MATH 4822/5822.
Prof. Yuly Billig
Wavelets and Mathematical Methods of Digital Signal Processing
Winter term 2019

(Mathematical methods of compression of digital sound, images and video)

Topics covered:

  • Lossless Data Compression (Run-length Encoding, Entropy Encoding, Predictive Coding)
  • Continuous and Discrete Fourier Transforms. FFT
  • JPEG
  • MP3
  • Digital Filters
  • Wavelet Analysis
  • Wavelet Compression
  • MPEG
  • Pattern Recognition


    • The philosophy of this course is to balance mathematical theory with hands-on computer-based assignments with MATLAB.


    Schedule: Tue./Thu. 10:05-11:25 (Winter Term 2019)
    Pre-requisite: Linear Algebra
    Textbook: Gilbert Strang, Truong Nguen, "Wavelets and Filter Banks"


    Instructions for students who want to install Matlab on their own machine at no cost are found here


    Files for Home Assignment 1 (right-click to save):
    Dunton.bmp


    Files for Home Assignment 2 (right-click to save):
    picard.wav
    getWaves.m

    Files for Home Assignment 3 (right-click to save):
    cat.wav
    coat.wav
    coot.wav
    cot.wav
    cut.wav
    cute.wav
    keet.wav
    kit.wav
    kite.wav


    File for Home Assignment 4 (right-click to save):
    ecg.txt