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Sstep11 (s) =
1
s
s L� Z0
4Z0 + 4s L
S11(s) =ZL(s)� Z0
ZL(s) + Z0=
s L� Z0
4Z0 + 4s L
Sstep11 (t) = �1
4+
1
2e�t/⌧
0.25
-0.25
⌧ =L
Z0
Inductanceandpowersplitter
Time
Exampleofstepresponse
⌧ = (R k Z0)C
⌧ =L
R k Z0
⌧ =L
Z0
⌧ = Z0C
Sstep11 (t) =
R� Z0 � 2R e�t/⌧
R+ Z0
Sstep11 (t) = 2
R
R+ Z0e�t/⌧ � 1
Sstep11 (t) = �1
4+
1
2e�t/⌧
Sstep11 (t) =
1
4� 1
2e�t/⌧
Inductance
Time(ns)
⌧ =L
Z0
Sstep11 (t) = 2e�(t�t0)/⌧ � 1
Inductance
Time(ns)
⌧ =L
Z0
Sstep11 (t) = 2e�(t�t0)/⌧ � 1
e�(t�t0)/⌧ =Sstep11 (t) + 1
2
t� t0⌧
= ln
Sstep11 (t) + 1
2
!
⌧ = 1/p = L/Z0 u(⌧) =u(p)
p2
Exampleofstepresponse