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Satellite navigation solution for the receiver's position (geopositioning) involves an algorithm.In essence, a GNSS receiver measures the transmitting time of GNSS signals emitted from four or more GNSS satellites (giving the pseudorange) and these measurements are used to obtain its position (i.e., spatial coordinates) and reception time.
Binary offset carrier modulation [1] [2] (BOC modulation) was developed by John Betz in order to allow interoperability of satellite navigation systems. It is currently used in the US GPS system, Indian IRNSS system and in Galileo [3] and is a square sub-carrier modulation, where a signal is multiplied by a rectangular sub-carrier of frequency equal to or greater than the chip rate.
A GPS disciplined oscillator unit with a GPS antenna input, 10 MHz and 1 pulse-per-second (PPS) outputs, and an RS-232 interface.. A GPS clock, or GPS disciplined oscillator (GPSDO), is a combination of a GPS receiver and a high-quality, stable oscillator such as a quartz or rubidium oscillator whose output is controlled to agree with the signals broadcast by GPS or other GNSS satellites.
The pseudorange (from pseudo-and range) is the pseudo distance between a satellite and a navigation satellite receiver (see GNSS positioning calculation), for instance Global Positioning System (GPS) receivers.
B is the output of the second LFSR whose generator polynomial is x → x 10 + x 9 + x 8 + x 6 + x 3 + x 2 + 1 and initial state is also 1111111111 2. D i is a delay (by an integer number of periods) specific to each PRN number i ; it is designated in the GPS interface specification.
The GPS gives an absolute drift-free position value that can be used to reset the INS solution or can be blended with it by use of a mathematical algorithm, such as a Kalman filter. The angular orientation of the unit can be inferred from the series of position updates from the GPS.
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5.307 × 10 −10 – 8.349 × 10 −11 = 4.472 × 10 −10. This fraction is subtracted from 1 and multiplied by the pre-adjusted clock frequency of 10.23 MHz: (1 – 4.472 × 10 −10) × 10.23 = 10.22999999543. That is we need to slow the clocks down from 10.23 MHz to 10.22999999543 MHz in order to negate both time dilation effects.