[time-nuts] Modified Total Deviation calculation

[John Miles]

If you'd like to make the C source available, I'll look at building an
incremental version...?

-- john, KE5FX

> -----Original Message-----
> From: time-nuts-bounces at febo.com [mailto:time-nuts-bounces at febo.com]On
> Behalf Of Magnus Danielson
> Sent: Monday, January 18, 2010 7:10 PM
> To: Tom Van Baak; Discussion of precise time and frequency measurement
> Subject: Re: [time-nuts] Modified Total Deviation calculation
>
>
> Hi!
>
> Just to let people know...
>
> Tom Van Baak wrote:
> >> TOTdev  0.2922318781 0.0913474326 0.0340653025
> >> MTOTdev 0.2303857898 0.0555288598 0.0195467513
> >> HTOTdev 0.2093297293 0.0958776504 0.0305163951
> >
> >> The MTOTdev numbers according to page 118 (of PDF, page number 108
> >> according to the printed pagenumbers) should be
> >>
> >> Modified Total Dev 2.418528e-01 6.499161e-02 2.287774e-02
> >>
> >> Do anyone happend to have an implementation (in source) of MTOTdev at
> >> hand giving the NIST SP1065 numbers?
> >>
> >> Please note that W. Riley has about the same document in his Handbook,
> >> and it reflects the same number. I would also suspect that a STABLE32
> >> run would give those numbers.
> >
> > Almost but not quite; Stable32 gives:
> >
> > Tot Dev (1,10,100) 2.9223e-01, 9.1347e-02, 3.4065e-02
> > Mod Tot Dev (1,10,100) 2.0664e-01, 5.5529e-02, 1.9547e-02
> > Had Tot Dev (1,10,100) 2.9439e-01, 9.6148e-02, 3.0504e-02
> >
> > I don't use total deviation here myself but I'll look into it for you.
>
> With the kind assistance of Tom, we where able to get the answer. The
> values given as results in the table on page 118 of NIST SP1065 had been
> bias-adjusted with 1/sqrt(0.73) to overcome the bias. My numbers now
> correlated with that table for MTOTDEV and TTOTDEV.
>
> I can now continue with other algorithms.
>
> Many thanks goes to Tom and for Bill Riley to provide the answer!
>
> Cheers,
> Magnus
>
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