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Parametrization of compactly supported orthonormal wavelets

机译:紧支撑正交小波的参数化

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摘要

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.
机译:扩展了两通道重构正交镜滤波器组的参数化,以获得离散正交小波的单个特征。尤其是,它显示了由N-1个实参参数化的,小于2N-1(其中N是偶数整数)的离散离散正交小波,每个实参取值(0,2 pi)。还给出了离散消失的正交小波的参数化,其消失矩数大于一个。

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