MAGIC094: Classical Wavelet Theory

Course details


Spring 2021
Monday, January 25th to Friday, March 19th; Monday, April 26th to Friday, May 7th


Live lecture hours
Recorded lecture hours
Total advised study hours


10:05 - 10:55

Course forum

Visit the MAGIC094 forum


Developed mostly in the 1980s, wavelets provide an alternative to Fourier series with better localization properties, and have found applications in approximation, signal and image processing, areas of applied mathematics such as acoustics and electromagnetism, and also in statistics.

This course gives a non-technical introduction to wavelets, focusing on the simplest examples, such as the Haar wavelets (which go back to 1909) and the Littlewood-Paley wavelets (based on ideas from the 1930s).

It will also discuss windowed Fourier transforms and wavelet transforms, as ways of capturing local behaviour of functions/data. 


Some experience of Fourier series, Fourier transforms, and Hilbert spaces.


  1. Introduction and revision of Fourier series and transforms. (1)
  2. The Haar wavelet and the idea of a multiresolution expansion. (2)
  3. Paley-Wiener spaces, the sampling theorem, and Littlewood-Paley wavelets. (2)
  4. Riesz bases and frames. (2)
  5. Windowed Fourier transforms, Heisenberg's inequality, and wavelet transforms. (3) 


  • JP

    Prof Jonathan Partington

    University of Leeds


Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.


Coming soon

Assessment information will be available shortly.


There are currently no files for this course.

Recorded Lectures

Please log in to view lecture recordings.