Multi-rate systems

Combined lecture and tutorial classes : 4.00 h
Tutorial classes : 5.33 h

1.00

MEGRET Rémi - Responsible

third year module

This class deals with multi-rate systems. Such systems consider signals at several sampling frequencies (multi-resolution). They can be seen nowadays in various application, such as the now weel known JPEG2000 norm, which is based on wavelet decomposition. The gaussian pyramid is another exemple of a multi-rate approach that improves the robustness of image analysis systems. Those approaches share the common base of the digital signal theory and linear filtering.

1. Sampling
   • Temporal and frequential point of view
   • Up- and downsampling
     
2. Image pyramids
   • Gaussian and laplacian pyramids
   • Reconstruction
   • Application to image enhancement and fusion
     
3. Filter-banks
   • Perfect reconstruction
   • QMF filters
     
4. Wavelets
   
   • Time/frequency analysis
   • Orthogonal wavelets
   • Analysis and synthesis multiresolution frameworks
   • Application to image compression, JPEG2000

1. Traitement numerique du signal
2. Programmation Matlab

Continuous assessment and written exam