[time-nuts] Name of integral of timing residual

[Tim Shoppa]

I looked at AN1279 and other HP Smartclock documents that were written for
the telco holdover specs, and they always put a zero axis on the frequency
offset, but I was surprised that for example fig A4 of AN1279 seems to be
suppressing the zero axis for the time error. So they seemed to be
unconcerned with the integral you speak of.

Tim N3QE


On Thu, Apr 20, 2017 at 1:17 AM, Jim Palfreyman <jim77742 at gmail.com> wrote:

> Folks,
>
> I'm after the formal name of something (if it exists), and this group, if
> any, should know.
>
> Consider a plot of a timing residual vs time. Say a watch against a maser,
> residual=watch-maser.
>
> Now if I now plot the cumulative sum (think integral) of the residual,
> that's going to give me an overall view of how the clock is performing over
> time. (If it helps, think of PID controllers and how they work in the "I"
> part.)
>
> Now if you look at *motion* of an object over time, and you integrate its
> acceleration you get velocity, integrate again you get displacement.
> Integrate again and you get "absement" and again you get "abcity" (I only
> recently discovered these terms).
>
> Does the integral of a timing residual have a name, and does the integral
> of *that* have a name as well?
>
> Any thoughts?
>
>
> Jim Palfreyman
> _______________________________________________
> time-nuts mailing list -- time-nuts at febo.com
> To unsubscribe, go to https://www.febo.com/cgi-bin/
> mailman/listinfo/time-nuts
> and follow the instructions there.
>