MA8104 Wavelets, Fall 2013

General information

Tid og sted

  • Mandag 9:15-11:00, rom 922 SB2
  • Onsdag !4:15-16:00 rom 922 SB2

First lecture: Onsdag 04.09

Textbook

Our main books:

  • A Wavelet Tour of Signal Processing, by S.Mallat.
  • Foundations of Time-Frequency Analysis, by K.Groechenig
  • A First course in wavelets with Fourier analysis, by A.Bogges and F.J.Narcowich

Lecture notes and/or offprints of the corresponding sources will be provided for each lecture.

Faglærer

* Yurii Lyubarskii

  • E-post: Yura (at) math.ntnu.no
  • Tlf: (735)935 26
  • Kontor: rom 954, Sentralbygg II, 9. etasje, Gløshaugen.

Messages

19.08 Information meeting will take place on August, 22, 14:15-15:00,room 922, SB2

Tentative plan

  • Introduction
  • Haar wavelets
  • Multiresolutional analysis
  • Orthogonal wavelets
  • Image compression, jpeg
  • Compactly supported wavelets
  • Continuous wavelet transform
  • Edge detection
  • Uncertainty principle
  • Gabor analysis

In case time allows we will discuss application of wavelets to scattering algorithms, sparse representations, and newral networks.

Lecture plan

  • Week 36: Introduction.
  • Week 37: Haar wavelets, multiresolution analysis (Bogges & Narcovich, Ch. 4-5)
2013-09-11, Yurii Lyubarskii