[0.178 90° 0.6 45° 0.4 45° 0.6 45° 0.4 45° 0.3 - 45° 0.5 - 45° S = 0.3- 45° 0.5 - 45° a) Is this network lossless and why? b) Is this network reciprocal and why? C) What is the retun loss at port 1 when all other ports are terminated with matched loads? d) What is the insertion loss between ports 2 and 4 when all other ports are terminated with matched loads? e) What is the reflection coefficient seen at port 1 if a short circuit is placed at the terminal palne of port 3 and all other ports are terminated with matched loads?

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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microwave system

A four-port network has the scattering matrix shown below:
[0.178 90° 0.6 45°
0.4 45°
0.6 45°
S =
0.4 45°
0.3 - 45°
0.5- 45°
0.3- 45° 0.5- 45°
a) Is this network lossless and why?
b) Is this network reciprocal and why?
C) What is the return loss at port 1 when all other ports are terminated with matched loads?
d) What is the insertion loss between ports 2 and 4 when all other ports are terminated with matched
loads?
e) What is the reflection coefficient seen at port 1 if a short circuit is placed at the terminal palne of port 3
and all other ports are terminated with matched loads?
Transcribed Image Text:A four-port network has the scattering matrix shown below: [0.178 90° 0.6 45° 0.4 45° 0.6 45° S = 0.4 45° 0.3 - 45° 0.5- 45° 0.3- 45° 0.5- 45° a) Is this network lossless and why? b) Is this network reciprocal and why? C) What is the return loss at port 1 when all other ports are terminated with matched loads? d) What is the insertion loss between ports 2 and 4 when all other ports are terminated with matched loads? e) What is the reflection coefficient seen at port 1 if a short circuit is placed at the terminal palne of port 3 and all other ports are terminated with matched loads?
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