Higher Order Sectorization (HOS), which splits macro base stations into a larger number of sectors, is widely considered in the cellular community as a cost-effective means of improving network capacity. We develop two general and low-complexity analytical models to characterize and relate the uplink performance indicators with key dynamic functionalities and variables, such as fractional power control (FPC), directional antenna radiation patterns and the multi-cell inter-cell interference (ICI). The adopted methodology approximates the uplink ICIs from individual cell sectors by log-normal random variables, of which the statistical parameters can be estimated using approaches that trade-off complexity and accuracy. Furthermore, the aggrega...