SF2702 Wavelets 6.0 credits

Wavelets

Wavelets as a tool for coding of audio and image signals, noise reduction and diagnostics.

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

Content and learning outcomes

Course contents *

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.

Intended learning outcomes *

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.

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites *

SF1629 Differential equations and transforms II, or equivalent knowledge.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

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

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • 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.

Other requirements for final grade *

Project (PRO; 6 hp).

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

No information inserted

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2702

Offered by

SCI/Mathematics

Main field of study *

Mathematics

Education cycle *

Second cycle

Add-on studies

No information inserted

Ethical approach *

  • 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.