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SF2702 Wavelets 6.0 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus SF2702 (Autumn 2007–) are denoted with an asterisk ( )

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.

Literature and preparations

Specific prerequisites

SF1629 Differential equations and transforms II, or equivalent knowledge.

Recommended prerequisites

No information inserted

Equipment

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Literature

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

Examination and completion

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

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

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Opportunity to raise an approved grade via renewed examination

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Examiner

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.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

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