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Surveying Instruments
Mechanical Tape Opto-Mechanical Level Transit/Theodolite Electronic Electronic Distance Measuring Total Station GPS: Satellite Assisted Systems 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies 11/24/2018 AHT/EVC
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Some Oldies Wireless Communication Technology 11/24/2018 AHT/EVC
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Electronics Devices Electronic Distance Meter 11/24/2018 AHT/EVC d
Two-way ranging by EDM one clock used to measure D t Two way travel time: t=2d/c. Distance: d=c t/2 11/24/2018 AHT/EVC
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Total Station 11/24/2018 AHT/EVC
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GPS in Land Surveying
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What is GPS? A system capable of providing position
information anywhere on earth – Global Positioning System Relies on using a constellation of orbiting satellites (various orbits around the earth) User receivers acquire signal and determines position 11/24/2018 AHT/EVC
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GPS Global Positioning System Developed by DOD Cost $10 billion
Triangulation-based technology GPS was developed by the Department of Defense, specifically the US Air Force and the US Navy at a cost of approximately $10 billion (the motivation was the positioning of nuclear submarines). The basis of the technology is roughly the same as that used by LORAN and SATNAV…that is triangulation! GPS consists of a constellation of 24 satellites, 21 active and 3 spares. All orbit the earth at 11,000 miles above the earth. 11/24/2018 AHT/EVC
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Why use it? AAA (who can resist it!) Economical Increased Productivity
All weather operation Always available (24/7 operation) Anywhere available Economical Increased Productivity Improved Customer service Accuracy (3-D data, Velocity and timing) 11/24/2018 AHT/EVC
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Who Uses it? Land, sea, and airborne navigation, surveying, geophysical exploration, mapping and geodesy, vehicle location systems, farming, transportation systems Telecommunication infrastructure applications include network timing and enhanced 911 for cellular users Global delivery of precise and common time to fixed and mobile users 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications Could be used to track mail if properly used!
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Some Applications 11/24/2018 AHT/EVC
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Some Applications 11/24/2018 AHT/EVC
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Some Applications Mapping 11/24/2018 AHT/EVC
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The GPS System Components The User Segment The Control Segment The Space Segment
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The Space Segment 11/24/2018 AHT/EVC
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The Space Segment Constellation of 24 satellites orbiting the earth
Six orbital planes with four satellite per orbit Seven satellites are typically visible 10 degrees or more above the horizon Satellites orbit the earth about every 12 hours 11/24/2018 AHT/EVC
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Satellite Constellation
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GPS Satellite 11/24/2018 AHT/EVC
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Basic Concept Satellites are reference points to locations on earth (their location are known) A location of a point on earth is identified by “triangulation” Signals from three satellites are used Travel time of each signal is determined Signals travel at Speed of light Distance = Travel Time * Speed of Light 11/24/2018 AHT/EVC
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Triangulation (2-D) 11/24/2018 AHT/EVC
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Triangulation (3-D) 3 satellites 11/24/2018 AHT/EVC
We can see now that the area intersected by all three spheres is quite small. In actually, with this configuration the surface of the spheres only meet at two points. One will be at the surface of the earth, the other somewhere either in space or within the earth. This second point is a nonsense point, however the computers cannot determine a nonsense point from a truly meaningful point. So, we need 1 more satellite! With 4 satellites we will find only 1 point of intersection. This is the real point and the nonsense point can be discarded. The fourth satellite also always GPS to estimate elevation…so not only can be obtain an X and Y estimate, but also a Z estimate. Note: The Z estimate has an error of about 1.5 times the error that of the X,Y estimate. 11/24/2018 AHT/EVC
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The Triangulation Equation
3 variables Where, exactly, are the satellites How long it takes the radio signal to travel that distance How far is the point from the satellite We already said that GPS uses triangulation. This ‘equation’ contains 3 variables. 1) How far is the point from the satellite 2) How long does it take for a radio signal to travel from the satellite to the point on the earth. 3) Where, exactly, are the satellites located. This equation also contains a correction factor because radio waves travel at the speed of light only in a vacuum (space). When they travel through our atmosphere they slow down. So our triangulation equation must account for this. 11/24/2018 AHT/EVC
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Where are the satellites?
From orbital mechanics, the location of satellites are determined An almanac of orbital information for all satellites are stored in each satellite Ground control-stations continuously update location information of each satellite and transmit it to them (i.e. ephemeris) 11/24/2018 AHT/EVC
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GPS Codes & Carriers 11/24/2018 AHT/EVC
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Pseudoranging 11/24/2018 AHT/EVC
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What is the Distance? Range (distance) = Time * Speed of Light
Three satellites will provide Latitude Longitude Height Fourth satellite is needed to account for clock time difference – solve for time 11/24/2018 AHT/EVC
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Pseudoranging to four Satellites
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Accuracy of Pseudoranging
P code – 10 meters C/A code – 20 to 30 meters With Selective Availability (SA) – 100 meters SA was turned off since 2000 Other techniques are needed to improve accuracy: Carrier Phase measurement (Surveying) Differential GPS 11/24/2018 AHT/EVC
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Sources of Error Atmospheric scattering Clock errors Receiver errors
Multi-Path Interference Ephemeris GDOP SA Now we have solved the equation and we have an estimate for the X,Y and Z of our location. How accurate is this estimate? Can we even guess at the absolute accuracy with the information we have? Let’s look at the sources of error in GPS locations. 1) Ionospheric scattering: Remember we said that radio waves do not travel at the speed of light in our atmosphere. Well, the ionosphere (a sphere of charged particles) has quite an influence on the radio waves. By itself it accounts for approximately +/- 4 meters of error. 2) Tropospheric scattering: Another portion of the atmosphere also affects accuracy. Not to the extent of the ionosphere but some effect is felt here as well. 3) Errors in the clocks: The atomic clocks on-board the satellites are the best we have but they are still not perfect. This error amounts to approximately +/- 0.7 meters. 4) Receiver errors: The GPS receiver can also effect your accuracy. This is a result of electrical component tolerances and component quality. This error is approximately +/- 1 meter. 5) Multi-Path Interference: This error is analogous to ‘ghosting’ or interference you may have noticed in your television or radio. 6) Ephemeris: errors in the prediction of the satellites location. 7) Geometric Dilution of Precision (GDOP): We will discuss this next. It causes approximately +/- 1-2 meters of error. 8) Selective Availability (SA): We will discuss what this means later as well as how much error can arise from this source. 11/24/2018 AHT/EVC
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Multi-path Error 11/24/2018 AHT/EVC
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GDOP (Geometric Dilution of Precision)
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Differential GPS (DGPS)
Two receivers used simultaneously One located at a control station (or a monument) where the coordinates are precisely known (base station) One is located at a survey point where coordinates are desired Both stations measure distance Base station calculates error and transmits it to the survey station 11/24/2018 AHT/EVC
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DGPS 11/24/2018 AHT/EVC
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Errors Compensated The adjustments made by DGPS technique represents a net sum of various errors present in the process. This correction doesn’t address problems with the receiver clocks This correction may not be sufficient when the receiver and the base station are too far from each other 11/24/2018 AHT/EVC
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Grouping of Survey Points
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