Fractional Difference Prewhitening in Atomic Clock Modeling

L. Schmidt, L. Breakiron, C. Ekstrom

Abstract:	A new approach to atomic clock classification has been enabled by the application of long-memory, or fractionally integrated, noise constructs. While the spectral properties of the long-memory noises are consistent with the historical 1/f a approach, they also allow a range of estimation strategies, in both spectral and time domains, for the classification of atomic clock behavior. These fractionally integrated noises are analyzed and applied to atomic timescales in this research, with particular emphasis on a prewhitening technique using fractional differencing which allows the separation of clock noise autocorrelation from clock rate and drift. Results from simulation studies show the utility of the fractional differencing approach both for simple fractionally integrated processes, and more complex processes which are more characteristic of atomic clock noise.
Published in:	Proceedings of the 34th Annual Precise Time and Time Interval Systems and Applications Meeting December 3 - 5, 2002 Hyatt Regency Reston Town Center Reston, Virginia
Pages:	473 - 479
Cite this article:	Schmidt, L., Breakiron, L., Ekstrom, C., "Fractional Difference Prewhitening in Atomic Clock Modeling," Proceedings of the 34th Annual Precise Time and Time Interval Systems and Applications Meeting, Reston, Virginia, December 2002, pp. 473-479.
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