# Complex Morlet function and DWT

I have an application that I must use a complex Morlet wavelet function (cmorfb-fc), I can run CWT (continuous wavelet transform) and it's fine, but I want to run DWT(Discrete wavelet transform) with this complex Morlet(cmorfb-fc) function too. then I want to compare the DWT and CWT results.
so Does anyone can help and explain, how can I implement DWT of complex Morlet (with the known Mallat filters)?

• This is not possible. See this very similar question. – André Bergner Oct 18 '13 at 11:49
• @AndréBergner ohhh bad times- Thank you for your answer. – SAH Oct 18 '13 at 12:19
• You got an answer for an ancient question. Is your question solved, or you expect more contributions? – Laurent Duval Jul 16 '17 at 14:53

So, Morlet cannot be critically discretized with 2-band (dyadic), as you already guessed, as you wanted to compare CWT and DWT. However, multi-band filter banks are an option to build orthogonal counterparts of "Morlet"-like design. Malvar wavelets, Modulated complex lapped transforms or Lapped orthogonal transforms are instances (see a Panorama of wavelets for references), and their can be further decomposed across scales as $M$-band wavelets.