References
Code, Programs
Papers
Barnes, 1974, Tables of bias functions https://tf.nist.gov/general/pdf/11.pdf
Benkler, Lisdat, Sterr, On the relation between uncertainties of weighted frequency averages and the various types of Allan deviations. Metrologia, Volume 52, Number 4, 2015. https://doi.org/10.1088/0026-1394/52/4/565 or https://arxiv.org/abs/1504.00466
S. BREGNI, Fast Algorithms for TVAR and MTIE Computation in Characterization of Network Synchronization Performance. http://home.deib.polimi.it/bregni/papers/cscc2001_fastalgo.pdf
Least square estimation of phase, frequency and PDEV https://arxiv.org/abs/1604.01004
S. T. Dawkins, J. J. McFerran and A. N. Luiten, “Considerations on the measurement of the stability of oscillators with frequency counters,” in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 54, no. 5, pp. 918-925, May 2007. https://doi.org/10.1109/TUFFC.2007.337
Dobrogowski & Kasznia Real-time Assessment of Allan Deviation and Time Deviation 2007 IEEE International Frequency Control Symposium Joint with the 21st European Frequency and Time Forum https://doi.org/10.1109/FREQ.2007.4319204
Greenhall & Riley, “UNCERTAINTY OF STABILITY VARIANCES BASED ON FINITE DIFFERENCES” 35th Annual Precise Time and Time Interval (PTTI) Meeting https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20050061319.pdf
D.A. Howe and T.N. Tasset THEO1: CHARACTERIZATION OF VERY LONG-TERM FREQUENCY STABILITY http://tf.nist.gov/general/pdf/1990.pdf
Howe, Beard, Greenhall, Riley, A TOTAL ESTIMATOR OF THE HADAMARD FUNCTION USED FOR GPS OPERATIONS 32nd PTTI, 2000 https://apps.dtic.mil/dtic/tr/fulltext/u2/a484835.pdf
D.A. Howe and F. Vernotte, “Generalization of the Total Variance Approach to the Modified Allan Variance,” Proc. 31 st PTTI Meeting, pp. 267-276, Dec. 1999. https://tycho.usno.navy.mil/ptti/1999papers/paper22.pdf
David A. Howe, The total deviation approach to long-term characterization of frequency stability, IEEE tr. UFFC vol 47 no 5 (2000) http://dx.doi.org/10.1109/58.869040
Kasdin, N.J., Walter, T., “Discrete simulation of power law noise [for oscillator stability evaluation],” Frequency Control Symposium, 1992. 46th., Proceedings of the 1992 IEEE, pp.274,283, 27-29 May 1992 http://dx.doi.org/10.1109/FREQ.1992.270003
NIST Special Publication 1065 https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50505
1139-2008 - IEEE Standard Definitions of Physical Quantities for Fundamental Frequency and Time Metrology - Random Instabilities http://dx.doi.org/10.1109/IEEESTD.2008.4797525
KLTS: A rigorous method to compute the confidence intervals for the Three-Cornered Hat and for Groslambert Covariance https://arxiv.org/abs/1904.05849
Confidence Intervals and Bias Corrections for the Stable32 Variance Functions W.J. Riley, Hamilton Technical Services http://www.wriley.com/CI2.pdf
Riley,W.J. et al., Power law noise identification using the lag 1 autocorrelation 18th European Frequency and Time Forum (EFTF 2004) https://ieeexplore.ieee.org/document/5075021
W.J.Riley, “THE CALCULATION OF TIME DOMAIN FREQUENCY STABILITY” http://www.wriley.com/paper1ht.htm
The Omega Counter, a Frequency Counter Based on the Linear Regression https://arxiv.org/abs/1506.05009
The Companion of Enrico’s Chart for Phase Noise and Two-Sample Variances https://arxiv.org/abs/2201.07109
The Enrico’s Chart for Phase Noise and Two-Sample Variances https://zenodo.org/records/7691686
S. Stein, Frequency and Time - Their Measurement and Characterization. Precision Frequency Control Vol 2, 1985, pp 191-416. http://tf.boulder.nist.gov/general/pdf/666.pdf
SESIA I., GALLEANI L., TAVELLA P., Application of the Dynamic Allan Variance for the Characterization of Space Clock Behavior, http://dx.doi.org/10.1109/TAES.2011.5751232
Ilaria Sesia and Patrizia Tavella, Estimating the Allan variance in the presence of long periods of missing data and outliers. 2008 Metrologia 45 S134 http://dx.doi.org/10.1088/0026-1394/45/6/S19
F. Vernotte, “Variance Measurements”, 2011 IFCS & EFTF http://www.ieee-uffc.org/frequency-control/learning/pdf/Vernotte-Varience_Measurements.pdf
The Parabolic Variance (PVAR): A Wavelet Variance Based on the Least-Square Fit https://ieeexplore.ieee.org/document/7323846 or https://arxiv.org/abs/1506.00687
Three-Cornered Hat versus Allan Covariance http://rubiola.org/pdf-articles/conference/2016-IFCS-Three-cornered.pdf
Three-Cornered Hat and Groslambert Covariance: A first attempt to assess the uncertainty domains https://arxiv.org/abs/1810.01530
Response and Uncertainty of the Parabolic Variance PVAR to Non-Integer Exponents of the Power Law https://arxiv.org/pdf/2005.13631.pdf