MM526: Fourier analysis and practical applications (5 ECTS)
STADS: 13007701Level
Bachelor course
Teaching period
The course is offered in the autumn semester.
1st quarter
Teacher responsible
Email: achim@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Monday | 10-12 | U27a | 35-41 | |
| Common | I | Wednesday | 12-14 | U27a | 35-41 | |
| Common | I | Friday | 12-14 | U24 | 35 | |
| Common | I | Friday | 12-14 | U27a | 36-39,41 | |
| S1 | TE | Thursday | 12-14 | U27a | 40 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal. 1. kvartal.
Prerequisites:
None
Academic preconditions:
The material from MM505 Linear algebra and MM508 Topology I is assumed known.
Course introduction
To give the students a mathematical as well as practical knowledge of Fourier analysis and its applications, and to introduce the students to numerical calculations using MATLAB.
Expected learning outcome
At the end of the course the student is expected to be able to:
- give sufficient conditions for convergence of Fourier series.
- describe the Fourier sum as the best approximation in a orthogonal system.
- implement filter techniques for noise reduction in digital signals.
- describe how the 2-dimensional discrete cosine transform is used in image compression.
Fourier series and convergence, discrete Fourier transform (DFT), fast Fourier transform (FFT), sound, noice and filtration, discrete cosine transform (DCT), compression (JPEG), signal processing, interpolation, MATLAB.
Literature
- Meddeles ved kursets start.
Website
This course uses e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
Mandatory assignments, pass/fail, internal evaluation by teacher.
Re.exam after 2nd quarter.
The re-exam may be a different type than the ordinary exam.
Expected working hours
The teaching method is based on three phase model.
Forelæsninger: 24 timer
Eksaminatorietimer/opgaveregning: 7 timer
Laboratorieøvelser: 7 timer
Educational activities
Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
