Title :
On the moments of the scaling function ψ0
Author :
Gopinath, R.A. ; Burrus, C.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
The authors derive relationships between the moments of the scaling function ψ0(t) associated with multiplicity M, K-regular, compactly supported, orthonormal wavelet bases, which are extensions of the multiplicity 2, K-regular orthonormal wavelet bases constructed by I. Daubechies (1988). One such relationship is that the square of the first moment of the scaling function (ψ0(t)) is equal to its second moment. This relationship is used to show that uniform sample values of a function provide a third order approximation of its scaling function expansion coefficients
Keywords :
Fourier transforms; polynomials; signal processing; multiplicity; orthonormal wavelet bases; scaling function; third order approximation; uniform sample values; Convolution; Discrete wavelet transforms; Equations; Fourier transforms; Polynomials; Signal analysis; Wavelet analysis;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230060
