THE MALLAT ALGORITHM OF ORTHONORMAL WAVELETS WITH DILATION FACTOR a

Hong Yuan Zheng · Journal of Mathematics · 2007

In this paper, we study the Mallat algorithm of orthonormal wavelets with dilation factor a. Using the theory of a multiplicity a multiresolution analysis, we get the decomposition and reconstruction algorithm of orthonormal wavelets. The matrix representation of Mallat algorithm corresponding to Haar wavelet is given, which simplifies the computation.

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