Title :
The third-difference approach to modified Allan variance
Author :
Greenhall, Charles A.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
fDate :
6/1/1997 12:00:00 AM
Abstract :
This study gives strategies for estimating the modified Allan variance (MVAR), and formulas for computing the equivalent degrees of freedom (EDF) of the estimators. A third-difference formulation of MVAR leads to a tractable formula for EDF in the presence of power-law phase noise. The effect of estimation stride on EDF is shown. First-degree rational-function approximations for EDF are derived, and their errors tabulated. A theorem allowing conservative estimates of EDF in the presence of compound noise processes is given
Keywords :
clocks; frequency stability; measurement standards; oscillators; phase noise; statistical analysis; time measurement; EDF; First-degree rational-function approximation; MVAR; compound noise; conservative estimates; continuous time analog; discrete time power law; drift rates; equivalent degrees of freedom; errors; estimation stride; estimators; finite difference; lower bounds; modified Allan variance; power-law phase noise; third-difference approach; tractable formula; 1f noise; Clocks; Frequency measurement; Oscillators; Phase measurement; Phase noise; Propulsion; Space technology; Stability; Time measurement;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
