Question 1) A three-port network has the scattering matrix s

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Question 1) A three-port network has the scattering matrix shown below: 100 pnts – 20 pnts each

[S]=0.3ej900.5ej450.3e-j450.5ej450.4ej900.1ej600.2e-j450.1ej600.4ej90

a) Is this network lossless?

b) Is this network reciprocal?

c) What is the return loss at Port 1 when all other ports are match terminated?

d) What are the insertion loss and phase delay between the ports 2 and 3 when all other ports are match terminated?

e) What is the reflection coefficient seen at Port 1 if Port 3 is shorted and all other ports are match terminated?

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