Non-collision probability of a subset of users in DSA systems

This paper presents an exact formula to calculate the probability of the number of successful or dually collided users in finite-user slotted-ALOHA-like systems and to approximate the number of collisions per frame. Such a formula can be employed to estimate the performance in random access schemes with variable and unpredictable traffic load as for machine-to-machine (M2M) communications on wireless sensor networks. Numerical results show the accuracy of the model and its employment for deriving the performance of a Diversity-Slotted-ALOHA system.