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Discussion of precise time and frequency measurement

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Re: [time-nuts] over-determined clock solution

JG
Joseph Gwinn
Sun, Jun 26, 2016 2:29 PM

On Sat, 25 Jun 2016 22:00:25 -0400, time-nuts-request@febo.com wrote:

Message: 3
Date: Sat, 25 Jun 2016 10:07:30 -0400
From: Steve steve65@suddenlink.net
To: Discussion of precise time and frequency measurement
time-nuts@febo.com
Subject: [time-nuts] over-determined clock solution
Message-ID: 9d1c7e89-c192-36bc-8f93-7ebac3d293d9@suddenlink.net
Content-Type: text/plain; charset=utf-8; format=flowed

The phrase "over-determined clock solution" is used in the Trimble
Thunderbolt user manual in describing operation of the Thunderbolt GPS
receiver. The manual does not discuss the phrase in any detail,
appearing to assume the reader understands its meaning. An internet
search on "over-determined clock solution" did not turn up any
substantive hits.

What does "over-determined clock solution" mean?

Thanks.

Steve, K8JQ

End of time-nuts Digest, Vol 143, Issue 41


As others have said, it means that there are more satellites than the
minimum required to compute a fix.  The minimum for a full fix is four,
to cover x, y, z, and t.

The term "over determined" comes from Linear Algebra, and this is the
best place to look.

I am partial to Intro to Linear Algebra, 5th edition, by Gilbert
Strang:
http://www.wellesleycambridge.com/images/linearalgebra5_Front.jpg.
Strang is a MIT Math Prof, and his lectures are all available gratis on
the MIT website.

The classic application leading to an over determined linear system is
least-squared fitting.

Joe Gwinn

On Sat, 25 Jun 2016 22:00:25 -0400, time-nuts-request@febo.com wrote: > > Message: 3 > Date: Sat, 25 Jun 2016 10:07:30 -0400 > From: Steve <steve65@suddenlink.net> > To: Discussion of precise time and frequency measurement > <time-nuts@febo.com> > Subject: [time-nuts] over-determined clock solution > Message-ID: <9d1c7e89-c192-36bc-8f93-7ebac3d293d9@suddenlink.net> > Content-Type: text/plain; charset=utf-8; format=flowed > > The phrase "over-determined clock solution" is used in the Trimble > Thunderbolt user manual in describing operation of the Thunderbolt GPS > receiver. The manual does not discuss the phrase in any detail, > appearing to assume the reader understands its meaning. An internet > search on "over-determined clock solution" did not turn up any > substantive hits. > > What does "over-determined clock solution" mean? > > Thanks. > > Steve, K8JQ > > End of time-nuts Digest, Vol 143, Issue 41 > ****************************************** As others have said, it means that there are more satellites than the minimum required to compute a fix. The minimum for a full fix is four, to cover x, y, z, and t. The term "over determined" comes from Linear Algebra, and this is the best place to look. I am partial to Intro to Linear Algebra, 5th edition, by Gilbert Strang: <http://www.wellesleycambridge.com/images/linearalgebra5_Front.jpg>. Strang is a MIT Math Prof, and his lectures are all available gratis on the MIT website. The classic application leading to an over determined linear system is least-squared fitting. Joe Gwinn