Analysis of an up/down power control algorithm for the CDMA reverse link under fading

In this paper, we analyze the performance of a code division multiple acces s (CDMA) reverse link with an up/down power control algorithm in the presen ce of fading, We derive a stochastic nonlinear feedback control system mode l for the power controlled reverse link, and study the power control perfor mance based on the nonlinear model using the technique of statistical linea rization, We provide a general analysis framework that allows us to study t he effect of mobile speed, power control step size, and fading channel para meters such as correlation coefficient and rate of fading on power control errors, Numerical results show excellent accuracy of our analysis, which ca n he used to design and optimize the system parameters,without going throug h lengthy simulations, For example, in the presence of shadow fading, it is seen that a power control step size in the range of 0.5-1.3 dB is sufficie nt to keep power control errors near a minimum. In the case of Rayleigh fad ing, the standard deviation of power control errors grows quickly even at m oderate mobile speeds.