Exact outage probability of two nodes for cooperative networks using GF(4)

In wireless networks, advanced communication techniques exploited network coding and cooperative schemes have attracted considerable attention as ways to enhance power efficiency as well as to achieve high throughput and spectral efficiency. In this paper, we consider a cooperative wireless network with two nodes and one base station, and investigate the impact of using nonbinary network coding. We derive the exact and general outage probability in our network coding schemes, and obtain the approximation of the outage probability. We compare outage probabilities between exact and approximate results. We show that a full diversity order can be obtained using a nonbinary network code with GF(4) in the considered network.