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High resolution spectral analysis via analytic interpolation

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Abstract:
Imaging technology from ultrasound and magnetic resonance (MRI) to antenna arrays and synthetic aperture radar (SAR), relies on the mathematical tools of spectral analysis. We will overview an approach to spectral analysis which uses analytic interpolation for obtaining information about the power spectrum of an underlying stochastic process from covariance statistics. Early work during the 1980's and 1990's was based on the theory of the classical trigonometric moment problem and of Szego orthogonal polynomials, and led to the so-called ``modern nonlinear methods'' (Burg's maximum entropy method, Capon's method, MUSIC, ESPRIT, etc.). More recent developments take advantage of generalized statistics and, accordingly, generalized analytic interpolation, and give rise to methods with substantially better resolution. Finally, we will discuss an approach to approximation of power spectra and its relevance in reconciling inconsistent measurements with prior estimates. Bio: Dr. Tryphon T. Georgiou was born in Athens, Greece, in 1956. He received the Diploma in Mechanical and Electrical Engineering from the National Technical University of Athens, Greece, in 1979, and the Ph.D. degree from the University of Florida, Gainesville, in 1983. He has been a member of the faculty at Florida Atlantic (1983-1986) and Iowa State (1986-1989) Universities. Since August 1989 he has been with the University of Minnesota where he is a Professor of Electrical and Computer Engineering and holds the Hermes-Luh Professorship in Electrical Engineering. He is a Fellow of the Institute of Electrical and Electronics Engineers and is currently serving on the Governing Board of the Control Systems Society. He has been a co-recipient, together with Dr. Malcolm C. Smith (Univ. of Cambridge), of two George Axelby Outstanding Paper awards for the years 1992 and 1999.

http://www.ece.umn.edu/users/georgiou
Type of Seminar:
Public Seminar
Speaker:
Prof. Tryphon T. Georgiou
Dept of Electrical and Computer Eng., University of Minnesota, 200 Union Street S.E., Minneapolis, MN 55455, USA
Date/Time:
Apr 30, 2003   17:15
Location:

ETH Zentrum, Gloriastrasse 35, 8006 Zurich, Building ETZ, Room E6
Contact Person:

Prof. Morari
File Download:

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Biographical Sketch:
Dr. Tryphon T. Georgiou was born in Athens, Greece, in 1956. He received the Diploma in Mechanical and Electrical Engineering from the National Technical University of Athens, Greece, in 1979, and the Ph.D. degree from the University of Florida, Gainesville, in 1983. He has been a member of the faculty at Florida Atlantic (1983-1986) and Iowa State (1986-1989) Universities. Since August 1989 he has been with the University of Minnesota where he is a Professor of Electrical and Computer Engineering and holds the Hermes-Luh Professorship in Electrical Engineering. He is a Fellow of the Institute of Electrical and Electronics Engineers and is currently serving on the Governing Board of the Control Systems Society. He has been a co-recipient, together with Dr. Malcolm C. Smith (Univ. of Cambridge), of two George Axelby Outstanding Paper awards for the years 1992 and 1999.