Techniques to more accurately measure the arrival times of transmissions received at a remote terminal from a number of base stations. In one aspect, unassigned finger processors are used to process and measure the arrival times of transmissions from base stations not in the active set. In another aspect, if no finger processors are available for assignment, the arrival times can be measured in the time period between updates of a reference oscillator used for the measurements. In accordance with a method for determining a position of a remote terminal, a first set of one or more base stations in active communication with the remote terminal is identified and each base station in the first set is assigned at least one finger processor. A second set of one or more base stations not in active communication with the remote terminal is also identified and an available finger processor is assigned to each of at least one base station in the second set. A (signal arrival) time measurement is then performed for each base station, and outputs indicative of the measurements are provided for further processing. To improve accuracy, the measurements can be performed within a narrow time window.