Performance analysis of imperfect closed- loop power control over Rayleigh fading

Introduction: Closed-loop power control (CLPC) is a powerful tool to mitigate near-far problems in the reverse link of a CDMA system over fading channels. Thus far in the literature, most of the work addressing CLPC performance has relied on Monte-Carlo simulations because the feedback loop introduces nonlinearity limiting analytical approaches [1]. Although Song et al. present some analytical results in [2], they assume ideal (but impractical) loop conditions, i.e. perfect channel estimation, a single power control group (PCG) delay, and a zero power control command bit (PCB) error probability. In this Letter, we extend the statistically linearisd method in [2] and present a rigorous analysis, including imperfect channel estimation, multiple PCG delays, and a nonzero PCB error probability.