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DEMO_WFBT - Auditory filterbanks built using filterbank tree structures

Description

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:

  1. Auditory filterbank, approximately dividing the frequency band into intervals reminisent of the bask scale.
  2. 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.

demo_wfbt_1.png

Frequency responses of the auditory filterbank.

Both axes are in logarithmic scale.
demo_wfbt_2.png

TF plot of the test signal using the auditory filterbank.

demo_wfbt_3.png

Frequency responses of the musical filterbank.

Both axes are in logarithmic scale.
demo_wfbt_4.png

TF plot of the test signal using the musical filterbank.

References:

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 ]