논문KCI 등재
Orthogonal multi-wavelets from matrix factorization
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초록
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.
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.
참고문헌 (10)
- C. Cabrelli, "Accuracy of lattice translates of several multidimensional refinable functions", J. Approx. Theory, 95(1), pp.5~52 (1998)
- Q. H. Chen, "Multivariate filter banks having matrix factorizations", SIAM J. Matrix Anal. Appl., 25(2), pp.517~531 (2003)
- I. Daubechies, "Ten Lectures on Wavelets", CBMS-NSF Regional Conference Series in Applied Mathematics (1992), Society for Industrial and Applied Mathematics
- C. deBoor, "Approximation orders of FSI spaces in L2(Rd)", Constr. Approx., 14(4), pp.631~652 (1998)
- C. Heil, "Approximation by translates of refinable functions", Numer. Math., 73(1), pp.75~94 (1996)
- R. Q. Jia, "Approximation properties of multivariate wavelets", Math. Comp., 67(222), pp.647~665 (1998)
- Q. Lian, "Some properties on multivariate filter banks with a matrix factorization", Progr. Natur. Sci., 15(2), pp.115~125 (2005)
- G. Plonka, "Approximation order provided by refinable function vectors", Constr. Approx., 13(2), pp.221~244 (1997)
- H. Xiao, "Lattice structure for paraunitary linear-phase filter banks with accuracy", Acta Math. Sin., 22(3), pp.679~688 (2006)
- H. Xiao, "Piecewise Linear Spectral Sequences and Wavelet Filter Banks", 박사, pp.2005
관련 논문AI추천
A NOTE ON THE PARAMETRIZATION OF MULTIWAVELETS OF CL TYPEI-P Kim, S. Y. Hwang장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제1호Approximation and balancing orders for totally interpolating biorthogonal multiwavelet systems정재원, 최영우대한수학회 · 대한수학회보2011 · 제48권 제6호NEW LOOK AT THE CONSTRUCTIONS OF MULTIWAVELET FRAMES김래영, 김홍오, 임재근대한수학회 · 대한수학회보2010 · 제47권 제3호Infinitude of minimally supported totally interpolating biorthogonal multiwavelet systems with low approximation orders정재원, 최영우강원경기수학회 · 한국수학논문집2013 · 제21권 제3호Characterization of orthonormal high-order balanced multiwavelets in terms of moments권순걸대한수학회 · 대한수학회보2009 · 제46권 제1호Point Values and Normalization of Two-Direction Multiwaveletsand their Derivatives권순걸, Fritz Keinert경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호
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