Capacity analysis of SFHMA cellular systems under a unified outage criterion

Slow frequency hopping (SFH) has been proposed as a candidate for multiple access (MA) in cellular radio. In this system, users hop independently over a set of carriers according to a probabilistic law. Interference originates from colliding users that hop simultaneously to the same carrier. In this paper, a new method for evaluating the capacity of SFHMA cellular radio systems is presented. Collision statistics are derived using well-known trunking theory models, and used to obtain the interference statistics as a function of average cell loading. A new definition of outage probability is proposed that integrates the hard blocking nature of slotted systems and the soft blocking characteristic of interference-limited systems into a single measure of outage performance. Using this framework, capacity may be evaluated in a unified manner for SFHMA systems with varying numbers of carriers and degrees of frequency re-use