Abstract:
The objective of this tutorial is to present a concise overview of a general framework for designing provably optimal resource allocation algorithms in wireless systems. We place particular emphasis on fixed-point theory in Thompson and Hilbert projective metric spaces, whose relevance extends well beyond wireless networks to fields such as machine learning, economics, and dynamical systems. The practical value of this theory is demonstrated through examples drawn from the wireless literature, spanning classical cellular architectures to distributed MIMO systems. We also show how the theory provides a unified explanation of fundamental, technology-agnostic properties of wireless networks.

Speaker: Dr. Renato Luís Garrido Cavalcante
Institution: Fraunhofer Institute for Telecommunications – Heinrich Hertz Institute (HHI), Berlin, Germany
Biography:
Renato Luís Garrido Cavalcante received the Electronics Engineering degree from the Instituto Tecnológico de Aeronáutica (ITA), Brazil, in 2002, and the M.E. and Ph.D. degrees in communications and integrated systems from the Tokyo Institute of Technology, Japan, in 2006 and 2008, respectively.
He currently leads the Optimization and Learning for Communications group at the Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany, and serves as a Lecturer at the Technical University of Berlin. He previously held positions as a Research Fellow at the University of Southampton, U.K., and as a Research Associate at the University of Edinburgh, U.K.
His research interests include signal processing for distributed systems, multiagent systems, convex/nonlinear analysis, machine learning, and wireless communications. He was a recipient of the Rector's Award (Second Degree) for scientific achievement from Nicolaus Copernicus University in Toruń, Poland (awarded in 2025). He is a co-author of a paper that received the Best Student Paper Award at IEEE SPAWC 2012, a recipient of the IEEE Signal Processing Society (Japan Chapter) Student Paper Award in 2008, and a recipient of the Excellent Paper Award from the Institute of Electronics, Information and Communication Engineers of Japan in 2006. He is currently serving as a Senior Area Editor for the IEEE Transactions on Signal Processing.