Degree Distribution in Interference-Limited Heterogeneous Wireless Networks and Its Generalizations

We study the degree distribution of a wireless ad hoc network node sustaining inter-system interference from heterogeneous wireless ad hoc networks. The relationship between the average number of neighbors of a wireless node and the number of retransmissions is clarified under different broadcasting schemes. The degree distribution is then generalized to the multi-channel case. Furthermore, the connection between the degree distribution of a wireless node and the connectivity of the wireless network in percolation sense is established by extending the methods of complex network. Using these tools, the benefit of cooperation among heterogeneous wireless networks is analytically justified in terms of percolation threshold. Supplemented with numerical results, our analysis gives insight into fundamental limits of coexistence of heterogeneous wireless networks, advantages of different broadcasting schemes and benefits of cooperation among heterogeneous networks.