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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Chapter 3 / Sensors / NAVSTAR GPS<br />

_ _<br />

GPS receivers track four or more satellites, demodulating their carrier waves<br />

to extract the PRBS that are correlated with stored PRBS sequences.<br />

Autocorrelation techniques extract the time delay between the two PRBS<br />

representing the distance of the receiver from each satellite. The time<br />

delays contain a common receiver clock bias hence the term pseudo-range.<br />

The receiver also tracks the Doppler shift in the carrier waves from each<br />

satellite from which pseudo-range rate is extracted using tracking<br />

bandwidths of the order of 5-6 kHz.<br />

Each satellite transmits its navigation message on the carrier wave at 50 Hz,<br />

the total transmission time being 12.5 minutes. Amongst other things, the<br />

message contains Ephemeris data defining the satellite’s position with<br />

respect to the earth, correction factors for the atomic clock data, and details<br />

of the ionosphere's composition.<br />

Modern receivers track all “visible” satellites, usually providing between 6-<br />

11 pseudo-measurements using an Earth screening angle of 7.5°. These data<br />

are processed in an over-specified least-squares solution that improves the<br />

systems tolerance to high receiver dynamics and lower SNRs. Those that do<br />

not, resort to optimum satellite selection procedures attempt to minimise the<br />

Global Dilution Of Precision (GDOP), Kihara [K.8] , Stein [S.19] . Whichever<br />

method of triangulation is used to fix the receiver’s position a minimum of 4<br />

satellites is required to estimate the clock bias common to each pseudorange<br />

measurement. Receivers capable of tracking both carrier waves<br />

correct the pseudo-measurements for atmospheric transmission delays,<br />

whereas civil equipment tends to track only a single frequency computing<br />

the required correction from Ephemeris data. The receiver’s position with<br />

respect to the Earth is converted to the WGS 84 ellipsoid using the<br />

Molodenskii transform using pre-programmed incremental translation and<br />

ellipsoidal parameters for the local area.<br />

The PPS rms errors are typically 10-15 m and 0.1-0.2 m/s and those for CPS<br />

are purposely degraded to give 50-100 m and 0.3-0.5 m/s when Selective<br />

Availability (SA) is disabled. SA is the term used when the satellite clock<br />

frequencies are jittered which reduces the accuracy of the CPS whilst still<br />

meeting its stated design accuracy.<br />

In “loosely coupled” INS/GPS systems both “sensors” work independently.<br />

In “closely coupled” systems INS PVA data is used to speed up signal<br />

acquisition and to reduce the carrier and code tracking loop bandwidths<br />

making GPS less susceptible to jamming. Cold starts can take several<br />

minutes whereas aided starts provide the first fix within about 30 s.<br />

As the number of satellites increased to the full compliment of 24 in the<br />

early 90s, GPS black box geodetic PVT measurements were combined with<br />

INS and terrain data leading to the integrated TRN now used in modern<br />

fighter aircraft and cruise missiles. No other sensor has had such an impact<br />

on navigation and mid-course guidance, however, several factors have<br />

prevented GPS from replacing TRN entirely:<br />

3.11-2

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