[time-nuts] 3-Cornered Hat fails with negative variances, is there anything I can to to improve?
Erik Kaashoek
erik at kaashoek.com
Sat Oct 15 11:47:19 UTC 2022
After measuring and calculating the ADEV of three oscillators [1] the
TAU files where created using Stable32 and the 3 TAU files where used to
performed a 3-Cornered Hat variance analysis with this result:
3-Cornered Hat Separation of Variances
A-B Stability Data: RbvsRg.TAU
A-C Stability Data: OCXOvsRG.TAU
B-C Stability Data: OCXOvsRb.TAU
  Tau      Sigma A   Sigma B   Sigma C
2.000e-03 5.784e-10 Negative  4.732e-10
4.000e-03 2.957e-10 Negative  2.267e-10
8.000e-03 1.640e-10 Negative  1.123e-10
1.600e-02 1.096e-10 Negative  5.694e-11
3.200e-02Â 1.089e-10Â 3.416e-11Â 2.631e-11
6.400e-02Â 1.235e-10Â 3.859e-11Â 2.168e-11
1.280e-01Â 1.382e-10Â 3.659e-11Â 2.083e-11
2.560e-01Â 1.538e-10Â 5.818e-11Â Negative
5.120e-01Â 1.718e-10Â 5.025e-11Â Negative
1.024e+00Â 1.745e-10Â 5.221e-11Â Negative
2.048e+00 1.822e-10 Negative  7.644e-11
4.096e+00 1.685e-10 Negative  7.813e-11
8.192e+00 1.519e-10 Negative  8.429e-11
1.638e+01 1.523e-10 Negative  8.295e-11
As far as I understand the negative variances are because the
calculation method fails.
The method did calculate the variance for the least stable source (A)
Am I correct to assume the difference between B and C is too small for
this method to separate their contribution?
Or is there anything I can/should to to separate B and C
[1] http://athome.kaashoek.com/time-nuts/DMTD/3-hat_input.png
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