adjustments. The sufficient condition that ensures system stability is obtained. In addition, a general formula for the bound of the received CIR is derived in the presence of short-term fading. The bound of the received CIR is shown to be a function of the number of power control steps, the step size and the dead factor. In addition, system stability for the mode-1 power control scheme is analysed by applying the results obtained for the multi-step power control algorithm. Furthermore, the convergence region of the received CIR for long-term fading channels is treated as a special case by assuming that all link gains are constant for consecutive measurements. Simulation results were obtained to verify the theoretical derivations. The time required to converge on the target CIR was also analysed by simulation experiments. To demonstrate the applicability of the proposed algorithm on practical and imperfect situations, the effects of step size, power adjustment rate, feedback delay, feedback error and CIR estimation error are investigated and results substantiate the validity of our proposed algorithm.
European Transactions on Telecommunications 19(2): 193-206