This demo shows two specific constructions of wavelet filterbank trees using several M-band filterbanks with possibly different M (making the thee non-homogenous) in order to approximate auditory frequency bands and a musical scale respectively. Both wavelet trees produce perfectly reconstructable non-redundant representations.
The constructions are the following:
- Auditory filterbank, approximately dividing the frequency band into intervals reminisent of the bask scale.
- Musical filterbank, approximately dividing the freq. band into intervals reminicent of the well-tempered musical scale.
Shapes of the trees were taken from fig. 8 and fig. 9 from the refernece. Sampling frequency of the test signal is 48kHz as used in the article.
F. Kurth and M. Clausen. Filter bank tree and M-band wavelet packet algorithms in audio signal processing. Signal Processing, IEEE Transactions on, 47(2):549--554, Feb 1999. [ DOI ]