Python code for calculating Allan deviation and related statistics: https://github.com/aewallin/allantools
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!