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GPS Q&A: Industry experts answer reader's GPS questions Q. I've heard that GPS receivers can compute either two-dimensional or three-dimensional position data. Is this correct? Are they the same in terms of accuracy? A.John C. Bohlke, Sokkia Corp.: GPS receivers are capable of computing either two-dimensional or three-dimensional position data. The accuracy of the two-dimensional position relies on the accuracy of the local altitude. A two-dimensional position could have equal or better accuracy than a three-dimensional position if an accurate local altitude is known. If the altitude is unknown, a two-dimensional position would be less accurate than a three-dimensional position. Carl Carter, Allen Osborne Associates: This is correct. Some receivers will offer the option of two-dimensional positions. This is done because there may be limited resources in the receiver (one or only a few channels available for tracking the satellite signals), limited availability of satellites to track, or similar limitations. In general, it takes observations from four satellites to compute a three-dimensional position since the mathematical solution involves solving not only for x, y and z coordinates, but also the time error at the receiver. This implies four unknowns, and requires four data points for the equations. If only three (or with some receivers, two) satellites can be tracked, a solution for position can still be estimated, but some compromises must be made. Generally, this involves assuming the local height above the reference surface (called the ellipsoid) is zero. For receivers located on ships at sea, this is generally a pretty good approximation, but on land it might result in considerable error. The availability of less observation information, along with forcing an assumption that could in itself have considerable error, results in the 2-D fix generally being much less accurate. Wendy Corcoran, NovAtel Communications: The majority of GPS receivers are designed to compute three-dimensional positions - latitude, longitude and height. During the earlier days of GPS when there were fewer satellites, two-dimensional positioning was used because of satellite availability. Since four satellites with good geometry are required to compute 3-D positions, if there were less than four satellites or the four were poorly positioned, some GPS receivers would allow you to hold the height component fixed so the latitude and longitude would continue to be computed. The accuracy of the horizontal position is acceptable in 2-D if the height is known exactly. Any error in the height would be translated into the computed latitude and longitude values. Again, 2-D was used as an interim measure and once more satellites were available, most users operated in 3-D positioning. This technique could still be used today but with the full constellation, it is not really necessary. Arthur Lange, Trimble Navigation: To compute a 3-D position, data from at least four satellites is required. When a 2-D position is computed, it is assumed that a satellite is at the center of the Earth and it is at a given distance. This is done by asking the user to enter the altitude. However, if the user enters the wrong altitude in the GPS receiver and a 2-D position is then computed, there will be an error in the 2-D position. This error in 2-D position is usually within 2 to 5 times the error in the vertical position. For example, a 10 meter error in altitude may result in a 50 meter error in 2-D position. For serious mapping and GIS data collection 3-D manual positioning mode must be used to avoid additional sources of error, since seldom is the GPS altitude known to sufficient accuracy. Dr. Frank van Diggelen, Ashtech, Inc.: It is true that most GPS receivers can compute either two-dimensional or three-dimensional positions. Usually 2-D positions are computed because the receiver is not tracking enough satellites to compute a 3-D position. Q. Can GPS receivers be connected to other external devices such as video cameras or depth sounders? How? -T.R. Boca Raton, Fla. A. Bohlke: Some GPS receivers can be connected directly to various devices such as cameras, depth finders and bar code readers for the synchronization of data collection. Additionally, GPS receivers and other devices can be connected to a single data collection unit. GPS connections usually require some form of serial communication. This enables a user to collect unique forms of attribute data for any feature. Charles Branch, Ashtech, Inc.: Yes, using RS-232 cables and the appropriate logging software. GPS receivers have been used for some years now as sensors that position-stamp whatever the external sensing imagery, seismic surveys, etc. is commonplace. Just coming on line now is the reverse scenario: where the GPS receiver is the recording device and the external device is used as the sensor providing measurements that are attached to the GPS positions. Examples of this type of application include geophysical field surveys (sensor = depth sounder, magnetometer, gravimeter, etc.) and pollution monitoring (sensor = pH meter, gas sniffer, Geiger counter, etc.) Corcoran: One of the strengths of GPS is that it can be integrated with other measuring devices. There are four ways that GPS can be interfaced to external devices: through RS232, 1 PPS, mark input and/or mark output. Craig Hudson, II Morrow, Inc.: The Apollo GIS 940 interfaces with external devices using a serial RS232 port. This port is programmable and allows for the transmission of simple ASCII text strings for direct serial interface. The Apollo GIS 940 uses the standard NMEA RS232 data protocol. Lange: Yes, GPS receivers may be used with external devices such as video cameras or depth sounders. One way of using a GPS receiver with a video camera is to time-synchronize the video recorder with the GPS receiver using a SMPTE (Society of Motion Picture and Television Engineers) horizontal time code generator. Once synchronized, the video camera and recorder may then be operated independently of the data-logging GPS receiver. The video images are correlated with the GPS position by matching GPS time. Alternatively, a SMPTE code generator may be used to encode and write the GPS position in a machine readable form onto the video tape. For more details, refer to a 14 page document, titled "How to Use GPS Pathfinder Products With Video Recorders and Camcorders," available from the Trimble FAXBACK system at 408-481-7704. This document (FAXBACK document number 3040), has a detailed discussion of several different ways to use a GPS receiver with video equipment. About the participants: |