The Double-Density Discrete Wavelet Transform
I.W. Selesnick. "The Double Density Discrete Wavelet Transform." In A. Petrosian and F. G. Meyer, editors, Wavelets in Signal and Image Analysis: From Theory to Practice. Kluwer, 2001.
Download the reprint as a PDF file.
MATLAB programs to reproduce the results in the chapter:
MATLAB programs to implement required design steps:
- wframe.m - filter design for the double-density DWT
- sfact.m - spectral factorization
- maxflatI.m - maximally flat filter
- scalfn.m - scaling function computation
- wletfn.m - wavelet function computation
- ShowFrame.m - display wavelets and filters
- chck.m - check perfect reconstruction conditions
- makez.m - helper function
- sfactK.m - modified spectral factorization
- up.m - up sampling
- daub.m - design of Daubechies filter
MATLAB programs to implement forward and inverse transforms:
Email selesi@taco.poly.edu about the programs.