ECE 64800 - Wavelet, Time-Frequency, and Multirate Signal Processing
Course Details
Credits: 3
Areas of Specialization:
- Communications, Networking, Signal & Image Processing
Counts as:
Normally Offered:
Spring - odd years
Catalog Description:
Advanced topics in signal processing including time-frequency analysis, multiscale edge detection, wavelet bases and filter banks, and techniques for approximation, estimation, and compression using wavelets.
Required Text(s):
- A Wavelet Tour of Signal Processing , 2nd Edition , S.G. Mallat , Academic Press , 1999 , ISBN No. 0-12-466606-X
Recommended Text(s):
None.
Lecture Outline:
| Weeks | Topic |
|---|---|
| 2.0 | 1. Review Fourier Transform Fourier Series Sampling |
| 1.0 | 2. Multirate Signal Processing Quadrature Mirror Filters Sampling Rate Conversion Interpolation and Decimation Filters |
| 2.0 | 3. Time-Frequency Analysis and Methods Windowed Fourier Transform and Spectograms Continuous Wavelet Transform and Scalograms Instantaneous Frequency Quadratic Time-Frequency Distributions Other Time-Frequency Representations |
| 1.0 | 4. Multiscale Edge Detection Detection of Singularities with Wavelets Reconstruction of Signals from Multiscale Edges |
| 3.0 | 5. Wavelet Bases and Filter Banks Orthogonal Wavelet Bases Filter Banks Wavelets from Filters Biorthogonality |
| 3.0 | 6. Approximation, Estimation, Compression Wavelet Packets and Best Basis Search Basis Pursuit Matching Pursuit Wavelet Thresholding Transform Coding |
| 2.0 | 7. Advanced Topics |
| 1.0 | 8. Exams |
Assessment Method:
none