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Random-Set Theory and its Applications to Wireless Communications

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Abstract

Random-set theory (RST) is a probability theory of finite sets that exhibit randomness not only in each element, but also in the number of their elements. RST develops concepts that are not a part of conventional probability theory. In fact, a central point in RST is the generation of “densities” which are not the usual Radon-Nikodym derivatives of probability measures, but rather “set derivatives” of nonadditive “belief functions.” RST has considerable generality and flexibility, is consistent with engineering intuition, and is easy to use. In this talk, I shall show how RST can provide the tool of choice for the analysis of a number of problems in wireless communication. Among them, (a) Multiuser detection in which the number of active users is unknown and time-varying, with a hidden Markov model for their appearance and disappearance, and (b) Equalization of multipath channels where the number of paths is not known a priori.

Brief Biography

Ezio Biglieri was born in Aosta, Italy. He studied electrical engineering at Politecnico di Torino, Torino, Italy, where he received the Dr. Engr. degree in 1967.

He is presently a Professor at Universitat Pompeu Fabra, Barcelona, Spain, and an Adjunct Professor of Electrical Engineering at University of California Los Angeles (UCLA). Previously he was a Professor at the University of Napoli, Napoli, Italy, at Politecnico di Torino, Torino, Italy, and at UCLA . He has held visiting positions with the Department of System Science, UCLA ; the Mathematical Research Center, Bell Laboratories, Murray Hill, NJ; the Bell Laboratories, Holmdel, NJ; the Department of Electrical Engineering, UCLA ; the Telecommunication Department of the Ecole Nationale Supérieure des Télécommunications, Paris, France; the University of Sydney, Sydney, Australia; the Yokohama National University, Yokohama, Japan; the Electrical Engineering Department at Princeton University, Princeton, NJ; the University of South Australia, Adelaide, Australia; the University of Melbourne, Melbourne, Australia; the Institute for Communications Engineering, Munich Institute of Technology, Munich, Germany; and the Institute for Infocomm Research, National University of Singapore.

Prof. Biglieri was elected three times to the Board of Governors of the IEEE Information Theory Society, and he served as its President in 1999. He is now the Editor-in-Chief of the IEEE TRANSACTIONS ON INFORMATION THEORY and of the Journal of Communications and Networks. Among other honors, in 2000 he received the IEEE Third-Millennium Medal and the IEEE Donald G. Fink Prize Paper Award, in 2001 the IEEE Communications Society Edwin Howard Armstrong Achievement Award as well as a Best Paper Award from WPMC ’01, Aalborg, Denmark, and in 2004 the Journal of Communications and Networks Best Paper Award.

This talk is part of the Signal Processing and Communications Lab Seminars series.

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