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- W2108937556 abstract "We present new multiwavelet transforms of multiplicity 2 for manipulation of discrete-time signals. The transforms are implemented in two phases: (1) pre(post)-processing, which transforms the scalar signal into a vector signal (and back) and (2) wavelet transforms of the vector signal. Both phases are performed in a lifting manner. We use the cubic interpolatory Hermite splines as a predicting aggregate in the vector wavelet transform. We present new pre(post)-processing algorithms that do not degrade the approximation accuracy of the vector wavelet transforms. We describe two types of vector wavelet transforms that are dual to each other but have similar properties and three pre(post)processing algorithms. As a result, we get fast biorthogonal algorithms to transform discrete-time signals that are exact on sampled cubic polynomials. The bases for the transform are symmetric and have short support." @default.
- W2108937556 created "2016-06-24" @default.
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- W2108937556 date "2002-03-01" @default.
- W2108937556 modified "2023-09-26" @default.
- W2108937556 title "Lifting scheme for biorthogonal multiwavelets originated from Hermite splines" @default.
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- W2108937556 doi "https://doi.org/10.1109/78.984720" @default.
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