• DocumentCode
    1178938
  • Title

    Comments on "A curiosum concerning discrete time convolution" (by E.B. Hall and G.L. Wise)

  • Author

    Figueiras-Vidal, Anfbal R.

  • Author_Institution
    ETSI Telecomunicacion, Univ. Politecnica de Madrid, Spain
  • Volume
    39
  • Issue
    6
  • fYear
    1991
  • fDate
    6/1/1991 12:00:00 AM
  • Firstpage
    1426
  • Abstract
    It is stated that the necessary and sufficient conditions originally considered in the above-named work (see ibid., vol.38, no.6, p.1058-9, 1990) to get an identically zero result when convolving two nonzero absolutely summable sequences is that these sequences have nonoverlapping Fourier spectra, and that there are infinitely many nowhere zero sequences verifying this condition.<>
  • Keywords
    series (mathematics); spectral analysis; curiosum; discrete time convolution; necessary conditions; nonoverlapping Fourier spectra; nonzero absolutely summable sequences; nowhere zero sequences; spectral analysis; sufficient conditions; Bismuth; Convolution; Deconvolution; Filtering theory; Fourier series; Fourier transforms; Spectral shape; Speech; Sufficient conditions; Telecommunication standards;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.136550
  • Filename
    136550