1. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 1 EE591U: Wavelets and Filter Banks Xin Li LDCSEE, Fall 2008

2. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 2 EE591U General Information Lectures and office hours Meeting Time: MWF 10:00-10:50 in ESB 449 Office Hours: Mondays 2:00-3:00pm in ESB 939 Fragment Minutes: 15 minutes before and after each lecture Contact information Instructor: xin.li@mail.wvu.edu For email submission of assignments, please use your MIX account

3. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 3 Texts Prerequisites EE463: Introduction to Digital Signal Processing or equivalent G. Strang and T Nguyen, Wavelets and Filter Banks, ISBN:0961408871 Alternative: M Vetterli, J Kovacevic, Wavelets and subband coding (available in the library and also at http://infoscience.epfl.ch/record/33934/files/)

4. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 4 Working load - 10 assignments (4 paper-based, 6 computer-based) - One midterm exam and one final project Grading Midterm exam 20% Assignments 50% Auditing policy: you need to turn in all the assignments Final project 25% Class participation 5% (not just in classroom but also in the cyber space)

5. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 5 Wavelet Course Blog http://masterxinli.wordpress.com/category/teaching/wavelets/ Why do I decide to use Blog in my teaching? - Make teaching more interactive - Easier to manage than HTML-based - More reliable and accessible So in addition to finish your weekly assignment, it is a good idea to visit the class blog from time to time and make your comments or ask your questions there (remember they count as class participation).

6. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 6 History of Wavelets When did the first wavelet paper appear? Who invented/discovered wavelets? What applications in science and engineering have wavelets found in the past decades? How do YOU plan to learn wavelets?

7. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 7 Timeline (from Wiki) First wavelet (Haar wavelet) by Alfred Haar (1909) Haar waveletAlfred Haar waveletAlfred Haar Since the 1950s: George Zweig, Jean Morlet, Alex Grossmann George ZweigJean MorletAlex GrossmannGeorge ZweigJean MorletAlex Grossmann Since the 1980s: Yves Meyer, Stéphane Mallat, Ingrid Daubechies, Ronald Coifman, Victor Wickerhauser, Martin Vetterli, PP Vaidyanathan... Yves MeyerStéphane MallatIngrid DaubechiesRonald CoifmanVictor WickerhauserYves MeyerStéphane MallatIngrid DaubechiesRonald CoifmanVictor Wickerhauser

8. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 8 Application Domain Science –Physics (I. Daubecies’ original motivation) –Geology (Morlet is a geophysicist working on oil prospection) –PDE (heard about it, don’t know details, can you help?) Engineering –Signal processing, computer vision/graphics, network modeling, signal modulation, financial engineering, chemical engineering

9. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 9 Two Sides of the Same Coin How come a single tool can be so versatile? –The main objective for you to learn from this class What are the risks of blindly believing in wavelets? –The main pitfall you need to be aware after taking this class

10. EE591U Wavelets and Filter Banks Copyright Xin Li 2008 10 The Common Theme our description of data/signal depends on the scale it is acquired/analyzed.