Hello Graham,

20 years ago I started to use GPS-technique and found the same mysteries as you 
do now.

I learned that there a two main reason for the variation of location data:

Atmosperic density variations cause short term runtime variations and
Different relativ positions of satellites cause long term triangulation errors.

So I sampled at a constant location over some days the position data delivered 
from a gps-receiver taken every 10 seonds.

First I plotted the data and found that there were local shorttime-variations 
around a center, which was wandering slowly over the plot-area. The 
shorttime-fluctuations were most in a range of +-5m, the longtime-area showed - 
if I remember right - a radius from +-20m.

After that I started to calculate time-series of mean-values over different 
minute-intervalls and learned by plotting the result again, how to smooth my 
data best.

Nowadays you will of course get smaller short-time variations using the more 
intelligent gps-receiver of an iphone, but it probably gives you an impression 
about what is going on there.

Richard.



> 
> Message: 17
> Date: Wed, 6 May 2020 15:09:16 +0200
> From: Graham Samuel <livf...@mac.com>
> To: How to use LiveCode <use-livecode@lists.runrev.com>
> Subject: Re: Has anyone experience of GPS on iPhone?
> Message-ID: <074980d0-f69d-45af-9891-5ceb351f3...@mac.com>
> Content-Type: text/plain;     charset=utf-8
> 
> Bill, I think you are confirming that there is some mystery here. There are a 
> lot of apps that seem to get location, and measures derived from location, 
> almost completely right, whereas I am having trouble doing so with what must 
> be the same essential data.
> 
> Take the problem of measuring the length of a country walk (I mean a walk not 
> in a straight line). My basic approach is to process locationChanged 
> messages, which unsurprisingly are triggered every time the GPS-measured 
> location changes. So as not to get overwhelmed with very small, frequent 
> changes, I only process a locationChanged message every 3 seconds - I know at 
> least one other app that does this. As a person probably walks up to two 
> metres a second, this fits in with what we know about accuracy, I think. The 
> method is very simple. Every time we respond to a locationChanged message, we 
> work out the straight line distance delta as in
> 
>  delta = (where we were 3 seconds ago) - (where we are now)
> 
> Ignoring the sign of the result, of course. This can be done by Haversine or 
> similar algorithms for measuring short distances on the Earth?s surface - 
> it?s essentially a Pythagoras calculation. Then we add up all the deltas and 
> we know how far we walked on the trip with a fair if not complete degree of 
> accuracy - easy! 
> 
> Only there are complications. Of course if any delta is zero, it doesn?t 
> contribute to the trip; but what if it?s **nearly** zero - is it sensible to 
> ignore very small deltas on the grounds that they are due to GPS wobble, or 
> should we put them all in? 
> 
> Here?s what happened when I tried to do it: first I calculated the deltas to 
> two decimal places, and I found that I was badly underestimating the distance 
> walked; so then I pushed up the accuracy of the calculation to 5 decimal 
> places. Sure enough, the measured route got longer in kilometers, until I 
> noticed that if I simply put the phone on the grass and left it, so it wasn?t 
> moving at all, in about 45 minutes I?d accumulated a completely spurious half 
> a kilometre of walking! The small variations in the GPS signal (what I call 
> the wobble) must have been responsible, since there was no other source of 
> data but the GPS reading.
> 
> How then to avoid either under- or over-estimating the trip distance? Plenty 
> of apps have done it but I just can?t see how, although I keep tinkering with 
> the parameters. Of course I can never forget that my scripting might just be 
> plain wrong, but so far my incremental method hasn?t worked sufficiently 
> well, in the sense that if run the app and choose to walk in an exact 
> straight line, I can compare a single measure of distance from the starting 
> point with my integral approach. So far the result is not even close. As you 
> say, intensive Internet searches are called for.
> 
> I wish all this were easier.
> 
> Graham
> 


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