Abstract: Fundamental understanding of the impact of system parameters on the achievable performance regions in fading wireless multiuser channels is necessary for sustainable system design and thus a timeless research field in communications. For the simplest case to compare to real scalar values, e.g., signal-to-noise ratios, the standard trichotomy works well. However, often the system depends on vectors or even matrices of parameters and different orders, e.g., majorization or Loewner order, applies. In fading scenarios, the parameters are random variables and the orders are extended to stochastic orders. In this talk, we apply stochastic orders to characterise the capacity region of broadcast channels, interference channels, and wiretap channels. The relationship between stochastic order and degradedness of channels allows to derive novel capacity results for broadcast channels with imperfect channel information at the transmitter. The relationship between stochastic order and (very) strong-interference condition in interference channels allows to develop novel capacity results for interference channels with imperfect channel information at the transmitters. Finally, the secrecy capacity for a class of wiretap channels is derived with statistical channel information at the transmitter.

Eduard A. Jorswieck was born in 1975 in Berlin, Germany. Since February 2008, he has been the head of the Chair of Communications Theory and Full Professor at Dresden University of Technology (TUD), Germany. Eduard's main research interests are in the area of signal processing for communications and networks, applied information theory, and communications theory. He has published more than 100 journal papers, 3 monographs, 11 book chapter, and some 275 conference papers on these topics. Eduard is co-founder of the 5G Lab Germany, PI in the collaborative research cluster HAEC, and the excellence cluster cfAED. This year, he serves as TPC-Chair for ITG WSA, TPC Co-Chair at IEEE ISWCS, track-chair at IEEE WCNC and Eusipco.

Dr. Jorswieck is senior member of IEEE. Since 2017, he is Editor-in-Chief of the Springer EURASIP Journal on Wireless Communications and Networking. He was member of the IEEE SPCOM Technical Committee (2008-2013) and is member of the IEEE SAM TC (since 2015). Since 2011, he acts as Associate Editor for IEEE Transactions on Signal Processing. Since 2008, continuing until 2011, he has served as an Associate Editor for IEEE Signal Processing Letters. Since 2012, continuing until 2013, he was Senior Associate Editor for IEEE Signal Processing Letter. Since 2016, he serves as Associate Editor for IEEE Transactions on Information Forensics and Security. Since 2013, he serves as Associate Editor for IEEE Transactions on Wireless Communications. In 2006, he received the IEEE Signal Processing Society Best Paper Award.

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