Generalization of the Total Variance Approach to the Modified Allan Variance

D.A. Howe, F. Vernotte

Abstract: The Total variance approach involves periodically extending a data sequence beyond its normal measurement duration and in such a way that a particular time statistic is expected to have the same value with extended data as without. For those statistics which estimate components of broadband noise processes, the approach can significantly reduce the spread or uncertainty in the result. We describe a Total variance approach for improving the confidence of the estimation of the modified Allan variance (Mvar) for the five common integer power-low noises and which simultaneously has low, easily removable bias. We have found in simulation studies that if a relection-only extension procedure is applied to Mvar’s individual estimates, we obtain a new estimate of Mvar which exhibits an increase in equivalent degrees of freedom at mid- and long-term integration times.
Published in: Proceedings of the 31th Annual Precise Time and Time Interval Systems and Applications Meeting
December 7 - 9, 1999
Marriott's Laguna Cliffs Resort
Dana Point, California
Pages: 267 - 276
Cite this article: Howe, D.A., Vernotte, F., "Generalization of the Total Variance Approach to the Modified Allan Variance," Proceedings of the 31th Annual Precise Time and Time Interval Systems and Applications Meeting, Dana Point, California, December 1999, pp. 267-276.
Full Paper: ION Members/Non-Members: 1 Download Credit
Sign In