These
are the key concepts in this lesson. You should be able to define or
describe them after you have read this lesson, finished the assigned
reading and explored the links. You should also be able to do the
exercises and answer the questions at the end of the lesson.
- causes of error in GPS data collection
- signal degradation
- satellite geometry
- obstacles in path of signal
- range of accuracy
- differential correction
Errors
Through use of the precise clocks on the GPS satellites, and of encoded
signals transmitted by the satellites, a receiver on Earth can determine,
with some error, its distance from the satellite. With only that data and
the locations of the satellites in terms of Earth coordinates, it is known
to be on a sphere whose center is the satellite and whose radius is the
distance from the satellite to the receiver. Use of communication with
four such satellites places the receiver on the intersection of four
spheres, i.e. theoretically at a point.
At all times, the location of a satellite, in terms of Earth
coordinates, is known to the satellite. The accumulation of errors in the
estimates of distances, and estimates of the locations of the satellites,
induces errors in calculation of coordinates of the GPS receiver.
Nevertheless, GPS methods can be used to calculate useful approximations
of location of the receiver in terms of Earth coordinates. Depending on
quality of the data and of capabilities of the equipment, errors produced
vary from more than 100 meters to less than one centimeter.
The primary reason for errors in the estimates of distance from the
satellites is degradation of the signal sent from the satellite. Causes of
the degradation include atmospheric conditions, effect of satellite
location on the length of the signal path through the atmosphere,
obstacles in the signal path, and selective availability. To minimize
degradation due to atmospheric conditions, one can wait for clear, calm
weather or some degree of that, and choose satellites well above the
horizon, e.g. at angles of elevation more than 15 degrees. And satellite
location can be determined in advance in various ways, e.g. from data
easily available on the Internet. Obstacles can be worked around through
remote data collecting with the aid of measuring devices, e.g. compass,
tape, and/or electronic measuring tools.
Beyond its effect on signal quality, location of the satellites also
affects accuracy through the geometry of their locations with respect to
each other. Best estimates are obtained when the satellites used by the
receiver are scattered asymmetrically in widely different directions about
the sky and, at different angles of elevation ranging from approximately
15 degrees -- this depends on atmospheric conditions -- to approximately
70 degrees.
Selective availability is deliberate degradation of signal imposed for
reasons of national security. The degree of degradation varies with the
threat, perceived by those in control of the GPS system, posed by
unmodified GPS communication, e.g. as a source of information for enemies
of the United States. Removal of selective availability is now being
considered.