DIF5913, Wavelets
Høst, 2004
Informal introduction
Wavelets are mathematical functions which cut up data into different
frequency components, and then study each component with a resolution
matches to its scale. They have advantages over traditional
Fourier methods in analyzing physical situations when the signal
contains discontinuities and sharp spikes. Wavelets were developed
independently in the fields of mathematics, quantum physics,
electrical engineering, and seismic geology. Interchanges between
these fields during the last decades have led to many new wavelet
applications such as image compression, turbulence, human vision,
radar and earthquack prediction.
In this course the students will get the
basic mathematical knowledge related to wavelets, and will be acquainted
with the simplest wavelet algorithms. What is more important, we
expect that as a result of the course the students will be able to
study independently new methods and algorithms related to wavelets.
The course is comprehensible for the students starting from the third
year of studies. We assume that the students have some preliminary
knowledge in Fourier analysis, at least on the level of "Matematikk
4". The main facts from Fourier analysis will be
repeated at the beginning of the course.
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Last modified: Thu Jun 6 13:50:29 MEST 2002
