Applications of Asymptotic Functions in Wireless Networks

Many wireless technologies have greatly benefited from developments in nonlinear analysis, and in particular in the field of convex analysis. A key concept that has made convex and nonconvex analysis an important tool in science and engineering is the notion of asymptotic function, which is often omitted in many studies that have been influential in the wireless research community. Therefore, asymptotic functions are expected to be deeply connected to many problems in wireless networks, but these connections remain a largely unexplored area. In this study, we explore connections of this type to gain new insights into the performance of network configurations obtained by solving max-min utility optimization problems that are not necessarily convex. In addition, we use asymptotic functions to generalize and unify existing approaches for feasibility analysis in wireless networks.