Global Positioning System Reference
In-Depth Information
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I
------------
I
11
OO
OPO
OO
33
01
10
Z
2
=
=
(7.176)
------------
I
Th
is specific choice for
Z
2
leads to
10
h
i
+
1
,i
1
0
H
22
=
=
(7.177)
h
i
+
1
,i
k
i
+
1
,i
+
1
k
i,i
+
1
1
h
i
+
1
,i
k
i
+
1
,i
+
1
[28
−
h
i
+
1
,i
1
H
21
=
H
21
(7.178)
k
i,i
h
i
+
1
,j
Lin
—
1
——
Nor
PgE
h
i
+
1
,i
k
i
+
1
,i
+
1
k
i,i
+
h
i
+
2
,i
+
1
h
i
+
2
,i
h
i
+
3
,i
+
1
h
i
+
3
,i
H
32
=
(7.179)
.
.
h
n,i
+
1
h
n,i
[28
h
i
+
1
,i
k
i
+
1
,i
+
1
k
i,i
k
i
+
1
,i
+
1
−
0
0
h
i
+
1
,i
k
i
+
1
,i
+
1
k
i,i
+
K
22
=
=
k
i
+
1
,i
+
1
0
h
i
+
1
,i
k
i
+
1
,i
+
1
0
k
i,i
+
(7.180)
Permutation changes the matrix
K
at
K
22
. To achieve full decorrelation, the terms
k
i
+
1
,i
+
1
1
)
th ambiguity are
considered. Permutation is required if
k
i
+
1
,i
+
1
<k
i
+
1
,i
+
1
. If permutation occurs, the
procedure again starts with the last pair of the
(n
and
k
i
+
1
,i
+
1
must be inspected while the
i
th and
(i
+
1
)
th and
n
th ambiguities and tries to
re
ach the first and second ambiguities. A new
Z
transformation matrix is constructed
w
henever decorrelation takes place or the order of two ambiguities is permuted. This
pr
ocedure is completed when no diagonal elements are interchanged.
The result of the
Z
transformations can be written as
−
Z
2
Z
1
b
Z
q
···
z
=
(7.181)
Z
q
···
Z
2
Z
1
Q
b
Z
1
Z
2
···
H
q
K
q
H
q
Q
z,q
=
Z
q
=
(7.182)
