• DocumentCode
    2588133
  • Title

    Does Allan variance determine the spectrum?

  • Author

    Greenhall, C.A.

  • Author_Institution
    Jet Propulsion Lab., Pasadena, CA, USA
  • fYear
    1997
  • fDate
    28-30 May 1997
  • Firstpage
    358
  • Lastpage
    365
  • Abstract
    The phase-noise spectrum determines the Allan variance by a well-known integral formula. It is shown here that unique inversion of this formula is not possible in general because the mapping from spectrum to Allan variance is not one-to-one. A necessary and sufficient condition for two distinct phase spectra to have the same Allan variance is given
  • Keywords
    circuit noise; integral equations; phase noise; spectral analysis; Allan variance; first difference variation; integral formula; inversion; mapping; necessary and sufficient condition; nonstationary model; notation; octave variance; phase spectra; phase-noise spectrum; stationary FM; structure functions; terminology; Frequency modulation; Laboratories; Low-frequency noise; Oscillators; Phase modulation; Phase noise; Propulsion; Stability; Sufficient conditions; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Frequency Control Symposium, 1997., Proceedings of the 1997 IEEE International
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-3728-X
  • Type

    conf

  • DOI
    10.1109/FREQ.1997.638568
  • Filename
    638568