• DocumentCode
    1127287
  • Title

    Fourier Transform and Ambiguity Function of Piecewise Polynomial Functions

  • Author

    Polge, R.J.

  • Author_Institution
    Department of Electrical Engineering, University of Alabama, P. O. Box 1247, Huntsville, AL 35807
  • Issue
    4
  • fYear
    1977
  • fDate
    7/1/1977 12:00:00 AM
  • Firstpage
    403
  • Lastpage
    408
  • Abstract
    A general systematic procedure is described for computing the Fourier transform and the ambiguity function of waveforms that are piecewise polynomial. The procedure can be implemented by hand or programmed for execution by a digital computer. The main advantage of the technique is that integration is replaced by a finite summation. Examples include the computation of characteristic function, moments, and the ambiguity function of an amplitude modulated linear FM signal.
  • Keywords
    Aerodynamics; Amplitude modulation; Electrons; Fourier transforms; Phase locked loops; Phase noise; Polynomials; Random variables; Stochastic processes; Viterbi algorithm;
  • fLanguage
    English
  • Journal_Title
    Aerospace and Electronic Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9251
  • Type

    jour

  • DOI
    10.1109/TAES.1977.308478
  • Filename
    4101833