SF2702 Wavelets 6.0 credits

The Haar system, filterbanks with exact reconstruction, fast implementations, multi-scale analysis and wavelet bases, linear and non-linear programming.

Application of wavelets for data compression and noise reduction of sound and images, detection and classification of signals.

Introduction to relevant real areas of application and the news development in applied harmonic analysis.

To give the students the mathematical and practical knowledge so that they will be able to

• use wavelet methods on simple problems in signal processing.
• understand the basic ideas behind some existing applications of wavelets.

SF1629 Differential equations and transforms II, or equivalent knowledge.

Jöran Bergh, Fredrik Eksetdt, Martin Lindberg: Wavelets, Studentlitteratur

If the course is discontinued, students may request to be examined during the following two academic years.

• TEN1 - Examination, 6.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Project (PRO; 6 hp).

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.