• DocumentCode
    3562041
  • Title

    A sampling theorem for shift-invariant subspace generated by several scaling functions in L2(R)

  • Author

    Shi, Shu ; Jicheng, Jin ; Haiyan, Yu ; Xieping, Gao

  • Author_Institution
    Dept. of Math., Xiangtan Univ., China
  • Volume
    1
  • fYear
    1996
  • Firstpage
    24
  • Abstract
    We construct the kernel of orthogonal projection in a shift-invariant subspace S(σ1, σ2, ..., σm) generated by several scaling functions, and obtain the sampling theorem; by using the kernel of the orthogonal projection, we get the dual bases of the interpolation basis functions. We extend the results in the space generated by one scaling function to a more general space. In addition, these results have a more practical value
  • Keywords
    interpolation; signal sampling; dual bases; interpolation basis functions; orthogonal projection kernel; sampling theorem; scaling functions; shift-invariant subspace; Finite element methods; Interpolation; Kernel; Mathematics; Multiresolution analysis; Sampling methods; Signal processing; Signal resolution; Signal sampling; Wavelet analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signal Processing, 1996., 3rd International Conference on
  • Print_ISBN
    0-7803-2912-0
  • Type

    conf

  • DOI
    10.1109/ICSIGP.1996.566864
  • Filename
    566864
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3562041