SOURCEFORGE » RALF » 2015 Software defined GPS receiver

h1. PART 1 : An introduction to Navigation.

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p((. Before anything else, it is necessary to tackle the origin of navigation and its applications, the creation of the current GNSS with a comparison of different systems and finally, describing the main principles of GPS.

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h2. 1 - History of Navigation.

_*Navigation* is defined as a field of study that focuses on the process of monitoring and controlling the movement of a craft or vehicle from one place to another.[1] The field of navigation includes four general categories: land navigation, marine navigation, aeronautic navigation, and space navigation._

A brief evolution of Navigation through history is suggested in the following. 

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*Figure 1* : Lighthouse __________________________ *Figure 2* : Magnetic compass ________________________ *Figure 3* : Sextant __________________ *Figure 4* : Chronometer _______________ *Figure 5* : TomTom GPS

h3. a- Visual navigation.

Seamark and landmark references *[Figure 1]* where among the first entities to help to find a direction. However, this system works with a limited range, a limited accuracy, a low availability of marks.

Note that stars has been used for centuries, but are only available during night and clear sky.

h3. b- Navigation with classic instruments.

Then, come the Magnetic compass *[Figure 2]*, the Sextant *[Figure 3]* as navigation tools.

The last one allows the measurement of the height of stars above the horizon providing longitude inaccurately i.e. it was the first use of ephemeris and time reference.

Improvements has been done by combining it with Harrison's clock (Chronometer) *[Figure 4]* providing latitude and longitude with acceptable accuracy.

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h2. 2 - Global Navigation Satellite System (GNSS).

h3. a- History.

- *Sputnik* in *1957* : first satellite in the world, orbit estimated using the received signal frequency via Doppler effect.

- *TRANSIT* from *1958* operational in 1964 : first satellite navigation system for the US Navy.

- *GPS* program started at *1973* providing position anywhere at anytime.

h3. b- Current definition.

_*Global Navigation Satellite System (GNSS)* is defined as a system of satellites that provide autonomous spatial positioning on Earth with global coverage.

It allows small electronic receivers to determine their location (longitude/latitude/altitude) to high precision (within a few meters) using time signals transmitted along a line of sight by radio from satellites. 

Global coverage for each system is generally achieved by a satellite constellation of 20–30 medium Earth orbit (MEO) satellites spread between several orbital planes. The actual systems vary, but use orbital inclinations of >50° and orbital periods of roughly 12 hours._

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h2. 3 - Comparison of systems.

Various global satellite navigation systems has been developped in different countries and while some of them are currently used, others are in preparation. The following array sums up these systems and underlines their differences :

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*Figure 6* : Comparison of GNSS systems.

An illustration of their orbits in terms of altitude and revolution period is proposed :

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*Figure 7* : Orbits of GNSS systems.

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h2. 4 - Our system : GPS details.

h3. a- Space Segment.

The official GPS website *[5]* describes the evolution of the space segment by improving the satellites' capabilities :

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*Figure 8* : Evolution of the GPS satellites with their characteristics through time

Here is an animation depicting the GPS constellation with the number of available satellites through time :

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*Figure 9* : GPS constellation

h3. b- Ground Control Segment.

Continuously > Track GPS satellites, estimate clock and orbit, keep GPS time, upload data that describes clock & orbit for each satellite

Infrequently > Command small maneuvers to maintain orbit, small clock corrections, major relocations to compensate any satellite failure

h3. c- Delivery of Navigation messages.

Clock & Ephemeris sent by GS to SS, Spread Spectrum ranging signals & navigation data sent by SS to US & GS.

h3. d- Signals.

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*Figure 10* : Signal decomposition

h3. e- Ranging.

Propagation time : Time of transmission - Time of reception

Distance between satellite and receiver \approx Propagation time x Speed of light

How it works : attachment:"29.pdf"

_In geometry, *trilateration* is the process of determining absolute or relative locations of points by measurement of distances, using the geometry ofcircles, spheres or triangles. :_

1 measurement : 1 sphere of radius D1 centered in Sat1

2 measurements : intersection of 2 spheres  (D1, Sat1) (D2, Sat2) = Circle 

3 measurements : intersection of 3 spheres (D1, Sat1) (D2, Sat3) (D2, Sat3) = 2 points (1 often aberrant) 

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*Figure 11* : 

h3. f- GNSS Receivers.

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*Figure 12* : 

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*Figure 13* : 

h3. g- GNSS Measurements.

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*Figure 14* : 

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*Figure 15* : 

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*Figure 16* : 

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*Figure 17* : 

*References :* 

*[1]* M. Sahmoudi, Introduction to satellite positioning & multi-sensor navigation, 2016

*[2]* K. Borre, D. M. Akos, N. Bertelsen, P. Rinder, S. H. Jensen, A software-defined GPS and GALILEO receiver

*[3]* https://en.wikipedia.org/wiki/Satellite_navigation

*[4]* https://en.wikipedia.org/wiki/Global_Positioning_System

*[5]* http://www.gps.gov/systems/gps/