Which is funny, because to know you're higher/faster than allowed you need to calculate that from GPS data
In practice, not sure how this is achieved, but for speed this may even be a limitation of the circuit (for example, if you can't compensate for the doppler effect at that speed or has to add some other processing - still, the doppler effect should be small)
1000 knots is still +/- 1.5 Mach (at sea level) so Concorde and fighter jets should use a special GPS (but this is very fast)