435 ECE Homework Set #1 Fall 2002 All homework must be completed NEATLY!!! (If I can't read it, I can't grade it!)
Kempel Due: 9/11/02
1. A 4-port network has the following scattering matrix 0.190 o 0.6 - 45o 0.645o 0 o o 0 0 0.645 0.6 - 45 0.6 - 45o 0 0 0.6 - 45o 0 0.645 o 0.6 - 45 o 0 (a) Is this network lossless? (b) Is this network reciprocal? (c) What is the reflection coefficient at port 1 if a short circuit is placed at the terminal plane of port 3 and all other ports are match loaded?
2. The scattering matrix for a network two-port is given below, what are the equivalent impedance parameters if the characteristic impedance is 50W? j0.6 0.3 + j0.7 j0.6 0.3 - j0.7 3. Consider two 2-port networks, S A and S B , show that the over-all S 21 of the
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cascade network is given by S 21 =
S S . 1- S S
2 2
A B 21 21 A B 22 11
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4. F...