DEMO_WAVELETS Wavelet filter banks
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).
Figure 1: 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.
Figure 2: 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.
Figure 3: 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.
Figure 4: Full Wavelet filter bank tree representation
The same case as before, but symmetric nearly orthogonal basic
filter bank is used.
Figure 5: Full Dual-tree Wavelet filter bank representation
This is a 2 times redundant representation using Q-shift dual-tree
wavelet filters.
Package: ltfat