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Title:
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On the Moments of the Scaling Function psi_0 |
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Author:
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Gopinath, Ramesh A.; Burrus, C. Sidney
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Type:
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Tech Report |
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Keywords:
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wavelets; scaling functions |
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Citation:
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R. A. Gopinath and C. S. Burrus, "On the Moments of the Scaling Function psi_0," None, no. CML TR91-05, 1992. |
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Abstract:
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This paper derives relationships between the moments of the scaling function psi_0(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 (psi_0(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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Date Published:
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1992-01-15 |
