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SUR 3520: Measurement Science
Spring 2008 – Section 4218
Assignment No. 9
Student UFID:
Student Name:
9.1
Given the following GPS observations and geocentric control station coordinates to
accompany figure, what are the most probable coordinates for station
E
using a
weighted least squares adjustment?
The vector covariance matrices for the
∆
X
,
∆
Y
, and
∆
Z
values (in meters) given are
as follows:
Baseline
BE
University of Florida
Geomatics – SFRC
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Spring 2008 – Section 4218
Compute the relative errors in ppm on the:
(a) repeated baselines EAAE, EBBE, ECCE, and EDDE
(b) loop closures EAB, EBC, ECD, and EDA.
9.2
Solve problem 9.1 again using the following assumptions:

measurements are uncorrelated

all baseline components are of the same weight (
σ
= 0.005 m)

only baselines AE, BE, CE, and DE are available as observations
Find the most probable values for the coordinates of ‘E’ and analyze the results.
University of Florida
Geomatics – SFRC
SUR 3520: Measurement Science
Spring 2008 – Section 4218
Optional Questions
9.3 What are the different sources of errors in GPS measurements?
Give an estimate of
the approximate value of each of them.
9.4 Write down the GPS range observation equation for:
(a) Code
(b) Phase
Explain the difference.
9.5 Explain, with the help of sketches, the minimum requirement for:
(a) GPS Single Point Positioning
(b) GPS baseline solution
9.6 Explain briefly why more precise GPS positioning can be done through differencing
(relative positioning)?
9.7 What is the observable in each of the following cases:
(a) GPS Single Point Positioning
(b) GPS network solution
9.8 Draw a sketch to show the geocentric and geodetic coordinates used in locating points
on the surface of Earth.
9.9 Explain why a network solution can result in more precise solution than single point
or baseline positioning?
9.10
What do the elements of the coefficient matrix “J” represent in 3D space, in case
of:
(a) GPS Single Point Positioning
(b) GPS baseline solution
9.11
How would you get an initial approximate solution for the following cases:
(a) GPS Single Point Positioning
(b) GPS baseline solution
9.12 Given the following pseudorange observations to a single receiver, compute the
most probable value for the receiver position.
PRN
23
9
5
1
21
17
X [m]
14177553.47
15097199.81
23460342.33
8206488.95
1399988.07
6995655.48
Y [m]
18814768.09
4636088.67
9433518.58
18217989.14
17563734.90
23537808.26
Z [m]
12243866.38
21326706.55
8174941.25
17605231.99
19705591.18
9927906.48
University of Florida
Geomatics – SFRC
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This note was uploaded on 04/17/2008 for the course SUR 3520 taught by Professor Mohammed during the Spring '08 term at University of Florida.
 Spring '08
 Mohammed

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