• DocumentCode
    1402892
  • Title

    Comments on "Sinc interpolation of discrete periodic signals

  • Author

    Candocia, Frank ; Principe, Jose C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL, USA
  • Volume
    46
  • Issue
    7
  • fYear
    1998
  • fDate
    7/1/1998 12:00:00 AM
  • Firstpage
    2044
  • Lastpage
    2047
  • Abstract
    In a recent paper by T. Schanze (see ibid., vol.43, p.1502-3, 1995) the convolution of the sinc kernel with the infinite sequence of a periodic function was expressed as a finite summation. The expression obtained, however, is not numerically stable when evaluated at or near integer values of time. This correspondence presents a numerically stable formulation that is equivalent to the results reported in the above-cited paper and that, when sampled, is also shown to be equivalent to the inverse discrete Fourier transform (IDFT).
  • Keywords
    Fourier analysis; convolution; discrete Fourier transforms; interpolation; numerical stability; signal sampling; IDFT; convolution; discrete periodic signals; finite summation; infinite sequence; inverse discrete Fourier transform; numerically stable formulation; periodic function; signal samples; sinc interpolation; sinc kernel; Attenuation; Band pass filters; Channel bank filters; Error analysis; Filter bank; Gain; Image coding; Interpolation; Quantization; Signal processing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.700979
  • Filename
    700979