Question

Use the Method Below

1. Use the method presented in lecture (matched source on one side; matched load on the other) to determine the scattering parameters of the normalized two-port circuit below. Calculate the scattering parameters of the circuit below when used in a 50 2 system 50 Ω 100 Ω Sol: we first normalize the impedance values of the circuit to 50 Ω . To find the scattering parameters Si and S1, attach a matched source to port 1 and a matched load to port 2 to obtain the circuit shown: ZT1 To find Sn we calculate the impedance looking into port 1 as Zi -1+2 11-1+2/3- 5/3. Then we have SZ-1-5/3-1_1 To find S we calculate V, as 21 2111 2/3E 8/3 4 1+1+211 8 Then we get E. 2 To find the scattering parameters S2 and S12, attach a matched source to port 2 and a matched load to port 1 to obtain the circuit shown To find S" we calculate the impedance looking into port 2 as ZT-2112 = 1 . Then we have To find Sz we calculate V as 2112 E 1+2112 21 1 V E 1+1 2 4 Then we get 12 E 2

Answer 1

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