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4-5
Section IV – Operating Instructions
From the diagram,
𝑏
𝑔
=
𝑏
𝑠
+
Γ
𝑔
𝑎
𝑔
But also,
𝑎
𝑔
=
𝑏
𝑙
=
Γ
𝑙
𝑎
𝑙
=
Γ
𝑙
𝑏
𝑔
So substituting the second equation into the first:
𝑏
𝑔
=
𝑏
𝑠
+
Γ
𝑙
Γ
𝑔
𝑏
𝑔
And then re-arrange to collect b
g:
𝑏
𝑔
=
𝑏
𝑠
1
− Γ
𝑙
Γ
𝑔
Now rewrite as power, substituting in
𝑃
𝑔
𝑧0
= |
𝑏
𝑠
|
2
, and
𝑃
𝑖
=
�𝑏
𝑔
�
2
:
𝑃
𝑖
=
𝑃
𝑔
𝑧0
�
1
− Γ
𝑙
Γ
𝑔
�
2
s
b
g
a
a
r
i
d
P
P
P
−
=
Γ
2
a
P
i
=
2
b
P
r
=
g
Γ
s
g
g
g
b
a
b
+
Γ
=
b
a
=
Γ
1
1
Figure 4-3 - Signal Flow Diagram