Broadcast Transmission Capacity of Heterogeneous Wireless Ad Hoc Networks with Secrecy Outage Constraints

The scope of this paper is two-fold. First, we extend the concept of transmission capacity of a wireless network to the broadcast scenario and consequently define the broadcast transmission capacity of a wireless network as the product of the spatial density of broadcasting nodes, the average number of neighbors of a broadcasting node, and the information rate, considering both intra-system interference and inter-system interference from multiple coexisting heterogeneous wireless networks. The broadcast transmission capacity is obtained under general fading of desired signal and interfering signals. Second, we characterize the impact of eavesdroppers on the broadcast transmission capacity of a wireless network with secrecy outage constraint. In this case, the information rate is replaced by the secrecy rate. Our results illustrate performance limits of a network coexisting with other heterogeneous networks (and/or eavesdroppers) and trade-offs between different system parameters, and thus suggest network design (e.g., optimal medium access probability) of protocols that require local broadcasting, such as local information exchange in distributed network optimization and gossip-based algorithms.