On the Moments of the Scaling Function psi_0

Date
1992-05-20
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Abstract

This paper derives relationships between the moments of the scaling function psi0(t) associated with multiplicity M, K-regular, compactly supported, orthonormal wavelet bases [6, 5] that are extensions of the multiplicity 2, K-regular orthonormal wavelet bases constructed by Daubechies. One such relationship is that the square of the first moment of the scaling function (psi0(t)) is equal to its second moment. This relationship is used to show that uniform sample values of a function provides a third order approximation of its scaling function expansion coefficients. For the special case of M=2, the results in this paper have been reported earlier.

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Conference Paper
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Conference paper
Keywords
scaling function, M
Citation

R. A. Gopinath and C. S. Burrus, "On the Moments of the Scaling Function psi_0," 1992.

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