Orthogonal Matched Wavelets with Vanishing Moments: A Sparsity Design Approach
نویسندگان
چکیده
منابع مشابه
Two-dimensional orthogonal wavelets with vanishing moments
We investigate a very general subset of two-dimensional, orthogonal, compactly supported wavelets. This subset includes all the wavelets with a corresponding wavelet (polyphase) matrix that can be factored as a product of factors of degree-1 in one variable. In this paper we consider in particular wavelets with vanishing moments. The number of vanishing moments that can be achieved increases wi...
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AbstructWe investigate a very general subset of 2-D, orthogonal, compactly supported wavelets. This subset includes all the wavelets with a corresponding wavelet (polyphase) matrix that can be factored as a product of factors of degree-1 in one variable. In this paper, we consider, in particular, wavelets with vanishing moments. The number of vanishing moments that can be aichieved increases wi...
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We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct multivariate biorthogonal wavelets with any general dilation matrix and arbitrary order of vanishing moments. Examples are provided to illustrate the general theory and the advantages of the algorithms. §
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An iterative scheme for constructing compactly supported orthonormal (o.n.) multi-wavelets with vanishing moments of arbitrarily high order is established. Precisely, let φ = [φ1, · · · , φr] be an r-dimensional o.n. scaling function vector with polynomial preservation of order (p.p.o.) m, and ψ = [ψ1, · · · , ψr] an o.n. multiwavelet corresponding to φ, with two-scale symbols P and Q, respecti...
متن کاملOn Construction of Multivariate Wavelets with Vanishing Moments
Wavelets with matrix dilation are studied. An explicit formula for masks providing vanishing moments is found. The class of interpolatory masks providing vanishing moments is also described. For an interpolatory mask, formulas for a dual mask which also provides vanishing moments of the same order and for wavelet masks are given explicitly. An example of construction of symmetric and antisymmet...
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ژورنال
عنوان ژورنال: Circuits, Systems, and Signal Processing
سال: 2017
ISSN: 0278-081X,1531-5878
DOI: 10.1007/s00034-017-0716-1