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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. The role of asymptotic functions in network optimization and feasibility studies
 Institute of Electrical and Electronics Engineers IEEE; IEEE Signal Processing Society: IEEE Global Conference on Signal and Information Processing, GlobalSIP 2017. Proceedings : November 1416, 2017, Montreal, Quebec, Canada Piscataway, NJ: IEEE, 2018 ISBN: 9781509059904 ISBN: 9781509059898 ISBN: 9781509059911 pp.563567 
 Global Conference on Signal and Information Processing (GlobalSIP) <5, 2017, Montréal> 

 English 
 Conference Paper 
 Fraunhofer HHI () 
Abstract
Solutions to network optimization problems have greatly benefited from developments in nonlinear analysis, and, in particular, from developments in convex optimization. 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 hidden in many influential studies on nonlinear analysis and related fields. Therefore, we can also expect that asymptotic functions are deeply connected to many results in the wireless domain, even though they are rarely mentioned in the wireless literature. In this study, we show connections of this type. By doing so, we explain many properties of centralized and distributed solutions to wireless resource allocation problems within a unified framework, and we also generalize and unify existing approaches to feasibility analysis of network designs. In particular, we show sufficient and necessary conditions for mappings widely used in wireless communication problems (more precisely, the class of standard interference mappings) to have a fixed point. Furthermore, we derive fundamental bounds on the utility and the energy efficiency that can be achieved by solving a large family of maxmin utility optimization problems in wireless networks.