I often plot both ADEV and MDEV, too. The difference between them indicates the 
amount of white phase noise there is in the measurement (the sum of DUT and REF 
and phase meter). You'll see for some standards, especially at longer tau, 
there is little or no difference. 

Right, MDEV is almost always less, since it artificially "removes" noise. Of 
course the noise is still there in the electrons, but it is not reported by 
this statistic. However, the sometimes legitimate reason for doing this is 
two-fold:

First, an MDEV plot allows one to distinguish white from flicker phase noise 
types; something plain ADEV cannot do (both noise types show up as slope -1 
with ADEV). As such, MDEV is a more powerful noise diagnostic than ADEV. But 
you can't necessarily treat the numbers as true, live performance. In order for 
MDEV to do its magic it must (mathematically) remove noise that you know is 
there.

Second, there are some cases where the user plans to use the oscillator in a 
system that removes white noise by averaging against an equal or better 
standard. In this case it's nice to know ahead of time how much white noise 
there is to remove; so using MDEV is more informative than ADEV.

For example, if you plan to compare two cesium time standards by collecting 
long-term data, then post-averaging, and plotting time stability once an hour 
or day, then MDEV is fair game. But if you plan to use the standard for any 
sort of real-time system then ADEV comes closer to representing the actual 
frequency stability that you will see.

MDEV tells you how little instability you would have left after you squeeze out 
all the white noise. Every orange has juice inside, but to measure juice or 
pulp you destroy the original orange.

Note a similar thing happens with ADEV and HDEV. If you plan to use an 
oscillator in a system that methodically removes linear frequency drift (like a 
smart GPSDO) then HDEV is a better (cheaper) indicator than ADEV.

In summary, use the measurement statistic (and bandwidth) in the lab that best 
matches how the oscillator will actually be used in real life. 
 
I too would like to compare records made over many years. One problem is that 
phase meters can have different bandwidths and so, especially at short term, 
it's hard to know how much of the reported [in]stability is due to the DUT or 
REF or the filtering before, in, or after the phase detector itself. Most 
meters have a tau- or noise- dependent bias.

/tvb (iPhone4) SF

On Feb 18, 2013, at 11:59 AM, cdel...@juno.com wrote:

> Ok I've been plotting my oscillators for years using Allan Deviation.
> 
> That way all my records can be compared easily.
> 
> Is there any advantage to using Modified Allan Deviation?
> 
> It seems to give a better stability plot but that just seems to be
> cheating!
> 
> If I plot both ways what do the differences mean?
> 
> Thanks,
> 
> Corby
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