Wavelet frames and shift-invariant subspaces of periodic functions
نویسندگان
چکیده
منابع مشابه
Frames, Modular Functions for Shift-invariant Subspaces and Fmra Wavelet Frames
We introduce the concept of the modular function for a shiftinvariant subspace that can be represented by normalized tight frame generators for the shift-invariant subspace and prove that it is independent of the selections of the frame generators for the subspace. We shall apply it to study the connections between the dimension functions of wavelet frames for any expansive integer matrix A and...
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Various results on constructing wavelets, multiwavelets and wavelet frames for periodic functions are reviewed. The orthonormal and Riesz bases as well as frames are constructed from sequences of subspaces called multiresolution analyses. These studies employ general frequency-based approaches facilitated by functions known as orthogonal splines and polyphase splines. While the focus is on the ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2006
ISSN: 1063-5203
DOI: 10.1016/j.acha.2005.09.001