• DocumentCode
    186072
  • Title

    Coupling theory for fluctuating spurs in oscillators

  • Author

    Underhill, Michael J.

  • Author_Institution
    Underhill Res. Ltd., Lingfield, UK
  • fYear
    2014
  • fDate
    19-22 May 2014
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    A new fundamental theory of `coupled processes´ is here applied to be able to explain and to some extent predict the observed instability and spectrum fluctuations of LC and crystal oscillators. The outcome is a `spectrum coupling´ theory which is based on the concept of coupled energy exchange between spectrum components. The origin of the coupling can be said to be `energy conservation´ as in the First Law of Thermodynamics. The coupling process is found to have hysteresis and to be time irreversible. These two factors can be considered to the origin of the instabilities of spur components observed in the spectra of LC and crystal oscillators.
  • Keywords
    LC circuits; circuit stability; crystal oscillators; joining processes; thermodynamics; First Law Of Thermodynamics; LC oscillator; coupled energy exchange; crystal oscillator; energy conservation; observed instability; spectrum coupling theory; spectrum fluctuation spurs; Amplitude modulation; Couplings; Fluctuations; Integrated circuit modeling; Limiting; Noise; Oscillators; electromagnetic coupling; oscillator fluctuation theory; spectrum coupling; time spectrum instabilities;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Frequency Control Symposium (FCS), 2014 IEEE International
  • Conference_Location
    Taipei
  • Type

    conf

  • DOI
    10.1109/FCS.2014.6860008
  • Filename
    6860008