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Lecture 3 – Automated Data Collection. Distance Calculation – How? 2 dimensional using sound travel: An accurate timepiece The ability to pick up distant sound signals A map showing the coast and the locations of any soundhouses Knowledge about sound travel (750 miles/hour, or 20 Km/minute).
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Lecture 3 – Automated Data Collection Distance Calculation – How? 2 dimensional using sound travel: • An accurate timepiece • The ability to pick up distant sound signals • A map showing the coast and the locations of any soundhouses • Knowledge about sound travel (750 miles/hour, or 20 Km/minute)
Suppose: • S1 has a sound house • Sound house emits a blast each minute • Objective – To determine the distance of your vessel at V.
How it works Measuring Distance By Measuring Time • Known locations of GPS satellites • Knowledge of signal travel speed (300000 Km/Sec) • Accurate clocks on GPS satellites and GPS receivers Then distances from GPS receiver to several satellites can be calculated and can be used to compute receiver’s position
Soundhouse VS NAVSTAR • 3D VS 2D • Dynamic VS Static • Radio Waves VS Sound • Auto VS Manual
From 2D to 3D La From one satellite (a), we could compute the circle where x locates.
From 2D to 3D (cont.) Candidate 1 for x La Circle Candidate 2 for x Lb Circle
Factors Affecting When and How to Collect Data Major factors that relate to the accuracy of GPS measurements are: • satellite clock errors • ephemeris errors • receiver errors • ionosphere errors • troposphere errors • multipath errors
Dilution of Precision (DOP) • High DOP values can magnify the other errors • DOP values can be monitored during data collection and excessive DOP values can be masked out • DOP values can be predicated • Differential correction can not help with data collected with inappropriate DOP values
Position Accuracy and DOP The quality (accuracy) of fix is depend on a number of factors, including • the number of satellites in view, and • their geometry, or arrangement, in the sky.
How DOP can affect accuracy? Figure 2-7. Area in which “x” might reside, given satellite positions “a” and “b.” The shaded figure indicates the area that contains the actual location sought.
Actually, what is DOP? DOP – sometimes referred to as GDOP (Geometric Dilution of Precision), is a number which is a measure of the quality you might expect from a position measurement of the GPS system based solely on the geometric arrangement of the satellites and the receiver being used for the measurement.
Different DOPs • GDOP (Geometric Dilution Of Precision); Overall-accuracy; 3D-coordinates and time • PDOP (Positional Dilution Of Precision) ; Position accuracy; 3D-coordinates • HDOP (Horizontal Dilution Of Precision); horizontal accuracy; 2D-coordinates • VDOP (Vertical Dilution Of Precision); vertical accuracy; height • TDOP (Time Dilution Of Precision); time accuracy; time