Random Triangle: A Baseline Model for Interference Analysis in Heterogeneous Networks

In emerging heterogeneous networks, a wide range of the underlying performance evaluation problems are related to wireless interference characterization and can be reduced to investigating the distribution of a side length in a random triangle. In this work, we address the task of calculating the side length distribution in such a triangle determined by the known distributions of its two other sides and the distribution of the angle between them. No restrictions on the distributions of input random variables are imposed except for their statistical independence. Our solution delivers a crucial building block for interference analysis in multi-tier and multi-radio heterogeneous networks, including mobile device-to-device communication as one of the most extreme interference-limited cases.