Einladung zum Vortrag im Kolloquium Technische Kybernetik

  Statistical signal processing of complex-valued data

Prof. Dr. Peter Schreier
Signal and System Theory Group
Universität Paderborn

Tuesday, 26. July 2011, 4:00 p.m.
IST-Seminar-Room 3.243 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen

Abstract

Complex-valued random signals are embedded into the very fabric of science and engineering, essential to communications, radar, sonar, oceanography, optics, acoustics, and other areas. This talk illuminates why complex-valued problem descriptions are often more meaningful and powerful than real bivariate descriptions. In the past, it was often assumed that complex random signals are proper and circular. A proper complex random variable is uncorrelated with its complex conjugate, and a circular complex random variable has a probability distribution that is invariant under rotation in the complex plane. These assumptions are convenient because they simplify computations and make complex signals behave very much like real-valued signals. Yet in many cases proper and circular random signals are very poor models of the underlying physics. This talk presents some tools and algorithms that are necessary to deal with improper and noncircular signals, and shows that this can have significant payoffs.

Biographical Information

Peter Schreier is Professor and Head of the Signal and System Theory Group in the Department of Electrical Engineering and Information Technology at the Universität Paderborn, Germany. He was born in Munich, Germany, in 1975. He received a Master of Science from the University of Notre Dame, Indiana, USA, in 1999, and a Ph.D. from the University of Colorado at Boulder, USA, in 2003, both in electrical engineering. In the Fall semester of 1998, he was a visiting research student with the Coding Group at the University of Hawaii at Manoa, USA. In the Spring semester of 2004, he was a Postdoctoral Research Associate, and in the Spring semester of 2008, a Visiting Associate Professor with the Department of Electrical and Computer Engineering at Colorado State University, Ft. Collins, USA. From 2004 until January 2011, he was on the faculty of the University of Newcastle, Australia. He currently serves as Area Editor and Associate Editor of the IEEE Transactions on Signal Processing, and on the IEEE Technical Committee Machine Learning for Signal Processing.