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Principles behind the GPS
| Key components of Global Positioning System |
- The satellites (up there in the sky).
- The receiver.
- Some complicated math to figure out the position.
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| The satellites |
- The original design called for 24 satellites, but now there are
more up there.
- The satellites are also known as SVs (Space Vehicles)
- Each GPS satellite transmits a signal containing three important
things -
- The pseudorandom code allows receiver to identify the
transmitting satellite
- Almanac data provides coarse orbit information,
current date, time, and a status of the satellite.
- Ephemeris data providing very precise orbit and time
information. It is only considered valid for about 30 minutes.
- Each satellite has an extremely precise atomic clock on board.
This is to provide an accurate timing to receivers.
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| The receiver |
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The receiver acquires the satellite signal, obtains the almanac
and ephemeris data from the satellites and performs the math to
calculate its position. There are various %LINK:l2-gps-device-types:GPS
receiver types% available in the consumer market. |
| The math |
The position is determined based on triangulation
- knowing each satellite position
- knowing difference between distances to each satellite
- using good clock on the receiver side (although not as good as
an atomic clock on a satellite)
- adding some error correction
we can figure out where we are. The precision of several meters can
be achieved with a consumer-grade devices given clear view of the sky. |
| Complications |
| Satellite side |
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The satellite flight path can change and a satellite position data
eventually becomes inaccurate. This causes what is
known as ephemeris errors. Ground control continuously provides
updates to the satellites, which in turn relay these updates down to
receivers. |
| Receiver side |
- Atmospheric effects - The signal is disturbed as it
passes through the atmosphere. The GPS has a built-in model to try
to compensate for this. Models of the atmosphere, accounting for the
ionosphere and the troposphere layers are used to predict the delay
of the signal passing through. Additionally, the satellites
themselves provide updates to the basic model.
- Multipath - This is when the receiver picks up signal
reflections of various terrain features, buildings and so on.
Multipath effects are more severe if the receiver is stationary or
moves slowly.
- Number and position of satellites - Less satellites
visible means worse accuracy. Typically, no GPS fix can be acquired
indoors. Additionally, there is a requirement that visible
satellites should be located at wide angles to each other. If the
visible satellites are aligned in a line, the error increases.
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