This paper analyses the reverse link capacity of a SIR-based power-controlled code-division multiple access (CDMA) system in a multiple-cell environment where the radio channel is affected by multipath Rayleigh fading. Unlike most previous works related to SIR-based power control, the effect of multipath fading is explicitly accounted for and mobiles are assumed to connect to the base station whose pilot signal is received with the highest power. In other papers the derivation of the interference statistics has been greatly simplified since the intracell interference was considered constant. However, in our analysis a complete characterization of the intracell interference statistics is also derived.