GPS

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Danoff

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This is the ask danoff questions about GPS thread.

I get the feeling that there is a lot of misunderstanding about GPS out there.

Could it get overloaded?
One big misunderstanding is that many people seem to think that the GPS system could get over crowded like cell phone systems. This is incorrect. The GPS system broadcasts signals down to earth, the receivers use those signals to figure out where they are. There is no return broadcast. The satellites don’t receive any information from you, so they don’t care if there are two or two billion users. Incidentally, that means that the satellites don’t know where you are, only your receiver does. So thoughts of the government tracking you with these satellites are misplaced.

Could it be jammed by the enemy?

Yes, but it’s hard, especially on military frequencies (they have their own GPS frequencies that are better than ours).

How does that little black box figure out where I am?

Basically there are 4 unknowns. X position, Y position, Z position and time - your little receiver doesn’t know what time it is accurately enough on its own, the satellites have atomic clocks. So you need 4 signals which basically say when they were broadcast. From that, you can figure out how long it took the signal to get to you (even though you don’t quite know what time it is), and figure out the distance between you and the 4 satellites. That’s 4 equations and 4 unknowns. So you solve it. Of course there are dependencies in the math so you have to use a least squares iterative technique to zero in on the solution. But that’s basically how it’s solved.

How accurate is it?

Depends heavily on the way you are using it and what axis you’re talking about. Horizontally I think it’s like 10-20 feet accurate for civilians. Altitude is more like 50 feet (that’s because the satellites are above you and you have less “resolution” in that direction).

I’ve heard that it can give sub-centimeter accuracy?

Yup, people have devised a method to get an incredible amount of accuracy out of only the carrier signal itself. It’s some pretty cool stuff. You have to maintain lock on the satellites though and you have to have some cool equipment and probably a post processing unit for the raw data.

So who cares about GPS, all I get is my position?

Actually you also get time once it has solved the 4 equations. That means that your little GPS receiver gives you time accurate to within an atomic clock!!! For the price of a few hundred bucks that’s a big deal if you’re a research institute. Think about the ability to coordinate with that kind of time precision around the world. Position is important too if you want to know where you plane, car, experiment, or missile is.


So what questions (if any) do you have about GPS that I can try to answer? Did you find this interesting at all?
 
Interesting! I didn't know the satellites had atomic clocks.
 
Interesting! I didn't know the satellites had atomic clocks.

Yup, most (if not all) of them are cesium or rubidium based. They're kept within tolerances by ground stations. They had to be adjusted before they were launched to run at the appropriate speed so that the relativistic effects of the orbital velocity could be taken into account.
 
I know a bunch of guys who use GPS receivers to test speedometer accuracy. Will they be getting a proper reading?
 
I know a bunch of guys who use GPS receivers to test speedometer accuracy. Will they be getting a proper reading?

It depends on what accuracy they're looking for.

Garmin reports <15 meter accuracy for position and 0.05 meter/sec steady state for velocity at steady state for their receivers.

That's probably good enough to tune your speedometer. Velocity is measured from the doppler shift of the signal from the satellite rather than determining change in position. Because of the nature of the errors in GPS (multipath, ionospheric and others), the position will instantaneously jump 10 meters or so and the corresponding velocity would exceed the speed of light. Even an average would get messed up pretty badly.

I don't think velocity is affected by selective availablity (SA) either, so that accuracy should maintain.

SA is an ability the military has to introduce a bias in the satellite signal on the civilian frequencies that reduces tha accuracy of the position lock. Military receivers know what the bias will be and remove it, civilian receivers will then be accurate to within 100 meters or so horizontally. That's to prevent the enemy from using GPS to aid their military, but like I said, I don't think it affects velocity.

I know that the military turned on SA just before operations in Iraq, they may have turned it back off now.
 
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