GPS positioning principle

　　GPS receivers can receive time information accurate to nanoseconds that can be used for timing; forecast ephemeris used to predict the approximate position of satellites in the next few months; broadcast ephemeris used to calculate satellite coordinates required for positioning , with an accuracy of several meters to tens of meters (different for each satellite and changes at any time); and GPS system information, such as satellite status, etc.

　　The distance from the satellite to the receiver can be obtained by the measurement of the code by the GPS receiver. Due to the error of the receiver's satellite clock and the error of atmospheric propagation.

　　difference, so it is called pseudorange. The pseudorange measured for the 0A code is called the UA code pseudorange, with an accuracy of about 20 meters, and the pseudorange measured for the P code is called the P code pseudorange, with an accuracy of about 2 meters.

　　The GPS receiver decodes the received satellite signal or uses other techniques to remove the information modulated on the carrier, and then

　　Resume carrier. Strictly speaking, the carrier phase should be called the carrier beat phase, which is the difference between the carrier phase of the received satellite signal affected by the Doppler shift and the phase of the signal generated by the local oscillation of the receiver. Generally, the measurement is made at the epoch time determined by the receiver clock and the tracking of the satellite signal is maintained, and the phase change value can be recorded, but the initial phase value of the receiver and the satellite oscillator at the beginning of the observation is unknown. The phase integer of the initial epoch is also unknown, that is, the integer ambiguity, which can only be solved as a parameter in data processing. The accuracy of the phase observations is as high as millimeters, but the premise is to solve the ambiguity of the whole circle, so the phase observations can only be used when there is a relative positioning and there is a period of continuous observations, and the positioning accuracy better than the meter level can only be achieved. Phase observations can be used.

　　According to the positioning method, GPS positioning is divided into single-point positioning and relative positioning (differential positioning). Single-point positioning is a method of determining the position of a receiver based on the observation data of a receiver. It can only use pseudo-range observations and can be used for rough navigation and positioning of vehicles and ships. Relative positioning (differential positioning) is a method of determining the relative position between observation points based on the observation data of two or more receivers. Relative positioning is performed using phase observations.

　　GPS observations include errors such as satellite and receiver clock errors, atmospheric propagation delays, and multipath effects, and are also affected by satellite broadcast ephemeris errors during positioning calculations. Cancellation or weakening, so the positioning accuracy will be greatly improved. The dual-frequency receiver can offset the main part of the ionospheric error in the atmosphere according to the observations of the two frequencies. When the accuracy requirement is high and the distance between the receivers is long (there is a significant difference in the atmosphere) , a dual-frequency receiver should be used.

　　During positioning and observation, if the receiver moves relative to the surface of the earth, it is called dynamic positioning. Pseudo-range differential positioning with meter-level accuracy, or centimeter-level phase differential positioning (RTK) for measuring stakeouts, etc., real-time differential positioning requires a data link to transmit the observation data of two or more stations together in real time for calculation. During positioning observation, if the receiver is stationary relative to the earth's surface, it is called static positioning. When conducting control network observation, this method is generally used to observe simultaneously by several receivers, which can maximize the use of GPS. Positioning accuracy, receivers dedicated to this purpose are called geodetic receivers and are the best performing class of receivers. At present, GPS has been able to meet the accuracy requirements of crustal deformation observation, and the perennial observation stations of IGS have been able to form a millimeter-level global coordinate frame.

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