Computer Simulation of the Conventional Clock Model
- 1 September 1979
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Instrumentation and Measurement
- Vol. 28 (3) , 193-197
- https://doi.org/10.1109/tim.1979.4314804
Abstract
The results of computer simulations of clocks, characterized by the power-law model of the spectral density of the normalized frequency fluctuations Sy(f) are described. The simulation generates slow fluctuations of the normalized frequency y, i.e., white (f0), flicker (f-1) and random walk (f-2) types. The two-smple Allan variance σ2y(τ) is used to test the spectral density of the generated time series. The uncertainty of the estimate as predicted by Lesage and Audoin is confirmed. Simulated clock time is obtained by integration of the sequence of normalized frequency samples у(tk, τ). The simulation of clock ensembles shows that after initial frequency equalization and synchronization, the clock times diverge, but remain normally distributed. The standard deviation of the observed clock time distribution turns out to be very close to t · σy(τ = t), confirming earlier assumptions published by Barnes et al. [2].Keywords
This publication has 8 references indexed in Scilit:
- Characterization of phase and frequency instabilities in precision frequency sources: Fifteen years of progressProceedings of the IEEE, 1978
- Models for the interpretation of frequency stability measurementsPublished by National Institute of Standards and Technology (NIST) ,1976
- Theory of oscillator instability based upon structure functionsProceedings of the IEEE, 1976
- Time and frequency :Published by National Institute of Standards and Technology (NIST) ,1974
- Characterization of Frequency Stability: Uncertainty due to the Finite Number of MeasurementsIEEE Transactions on Instrumentation and Measurement, 1973
- Characterization of Frequency StabilityIEEE Transactions on Instrumentation and Measurement, 1971
- Efficient numerical and analog modeling of flicker noise processesPublished by National Institute of Standards and Technology (NIST) ,1971
- [Back cover]Proceedings of the IEEE, 1966