Orthogonal multi-wavelets from matrix factorization
TL;DR: This work is mainly interested in vector-valued filter banks having matrix factorization and indicates how to choose block central symmetric matrices to construct multi-wavelets with suitable accuracy.
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Abstract: Accuracy of the scaling function is very crucial in wavelet theory, or correspondingly, in the study of wavelet filter banks. We are mainly interested in vector-valued filter banks having matrix factorization and indicate how to choose block central symmetric matrices to construct multi-wavelets with suitable accuracy.
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References
Ten Lectures on Wavelets
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Approximation Orders of FSI Spaces in L2(Rd)
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TL;DR: In this article, a more explicit formulation of the approximation order of a Finitely generated Shift-Invariant (FSI) subspace was given, in terms of the Fourier transform of generators of the subspace.
Multivariate Filter Banks Having Matrix Factorizations
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Lattice Structure for Paraunitary Linear–phase Filter Banks with Accuracy
TL;DR: A general method of constructing filter banks which ensure second and third accuracy of its corresponding scaling function is proposed, and examples with second andThird accuracy are given.
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