Analysis of the dynamics of CDMA reverse link power control

We develop an analytical expression far the mobile station transmit power based on a discrete time and state space. In our model we focus on the time-varying distortions found in a CDMA reverse link channel, network delays, and the fluctuations in multi-access interference. Based on this description we are able to characterize the dynamic behaviour of the power control loop and its reaction time to batch arrivals and departures. We also give an expression for exceeding the dynamic range of the discrete-step power control algorithm, allowing a systems engineer to calculate the trade-offs between capacity and coverage of the system.