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When I useed Mathematica,If found many Transforms in the list of Discrete Wavelet Transforms.

For example:

  1. discrete wavelet transform (DWT)
  2. stationary wavelet transform (SWT)
  3. lifting wavelet transform (LWT)
  4. discrete wavelet packet transform (DWPT)
  5. stationary wavelet packet transform (SWPT)

I always use DWT,and found it can be used in many cases such as de-noising,filtering data,embedding watermarking,detecting the discontinuity and so on.

Is it different cases use different transforms?So how to know it?

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