|email@example.com (Gerald Kaiser)
|Posted: Fri Sep 13, 1996 8:23 pm
Subject: Course: Wavelet course at Umass Lowell
|#15 Course: Wavelet course at Umass Lowell
Course: Wavelet Analysis, 92.552
Instructor: Dr. Gerald Kaiser, Mathematical Sciences Dept., UML
Textbook: G. Kaiser, A Friendly Guide to Wavelets, Birkh=E4user, 1994
Optional software: MATLAB Wavelet Toolbox, by MathWorks, Inc.
Time: Wednesdays 6-9PM, starting 1/22/97
Place: Olsen Bg., probably in Rm 306, UML (North Campus)
The prerequisites are minimal: Matrix theory, Fourier series, and
Fourier integral transforms. Some practical experience with Fourier
analysis would help but is not necessary. All the needed mathematics
are developed in the first chapter of the book, which will be covered
thoroughly with emphasis on intuition rather than rigor. If you are
not sure about the level, you can order the book on a trial basis from
Springer-Verlag by calling 800-777-4643 before deciding.
Many examples will be given using the new MATLAB Wavelet Toolbox, and
various applications will be emphasized. The coverage will consist
mainly of Part I, BASIC WAVELET ANALYSIS:
Mathematical background and notation
Continuous and discrete time-frequency analysis
Continuous and discrete time-scale (wavelet) analysis
Generalized frames: Key to analysis and synthesis
Multiresolution analysis and subband filtering
Daubechies' wavelet bases.
If time permits and there is sufficient interest, I will also give a
brief introduction to Part II of the book, PHYSICAL WAVELETS, which is
Electromagnetic and acoustic wavelets
Applications to radar, sonar, and scattering.
If interested, please let me know so I have a rough idea of the size
of the class. Official registration is in January; call the grad
school office at (508) 934-2380. But if you cannot make a special
trip, just show up in class (after checking with me by phone or email)
and I'll give you some registration material that you can fill out to
register by mail. Let me know if you have any further questions.
Department of Mathematical Sciences
University of Massachusetts-Lowell
Lowell, MA 01854, USA
Phone: (617) 646-1404
Fax: (617) 648-2218