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논문 기본 정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제27권 제1호
- 발행연도
- 2009.1
- 수록면
- 69 - 78 (10page)
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초록· 키워드
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The accuracy of wavelet approximation at resolution h = $2^{-k}$ to a smooth function f is limited by O($h^M$), where M is the number of vanishing moments of the mother wavelet ${\psi}$; that is, the approximation order of wavelet approximation is M - 1. High accuracy points of wavelet approximation are of interest in some applications such as signal processing and numerical approximation. In this paper, we prove the scaling and translating properties of high accuracy points of wavelet approximation. To illustrate the results in this paper, we also present two examples of high accuracy points of wavelet approximation.
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참고문헌 (5)
참고문헌 신청
I. Daubechies / 1988 / Orthonormal bases of compactly supported wavelets / Comm. Pure Appl.Math 41:909~996
I. Daubechies / 1992 / Ten lectures on wavelets, volume 61 of CBMS-NSF Regional Conference Series in Applied Mathematics / Society for Industrial and Applied Mathematics (SIAM)
S. G. Mallat / 1989 / Multiresolution approximations and wavelet orthonormal bases of L2(R) / Trans. Amer. Math. Soc 315:69~87
G. Strang / 1989 / Wavelets and dilation equations: a brief introduction / SIAM Rev 31:614~627
W. Sweldens / 1994 / Quadrature formulae and asymptotic error expansions for wavelet approximations of smooth functions / SIAM J. Numer. Anal 31:1240~1264
I. Daubechies / 1992 / Ten lectures on wavelets, volume 61 of CBMS-NSF Regional Conference Series in Applied Mathematics / Society for Industrial and Applied Mathematics (SIAM)
S. G. Mallat / 1989 / Multiresolution approximations and wavelet orthonormal bases of L2(R) / Trans. Amer. Math. Soc 315:69~87
G. Strang / 1989 / Wavelets and dilation equations: a brief introduction / SIAM Rev 31:614~627
W. Sweldens / 1994 / Quadrature formulae and asymptotic error expansions for wavelet approximations of smooth functions / SIAM J. Numer. Anal 31:1240~1264
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