Multiresolution analysis, Haar bases, and self-similar tilings of Rn
نویسندگان
چکیده
منابع مشابه
Haar - Type Multiwavelet Bases and Self - Affine Multi - Tiles
Abstract. Gröchenig and Madych showed that a Haar-type wavelet basis of L2(Rn) can be constructed from the characteristic function χΩ of a compact set Ω if and only if Ω is an integral self-affine tile of Lebesgue measure one. In this paper we generalize their result to the multiwavelet settings. We give a complete characterization of Haar-type scaling function vectors χΩ(x) := [χΩ1 (x), . . . ...
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Grr ochenig and Madych showed that a Haar-type wavelet basis of L 2 (R n) can be constructed from the characteristic function of a compact set if and only if is an integral self-aane tile of Lebesgue measure one. In this paper we generalize their result to the multiwavelet settings. We give a complete characterization of Haar-type scaling function vectors (x) := 1 (x); : : : ; r (x)] T , where ...
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عنوان ژورنال:
- IEEE Trans. Information Theory
دوره 38 شماره
صفحات -
تاریخ انتشار 1992