In mathematics and engineering it's common to use the word "phase" to mean 
angle, with units of degrees or radians, often modulo 360 or 2 pi. In the time 
& frequency world, the word "phase" almost always refers to a time difference 
(time error), with units of time (seconds), and unbounded.

To further complicate things, one can sometimes see "wrap" when measuring time 
error using a time interval counter on signals that are high in repetition rate 
or too different in frequency. The most common form of this is if you measure 
two slightly drifting 10 MHz signals using time interval mode; the numbers you 
get will always be 0 to 99 ns. In that case you have to manually unwrap the 
cycles to get a true time error series.

This is normal. But it can be a hassle and introduce experimental ambiguity so 
that's why most people avoid the problem by just using lower frequencies for 
their comparison, like 1 kHz or 1 Hz (1PPS). Even that doesn't guarantee no 
wrapping in all cases. The other trick is to artificially advance the start or 
retard the stop channel to avoid negative numbers or wrapping.

In your case, as long as you are comparing at 10 MHz and your references are 
not closely locked in phase your counter will give you numbers that wrap. You 
must take care of this before you apply the numbers to an ADEV calculation or 
use them to compute frequency.

Computing phase deltas does not help, since a phase wrap just turns into a 
frequency spike.

/tvb

----- Original Message ----- 
From: "Bob Stewart" <[email protected]>
To: "Discussion of precise time and frequency measurement" <[email protected]>
Sent: Sunday, February 02, 2014 8:31 PM
Subject: Re: [time-nuts] Sample "R" script for ADEV under Linux wanted


"That code, like most ADEV calculations, assumes you have phase data..."

In my case, the phase data wraps at each DAC change. Do I need to unwrap it, or 
change it to delta values? I haven't read enough about ADEV to get a feel of 
what I want, or what this group means when someone say ADEV of xx. I suspect 
that I need phase deltas from sample to sample to get the allan deviation of 
the phase changes? Since mine wraps, I'm not sure if an ADEV even means 
anything.

Bob





>________________________________
> From: Tom Van Baak <[email protected]>
>To: Discussion of precise time and frequency measurement <[email protected]> 
>Sent: Sunday, February 2, 2014 10:23 PM
>Subject: Re: [time-nuts] Sample "R" script for ADEV under Linux wanted
> 
>
>>I suggest to use the TVB's
>> http://www.leapsecond.com/tools/adev1.c
>> C source and derive your script from it... but first, your GPSDO has
>> to put out the time interval error samples or you have a reference and
>> a TIC to measure your GPSDO (better this last setup).
>    
>Correct. That code, like most ADEV calculations, assumes you have phase data, 
>and so it uses the "x" form of 
>the formula. If the data is period or frequency then you use the "y" form of 
>the formula. See: http://www.wriley.com/paper2ht.htm for details on both 
>equations.
>
>See also: http://leapsecond.com/tools/adev_lib.c which computes ADEV, MDEV, 
>and HDEV from phase.
>
>/tvb
>


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