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Statistical Evaluation of GPS Error in Field Exercise

This study examines GPS error in field data collected on April 26, 2008. Analyzing uncertainties in GPS systems, it compares HH and DGPS methods, assessing their accuracy and fit to Gaussian distributions.

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Statistical Evaluation of GPS Error in Field Exercise

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  1. Statistical evaluation of GPS error Amalia Doebbert Ninfa Bennington

  2. Problem Assumed uncertainties in GPS systems: • sHH < 10 m • sDGPS < 1 m • Big questions: • Do uncertainties we observe in real data agree with these estimates? • Are the distributions of these data Gaussian?

  3. Data used Field exercise 26 April, 2008 DGPS: • 3 Trimble rcvrs • 10 sec. epochs HH GPS: • 3 HH rcvrs • ~10 min. tracks • Variable epochs

  4. Methods

  5. HH absolute position histograms m =43.0709º s =3.19 m

  6. DGPS relative position histograms m =1.1574 m s =.1286 m

  7. Methods

  8. Z-distribution (HH) • Z=(x-m)/s • Hist(Z)

  9. Z-distribution (DGPS) • Z=(x-m)/s • Hist(Z)

  10. Methods

  11. c2 (Goodness of fit) c2 = S[(O-E)/s]2

  12. Results (DGPS)

  13. Results (DGPS)

  14. Results (DGPS)

  15. Results (HH)

  16. Results (HH)

  17. Results (HH)

  18. Conclusions • Positions from DGPS better fit to Gaussian distribution than HH • Assuming Gaussian distribution: • sHH between ±0.21 m and ±5.06 m • sDGPS,vert < 0.2839 m & sDGPS,NorE < 0.1822 m • DGPS positioning more precise than HH positioning • Both DGPS and HH have uncertainties w/in estimated uncertainty

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