> Is this some elemental effect of integration (sqrt(n) or some such), or am > I seeing the effects of bandwidth and/or bias-functions or other esoterica? >
FWIW the python "colorednoise" (aka. Kasdin-Walter) repo has a figure: https://github.com/aewallin/colorednoise and code that generates the figure: https://github.com/aewallin/colorednoise/blob/master/example_noise_slopes.py there are probably two issues to look at: 1. If you simply integrate with cumsum() the PSDs will cross at a frequency of 1/(2*pi) (not 1 Hz) (assuming a sample rate of one). The PSDs will cross at the nyquist frequency if you integrate with x2 = sqrt(2*pi)*cumsum(x1) 2. the ADEV pre-factors for different noise-types are not the same. If you want ADEV curves that cross at tau=1 you have to tune the PSDs specifically for that. The pre-factors for ADEV are e.g. here: https://github.com/aewallin/colorednoise/blob/master/colorednoise.py#L69 or ieee-1139: https://ieeexplore.ieee.org/document/4797525 or Dawnkins et al https://ieeexplore.ieee.org/document/4225303 Anders > _______________________________________________ time-nuts mailing list -- time-nuts@lists.febo.com To unsubscribe, go to http://lists.febo.com/mailman/listinfo/time-nuts_lists.febo.com and follow the instructions there.