Construction of Multiwavelets on an Interval
نویسندگان
چکیده
منابع مشابه
Construction of Multiwavelets on an Interval
Boundary functions for wavelets on a finite interval are often constructed as linear combinations of boundary-crossing scaling functions. An alternative approach is based on linear algebra techniques for truncating the infinite matrix of the Discrete Wavelet Transform to a finite one. In this article we show how an algorithm of Madych for scalar wavelets can be generalized to multiwavelets, giv...
متن کاملMultiwavelets on the Interval
Smooth orthogonal and biorthogonal multiwavelets on the real line with their scaling function vectors being supported on [−1, 1] are of interest in constructing wavelet bases on the interval [0, 1] due to their simple structure. In this paper, we shall present a symmetric C orthogonal multiwavelet with multiplicity 4 such that its orthogonal scaling function vector is supported on [−1, 1], has ...
متن کاملBiorthogonal Multiwavelets on the Interval: Cubic Hermite Splines
Starting with Hermite cubic splines as the primal multigenerator, first a dual multigenerator onR is constructed that consists of continuous functions, has small support, and is exact of order 2. We then derive multiresolution sequences on the interval while retaining the polynomial exactness on the primal and dual sides. This guarantees moment conditions of the corresponding wavelets. The conc...
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ژورنال
عنوان ژورنال: Axioms
سال: 2013
ISSN: 2075-1680
DOI: 10.3390/axioms2020122