Parametrization of compactly supported orthonormal wavelets

The parametrization of two-channel reconstruction quadrature mirror filter banks is extended to obtain a single characterization of discrete orthonormal wavelets. In particular, it is shown that discrete orthonormal wavelets of support less than 2N-1, where N is an even integer, are parametrized by N-1 real parameters, each taking values in (0, 2 pi ). A parametrization of discrete orthonormal wavelets with a number of vanishing moments greater than one is also given.<
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