• DocumentCode
    1791476
  • Title

    Orthonormal wavelet bases with rational dilation factors based on MRA

  • Author

    Zhaofeng Li

  • Author_Institution
    Coll. of Sci., China Three Gorges Univ., Yichang, China
  • fYear
    2014
  • fDate
    14-16 Oct. 2014
  • Firstpage
    1146
  • Lastpage
    1150
  • Abstract
    In many applications, wavelets with rational dilation have more expected properties such as orthogonality and interpolation than dilation 2. This paper studied the rational dilation factor p/q orthonormal wavelet bases based on multiresolution analysis, stated that the orthonormal wavelet bases should consist of p-q functions ψ1,ψ2,...,ψp-q in W0 = V1 ⊖ V0 and established a perfect reconstruction condition for the wavelet bases. In the end, we provided two examples with dilation factor 3/2 to explain our theory.
  • Keywords
    interpolation; signal resolution; wavelet transforms; MRA; multiresolution analysis; orthonormal wavelet bases; perfect reconstruction condition; rational dilation factors; Educational institutions; Fourier transforms; Image resolution; Multiresolution analysis; Signal resolution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image and Signal Processing (CISP), 2014 7th International Congress on
  • Conference_Location
    Dalian
  • Type

    conf

  • DOI
    10.1109/CISP.2014.7003953
  • Filename
    7003953
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1791476