Princeton University

School of Engineering & Applied Science

Spatial Birth-Death Models for Wireless Networks

Abishek Sankararaman, University of Texas at Austin
E-Quad, B205
Thursday, November 17, 2016 - 4:00pm

Abstract:  In this talk, we introduce and analyze a space-time model for wireless networks. We propose a new model for wireless networks to precisely model the stochastic interactions both in space due to interference and in time due to randomness in traffic arrivals and file sizes. This model we introduce, consists of an interacting particle birth-death dynamics incorporating Information-theoretic spectrum sharing. Roughly speaking, particles (or more generally wireless links) arrive into the network which is modeled as a subset of the Euclidean plane, and stay for a duration governed by the local configuration of points present, and then exit the network after completion of a file transfer. We analyze this particle dynamics to derive the exact phase-transition for stability. Furthermore, we show that when the dynamics is stable, the steady-state point-process of links exhibits a form of statistical clustering. We leverage this clustering to derive approximations, bounds and asymptotics on performance characteristics such as delay and the density of links per unit-area. We will then conclude with some simulation studies and comment on future work.