Wavelets
5 credits
Syllabus, Master's level, 1MA082
This course has been discontinued.
A revised version of the syllabus is available.
- Code
- 1MA082
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Mathematics A1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 31 May 2013
- Responsible department
- Department of Mathematics
Entry requirements
120 credit points and 60 credit points Mathematics with Complex analysis and Transform methods.
Learning outcomes
In order to pass the course the student should
- be able to use the discrete Fourier transform;
- be able to describe the relation between the discrete and the
continuous Fourier transform;
- be able to compute Fourier transforms using the fast Fourier transform;
- be able to construct various wavelet bases and know how to use them as a tool for analysing functions;
- be able to describe properties of various wavelet bases;
- be familiar with multiresolution analysis;
- be able to describe computational aspects of Fourier and wavelet transforms;
- know a little about applications.
Content
The discrete Fourier transform. The fast Fourier transform. Wavelet bases for discrete and continuous variables. The Haar basis. Differentiable wavelet bases. Compact wavelet bases. Multiresolution analysis. A little about applications.
Instruction
Lectures and computer laboratory work.
Assessment
Written examination at the end of the course combined with assignments given during the course.