DEMO_WAVELETS - Wavelet filter banks

Description

This demo exemplifies the use of the wavelet filter bank trees. All representations use "least asymmetric" Daubechies wavelet orthonormal filters 'sym8' (8-regular, length 16).

DWT representation

The filter bank tree consists of 11 levels of iterated 2-band basic wavelet filter bank, where only the low-pass output is further decomposed. This results in 12 bands with octave resolution.

8-band DWT representation

The filter bank tree (effectively) consists of 3 levels of iterated 8-band basic wavelet filter bank resulting in 22 bands. Only the low-pass output is decomposed at each level.

Full Wavelet filter bank tree representation

The filter bank tree depth is 8 and it is fully decomposed meaning both outputs (low-pass and high-pass) of the basic filter bank is plot further. This results in 256 bands linearly covering the frequency axis.

Full Wavelet filter bank tree representation

The same case as before, but symmetric nearly orthogonal basic filter bank is used.

Full Dual-tree Wavelet filter bank representation

This is a 2 times redundant representation using Q-shift dual-tree wavelet filters.