research interests & bio
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Research Interests & Bio of Margreta Kuijper
I am an Associate Professor and Reader at the Department of Electrical and Electronic Engineering of the University of Melbourne (Australia) where I have been employed since 1995. From 1992 to 1995 I was a postdoctoral fellow at the Mathematics Department of the University of Groningen, the Netherlands. From 1988 to 1992 I worked at the Center of Mathematics and Computer Science (CWI), Amsterdam, where I obtained my PhD degree in 1992 (supervisor: J.M. Schumacher). I obtained my Master degree cum laude in Mathematics from Free University (VU), Amsterdam in 1985. In the years 1985-1988 I worked at the National Aerospace Laboratory, Amsterdam.
In my current research I am mainly interested in the interplay between systems theory and communications. My current research interests include polynomial matrix theory, behavioral system theory, convolutional coding, Reed-Solomon coding, systems and codes over finite fields and rings, coding for packet transmission, data compression for correlated sources.
My research background is in system theory. In my early research I have contributed to the development of the so-called behavioral approach to system theory, introduced by J.C. Willems in the 80s. In this approach systems are considered in terms of their trajectories rather than their input-output relationships. My early research is reflected in the book "First-order representations of linear systems" (Birkhauser, 1994) which is based on my PhD thesis. The book deals with realization theory and minimal representations, an area that has consistently haunted me over the years, popping up in different guises and applications. In the early days I also investigated feedback stabilization of linear systems and I studied periodically time-varying linear systems.
Since 1994 my main research interests have been concerned with connections between system theory and error control coding. My initial work in this area (in collaboration with J.C. Willems) showed that the Berlekamp-Massey algorithm is a special instance of a behavioural modeling procedure. Thus a connection was made with decoding algorithms for Reed-Solomon codes. Subsequent work in this area includes Euclidean Reed-Solomon decoding, multivariable extension of the Berlekamp-Massey algorithm, errors-and-erasures Reed-Solomon decoding, list Reed-Solomon decoding, Lee-metric Reed-Solomon decoding.
One of my current research activities focuses on open problems in communications that involve systems over finite rings.
Other research interests in communications/systems theory that I am currently pursuing with postgraduate students are: "Data Compression of Correlated Sources" and "Unequal Delay Erasure Protection for Packet Transmission".
Author: Margreta Kuijper