Lecture by Lecture Topics

Week	Topics & Reading Assignments	Notes
Week of 01/11	Topics: Introduction and Review of Fourier Transform, Definition of Vector Space, Basis
Week of 01/18	Topics: Time-Frequency general properties, Short-Time Fourier Transform
Week of 01/25	Topics: Instantaneous Frequency and Quadratic Distributions	HW 1 due 01/26
Week of 02/01	Topics: Wigner Distribution
Week of 02/08	Topics: Cohen’s class of distributions	HW 2 due 02/09
Week of 02/15	Topics: Orthogonal Wavelet Bases, Nested Subspaces, Scaling Function	Review Paper 1 due 02/18
Week of 02/22	Topics: Filterbanks, Wavelet Functions	HW 3 due 02/23 Take-home exam
Week of 03/01	Topics: Wavelet Design	Project proposal due
Week of 03/08	Spring Break	No Class
Week of 03/15	Topics: Filterbank Implementation, Biorthogonal Wavelets	HW 4 due 03/18
Week of 03/22	Topics: Extension to 2D	Review Paper 2 due 03/25
Week of 03/29	Topics: Wavelet Packet Transform and Local Cosine Bases	HW 5 due 04/01
Week of 04/05	Topics: Signal Approximation and Estimation, Denoising
Week of 04/12	Topics: Overcomplete Dictionaries: Adaptive Best Basis Selection, Matching Pursuit	HW 6 due 04/15
Week of 04/19	Topics: Applications and Extensions of Wavelets: Compression, Compressed Sensing	Review Paper 3 due 04/22
Week of 04/26		Project presentations
Week of 05/03	Final Exam Week	Final project report due on 05/06