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Time-frequency Analysis

News

There is no lecture on Tuesday 03.06.2018.

Organization

  • Lectures
    • Lecturer: Dr. Frank Filbir Pfeil
    • Module Number: MA 5916
    • ECTS-Points: 9
    • Time: Tue 12:15-13:45, Th 12:15-13:45
    • Place: Room 02.08.020

Contents

  • Fourier analysis (Fourier transform, Fourier series, discrete Fourier transform, short time Fourier transform)
  • Frame theory (Garbor frames, ...)
  • Zak-Transform
  • Discrete time-frequency analysis
  • Applications (phase retrieval, speach recognition, ...)

Problem Sets

We strongly encourage you to solve the problems on the exercise sheets before attending the problem session. Ask whenever you couldn’t solve a problem. There will be no written corrections of the homework, so present your solution at the board to get feedback.

Sheet 1 for exercise class on 18. April 2018
Sheet 2 for exercise class on 25. April 2018
Sheet 3 for exercise class on 02. May 2018
Sheet 4 for exercise class on 09. May 2018
Sheet 5 for exercise class on 16. May 2018
Sheet 6 for exercise class on 23. May 2018
Sheet 7 for exercise class on 30. May 2018, new version uploaded on Monday, May 28
Sheet 8 for exercise class on 06. June 2018
Sheet 9 for exercise class on 13. June 2018
Sheet 10 for exercise class on 20. June 2018, in exercise 2 it has to be the essential infimum (not the essential supremum)
Sheet 11 for exercise class on 27. June 2018
Sheet 12 for exercise class on 04. July 2018

Literature

* Karlheinz Gröchenig, Foundations of Time-Frequency Analysis, Birkhäuser, 2001.
* Eds. P. G. Casazza and G. Kutyniok, Finite Frames: Theory and Applications, Birkhäuser, Boston, 2012.
* Audrey Terras, Fourier Analysis on Finite Groups and Applications, Cambridge University Press, 1999.
* Gerald Kaiser, A Friendly Guide to Wavelets, Birkhäuser, Boston, 2010.

-- SaraKrauseSolberg - 23 Mar 2018