In a multiple user radio communication system, a particular roadside beacon communicates simultaneously with the vehicles that are randomly distributed in the area assigned to the beacon. This spatial distribution means different distances of different vehicles to the beacon, which causes different power attenuations. If the received signal energies are very dissimilar, i.e., some users are very weak (vehicles far form the beacon) in comparison to the others (vehicles near the beacon), then the conventional single-user detector is unable to recover the messages of the weak users reliably, even if the signature waveforms have very low crosscorrelations. This is known as the near-far problem. We solve this problem by resorting to recently developed linear decorrelating detectors which are practical to implement and, although not optimal, able to handle the near-far problem.