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In this paper, we derive a characterization of orthonormal balanced
multiwavelets of order p in terms of the continuous moments of the
multiscaling function Φ. As a result, the continuous moments satisfy the discrete polynomial
preserving properties of order p (or degree p-1) for orthonormal balanced multiwavelets. We derive polynomial reproduction formula of degree p-1 in terms of continuous moments for orthonormal balanced multiwavelets of order p. Balancing of order p implies that the
series of scaling functions with the discrete-time monomials as
expansion coefficients is a polynomial of degree p-1. We derive an
algorithm for computing the polynomial of degree p-1.
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참고문헌 (11)
참고문헌 신청
C. Chui / 2005 / Balanced multi-wavelets in Rs / Math. Comp. 74 (251) : 1323 ~ 1344
F. Keinert / 2004 / Wavelets and multiwavelets, Studies in Advanced Mathematics / Chapman & Hall/CRC
G. Plonka / 1998 / From wavelets to multiwavelets. Mathematical methods for curves and surfaces / Innov. Appl. Math., Vanderbilt Univ. Press : 375 ~ 399
I. Selesnick / 1998 / Multiwavelet bases with extra approximation properties / IEEE Trans. Signal Process 46 (11) : 2898 ~ 2908
I. Selesnick / 1999 / Interpolating multiwavelet bases and the sampling theorem / IEEE Trans. Signal Process 47 (6) : 1615 ~ 1621
F. Keinert / 2004 / Wavelets and multiwavelets, Studies in Advanced Mathematics / Chapman & Hall/CRC
G. Plonka / 1998 / From wavelets to multiwavelets. Mathematical methods for curves and surfaces / Innov. Appl. Math., Vanderbilt Univ. Press : 375 ~ 399
I. Selesnick / 1998 / Multiwavelet bases with extra approximation properties / IEEE Trans. Signal Process 46 (11) : 2898 ~ 2908
I. Selesnick / 1999 / Interpolating multiwavelet bases and the sampling theorem / IEEE Trans. Signal Process 47 (6) : 1615 ~ 1621
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