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There is a nice tutorial: Time-Frequency Toolbox For Use with MATLAB tthat compares many transformations, notably continuous wavelet transform and Wigner and its avatars. Basically, the CWT belongs to atomic linear representations (a decomposition onto wavelet atoms), while Wigner-Ville is an energy distribution (to split the energy of signals over time and ...


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The quincunx lattice wavelet you describe is also called (as far as I know) the red-black wavelet transform. You can find one illustrated description in The Red-Black Wavelet Transform by Geert Uytterhoeven and Adhemar Bultheel. Apparently, the transform is not orthogonal, but biorthogonal: Biorthogonality: The splitting in red and black or blue and yellow ...


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