Global Positioning System Reference
In-Depth Information
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TABLE 4.3
Observed Parameters
P
1
O
OP
2
1
a
=
f
1
(
x
a
)
2
a
=
x
a
P
=
v
1
=
A
1
x
+
1
v
2
=
x
+
2
2
=
x
0
−
x
b
N
1
=
A
1
P
1
A
1
N
2
=
P
2
u
1
=
A
1
P
1
1
u
2
=
P
2
2
x
=−
(
N
1
+
P
2
)
−
1
(
u
1
+
P
2
2
)
Q
x
=
(
N
1
+
P
2
)
−
1
[12
Note:
Case of observation equation model.
For the adjustment to be meaningful, one must make every attempt to obtain a weight
matrix that truly reflects the quality of the additional information. Low weights, or,
equivalently, large variances, imply low precision. Even low-weighted parameters
can have, occasionally, a positive effect on the quality of the least-squares solution. If
the parameters or functions of the parameters are introduced with an infinitely large
weight, one speaks of conditions between parameters. The only specifications for
implementing conditions are:
Lin
—
-
——
No
PgE
P
−
1
2
=
O
(4.157)
[12
and
P
2
=∞
(4.158)
Th
e respective mathematical models are
f
(
1
a
,
x
a
)
=
o
(4.159)
g
(
x
a
)
=
o
(4.160)
with
B
1
v
1
+
+
w
1
=
A
1
x
o
(4.161)
A
2
x
+
2
=
o
(4.162)
and
1
a
=
f
(
x
a
)
(4.163)
g
(
x
a
)
=
o
(4.164)
