The QR Decomposition and the Decision Feedback Detectors: Applications to Block Data Transmission Systems

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• Professor K. Max Wong McMaster University, Canada
• Thursday 28 May 2009, 11:00-12:00
• Dennis Gabor Seminar Room 611, EE Dept..

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In this talk, we describe the relationship between the QR-decomposition of a matrix and the decision feedback detectors used in signal processing. We first introduce the QRS decomposition of a matrix and its geometric interpretation. We then examine a block-by-block communication system that employs (intra-block) decision feedback detection and develop a method for jointly designing the transmitter-receiver (transceiver) pair in such systems. We provide closed-form expressions for transmitter-receiver pairs that simultaneously minimize the arithmetic mean squared error (MSE) at the decision point (assuming perfect feedback), the geometric MSE , and the bit error rate of a uniformly bit-loaded system at moderate-to-high signal-to-noise ratios. We then examine the optimum designs of the transceivers in terms of the algebraic QRS decomposition and explains the functions of the optimum structures in the light of the component matrices. Finally we present simulation studies which indicate that the proposed transceivers perform significantly better than standard transceivers, and that they retain their performance advantages in the presence of error propagation.

Biography: Kon Max Wong received his BSc(Eng), DIC , PhD, and DSc(Eng) degrees, all in electrical engineering, from the University of London, England, in 1969, 1972, 1974 and 1995, respectively. He started working at the Transmission Division of Plessey Telecommunications Research Ltd., England, in 1969. In October 1970 he was on leave from Plessey pursuing postgraduate studies and research at Imperial College of Science and Technology, London. In 1972, he rejoined Plessey as a research engineer and worked on digital signal processing and signal transmission. In 1976, he joined the Department of Electrical Engineering at the Technical University of Nova Scotia, Canada, and in 1981, moved to McMaster University, Hamilton, Canada, where he has been a Professor since 1985 and served as Chairman of the Department of Electrical and Computer Engineering in 1986–87, 1988–94 and 2003-08. Professor Wong was on leave as Visiting Professor at the Department of Electronic Engineering of the Chinese University of Hong Kong from 1997 to 1999. At present, he holds the Canada Research Chair in Signal Processing at McMaster University. His research interest is in signal processing and communication theory and has published over 240 papers in the area.

Professor Wong was the recipient of the IEE Overseas Premium for the best paper in 1989, and is also the co-author of the papers that received the IEEE Signal Processing Society “Best Young Author” awards of 2006 and 2008. He is a Fellow of IEEE , a Fellow of the Institution of Electrical Engineers, a Fellow of the Royal Statistical Society, and a Fellow of the Institute of Physics. More recently, he has also been elected as Fellow of the Canadian Academy of Engineering as well as Fellow of the Royal Society of Canada. He was an Associate Editor of the IEEE Transaction on Signal Processing, 1996–98 and served as Chair of the Sensor Array and Multi-channel Signal Processing Technical Committee of the IEEE Signal Processing Society in 2002–04. Professor Wong was the recipient of a medal presented by the International Biographical Centre, Cambridge, England, for his “outstanding contributions to the research and education in signal processing” in May 2000, and was honoured with the inclusion of his biography in the two books: Outstanding People of the 20th Century and 2000 Outstanding Intellectuals of the 20th Century published by IBC to celebrate the arrival of the new millennium.

Speaker’s full details: Professor K. Max Wong Canada Research Chair in Signal Processing Department of Electrical and Computer Engineering McMaster University, Canada

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