Error Probability and Hypothesis Testing
Albert Guillen i Fabregas
Universitat Pompeu Fabra, Barcelona
Abstract:
This talk will discuss a recent result that gives two alternative characterizations of the error probability of multi-hypothesis testing in the Bayesian setting. One of these expressions relates the probability of error of multi-hypothesis testing with that of binary hypothesis testing in the non-Bayesian setting. The other, will appear as a familiar information spectrum expression. The talk will illustrate how to apply the result to characterize the exact error probability in channel coding. Extensions of the method to the lossy compression case will also be reviewed.
Biography:
Albert Guillén i Fàbregas was born in Barcelona in 1974. In 1999 he received the Telecommunication Engineering Degree and the Electronics Engineering Degree from Universitat Politècnica de Catalunya and Politecnico di Torino, respectively, and the Ph.D. in Communication Systems from Ecole Polytechnique Fédérale de Lausanne (EPFL) in 2004.
Since 2011 he has been a Research Professor of the Institució Catalana de Recerca i Estudis Avançats (ICREA) hosted at the Department of Information and Communication Technologies, Universitat Pompeu Fabra. He is also Adjunct Researcher at the Department of Engineering, University of Cambridge.
He has held appoinments at the New Jersey Institute of Technology, Telecom Italia, European Space Agency (ESA), Institut Eurécom, University of South Australia, as well as visiting appointments at Ecole Nationale des Télécommunications (Paris), Universitat Pompeu Fabra, University of South Australia, Centrum Wiskunde & Informatica and Texas A&M University in Qatar.
Dr. Guillén i Fàbregas received the Starting Grant from the European Research Council, the Young Authors Award of the 2004 European Signal Processing Conference, the 2004 Best Doctoral Thesis Award from the Spanish Institution of Telecommunications Engineers, and a Research Fellowship of the Spanish Government to join ESA. He is an Editor of the Foundations and Trends in Communications and Information Theory. He is also a Senior Member of IEEE and was an Editor of the IEEE Transactions on Wireless Communications (2007-2011).