Python code for calculating Allan deviation and related statistics: https://github.com/aewallin/allantools
Sample output:
Cheat-sheet (see http://en.wikipedia.org/wiki/Colors_of_noise).
| Phase PSD | Frequency PSD | ADEV |
| 1/f^4, "Black?" | 1/f^2, Brownian, random walk | sqrt(tau) |
| 1/f^3 ?, "Black?" | 1/f Pink | constant |
| 1/f^2, Brownian, random walk | f^0, White | 1/sqrt(tau) |
| f^0, White | f^2 Violet | 1/tau |
Phase PSD is frequency dependence of the the power-spectral-density of the phase noise.
Frequency PSD is the frequency dependence of the power-spectral-density of the frequency noise.
ADEV is the tau-dependence of the Allan deviation.
These can get confusing! Please comment below if I made an error!