Title :
Error bars for three-cornered-hats
Author :
Ekstrom, Christopher R. ; Koppang, Paul A.
Author_Institution :
US Naval Obs., Washington, DC, USA
Abstract :
The three-cornered-hat is a procedure for extracting the stabilities of three clocks when the only available information is the time or frequency differences between the clocks. To our knowledge, there has been no method of determining a confidence interval for such a stability estimate. In this paper, we present a method for determining the number of degrees of freedom of the estimate, which allows the assignment of a confidence interval to a three-cornered-hat stability estimate. We also investigate using the total variance and biases in the three-cornered-hat estimate.
Keywords :
clocks; frequency estimation; frequency stability; frequency standards; oscillators; Allan deviation; THC; biases; clock frequency difference; clock stability estimates; clock stability three-cornered-hat extraction procedure; clock time difference; clocks; confidence interval assignment; estimate degrees of freedom determination; frequency standards; oscillators; total variance; Bars; Clocks; Data mining; Frequency estimation; Frequency measurement; Observatories; Oscillators; Stability; Testing; Timing;
Conference_Titel :
Frequency Control Symposium and PDA Exhibition, 2002. IEEE International
Print_ISBN :
0-7803-7082-1
DOI :
10.1109/FREQ.2002.1075975