MATLAB: What is the difference between wavelets and framelets?

dwtframelet transform

Does Discrete Wavelet Transform and Framelet have the same algorithm??

Best Answer

Yes and no.
The discrete wavelet transform is often used as synonymous with the discrete nonredundant (critically-sampled) wavelet transform.
Framelets are redundant wavelet transforms. The Wavelet Toolbox currently features the stationary wavelet transform and the nondecimated wavelet transform which are highly-redundant framelet transforms. There are framelet decompositions with less redundancy than those two.
The CWT as implemented in a computer is also a wavelet frame decomposition.
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