Wavelet subspaces with an oversampling property
نویسندگان
چکیده
منابع مشابه
Oversampling in Wavelet Subspaces
Recently, several extensions of classical Shannon sampling theory to wavelet subspaces have been reported. This paper is devoted to uniform and periodic nonuniform oversampling in wavelet subspaces. Specifically, we provide a stability analysis and we introduce a technique for calculating the condition number of wavelet subspace sampling operators. It is shown that oversampling results in impro...
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We find necessary and sufficient conditions for (shifted) oversampling expansions to hold in wavelet subspaces. In particular, we characterize scaling functions with the (shifted) oversampling property. We also obtain L and L∞ norm estimates for the truncation and aliasing errors of the oversampling expansion.
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متن کاملOn the Oversampling of Affine Wavelet Frames
Abstract. The properties of oversampled affine frames are considered here with two main goals in mind. The first goal is to generalize the approach of Chui and Shi to the matrix oversampling setting for expanding, lattice-preserving dilations, whereby we obtain a new proof of the Second Oversampling Theorem for affine frames. The Second Oversampling Theorem, proven originally by Ron and Shen vi...
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We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix oversampling of semi-orthogonal Parseval wavelet frames and the additional shift invariance gain of the core subspace.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1993
ISSN: 0019-3577
DOI: 10.1016/0019-3577(93)90021-p