• DocumentCode
    1179406
  • Title

    The factorization problem for time-limited functions and trigonometric polynomials

  • Author

    Papoulis, Athanasios

  • Volume
    25
  • Issue
    1
  • fYear
    1978
  • fDate
    1/1/1978 12:00:00 AM
  • Firstpage
    41
  • Lastpage
    45
  • Abstract
    The following form of the factorization problem is considered: Given a function g(t) vanishing for |t| > a , and with a nonnegative Fourier transform G(j\\omega ) , rind a function f(t) with energy spectrum G (j\\omega ) and such that f(t)=O outside the interval (0, a). A numerical method for determining f(t) is developed involving only the discrete Fourier series.
  • Keywords
    Convolution; Polynomials; Signal analysis; Trigonometric functions; Circuits; Convolution; Fourier series; Fourier transforms; Image analysis; Laplace equations; Mathematics; Monitoring; Polynomials; Signal analysis;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1978.1084384
  • Filename
    1084384
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1179406