• DocumentCode
    3271267
  • 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
  • Volume
    2
  • fYear
    1992
  • fDate
    10-13 May 1992
  • Firstpage
    963
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • 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
  • Type

    conf

  • DOI
    10.1109/ISCAS.1992.230060
  • Filename
    230060
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3271267