• DocumentCode
    921422
  • Title

    Time-sequency-limited signals in finite Walsh transforms (Corresp.)

  • Author

    Tam, Le Dinh Chon ; Goulet, Roger

  • Volume
    20
  • Issue
    2
  • fYear
    1974
  • fDate
    3/1/1974 12:00:00 AM
  • Firstpage
    274
  • Lastpage
    276
  • Abstract
    The relation between time-limiting and sequency-band-limiting in finite Walsh transforms is considered. It is found that optimum solutions (energy ratio equal to unity) are a nontrivial linear combination of [TM/N] successive orthogonal block pulses of duration R = NM^{-1} . Optimum solutions for bandpass signals are pointed out. Extension to the continuous-time domain is also discussed.
  • Keywords
    Walsh transforms; Automation; Estimation theory; Integral equations; Least squares approximation; Linear systems; Multidimensional systems; Nonlinear filters; Stochastic processes; Time varying systems; Transforms;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1974.1055194
  • Filename
    1055194
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=921422