A diffusion approximation for voice-data integration in a wireless network

A diffusion approximation is proposed for the data section of the source encoding assisted multiple access (SEAMA) protocol, a voice and data communication wireless network. In SEAMA, a reservation mechanism handles the slot assignment for the voice traffic which operates as an M/M/N_max/N_max loss system. The data traffic is a Markovian queueing system with a random number of channels assigned. It is shown that for high loads of voice traffic and high loads of data traffic, the data queueing system is similar to a dam with an input which can be decomposed into three independent components: a Markov AR process, a non-zero mean white Gaussian noise process and a zero mean Gaussian random variable. The data process is shown to be approximated by a Wiener process with a reflecting barrier at the origin. Using this approximation, the system behavior is described and the desired parameters for the data traffic, i.e. average data packet delay and average data queue length are obtained