Good explanation, Matthew. I suppose that means that systems that can
take advantage of the GROUND-BASED WAAS stations should perform a bit
better on the elevation question because you have another point to
calculate the triangulation/time measurements from. I have to believe
that you would need a LOT of ground-based stations for that to work or
the curvature of the earth would again get in the way of the
ground-based signals (guessing here).

On Fri, Sep 13, 2013 at 9:32 AM, Matthew Hunt <[email protected]> wrote:
> On Fri, Sep 13, 2013 at 10:13 AM, Darren Addy <[email protected]> wrote:
>
>> Elevation of location. (ASIDE: This seems to be where "all GPS units
>> exhibit a weakness" but I'm not sure why that is. According to this
>> PDF,
>> http://www.nasa.gov/centers/johnson/pdf/584738main_Wings-ch5c-pgs360-369.pdf
>> the space shuttle created topographical data sets that can give the
>> elevation for virtually any location. Perhaps it is just not built
>> into the GPS system yet, or there is no method for the GPS to "look it
>> up" and enter it into the calculations.)
>
> GPS receivers, in general, calculate elevation the same way they
> calculate position, from the difference in arrival times of the GPS
> signals. While it is conceivable to use SRTM (the Shuttle data) or
> another elevation dataset, I would be surprised of the O-GPS1 were
> doing so. (If you hoist the O-GPS1 up a flagpole or something, you
> should be able to tell.) Also, SRTM is itself somewhat coarse in terms
> of the post spacing on the ground (30 meters or worse), so I'm not
> sure if it would be an improvement or not.
>
> Why do GPS receivers do worse with elevation than with lat/lon? The
> reason is geometric. When measuring position via arrival times, you
> get the best results from having satellites all around you. If you're
> measuring your latitude, you'd like a satellite to the north, and
> another to the south. That ways if you move a meter north, you've
> decreased the distance to the north satellite by a meter, and
> increased the distance to the south satellite by a meter, and thus
> changed the difference between them by 2 meters, which is reflected in
> your difference of arrival time measurement.
>
> With elevation, the stupid earth is annoying in the way, preventing
> you from seeing a satellite beneath you. They're all above you, and
> thus somewhat correlated in the up-down direction. When you move up,
> you move closer to all of them. They're not all directly above you, so
> there is some variation to measure, but it's a harder measurement.
>
> There are various "dilution of precision" metrics that the GPS
> receiver calculates to estimate these uncertainties based on the
> geometry of the satellites at any particular time. I don't know that
> the O-GPS1 makes those visible to the user, though.
>
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