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Biorthogonal generalization of Meyer wavelets

Construction of a class of symmetric and bandlimited dual wavelet pairs that provide biorthogonal decompositions is presented. The procedure first produces a pair of scaling functions that are biorthogonal duals of each other. The wavelet Fourier transforms are then constructed by piecing together sections of the Fourier transforms of the two scaling functions. An example is provided. The construction can be viewed as a generalization of the Meyer class of wavelets to the biorthogonal case.