ION Technical Content
Discrete Simulation of Power Law Noise
| Abstract: | A method for simulating power law noise in clocks and oscillators is presented based on modification of the spectrum of white phase noise, then Fourier transforming to the time domain. Symmetric real matrices are introduced whose traces–the sums of their eigenvalues–are equal to the Allan variances, in overlapping or non-overlapping forms, as well as for the corresponding forms of the modified Allan variance. Diagonalization of these matrices leads to expressions for the probability distributions for observing a variance at an arbitrary value of the sampling or averaging interval, and hence for estimating confidence in the measurements. Comparison with flicker-like noise from a spectrum analyzer is discussed. |
| Published in: |
Proceedings of the 44th Annual Precise Time and Time Interval Systems and Applications Meeting November 26 - 29, 2012 Hyatt Regency Reston Town Center Reston, Virginia |
| Pages: | 289 - 300 |
| Cite this article: | Ashby, Neil, "Discrete Simulation of Power Law Noise," Proceedings of the 44th Annual Precise Time and Time Interval Systems and Applications Meeting, Reston, Virginia, November 2012, pp. 289-300. |
| Full Paper: |
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