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Matching stubs with differnt impedances

时间:04-06 整理:3721RD 点击:
Hi,
I am trying design a matching network using a series short-circuit stub and a transmission line with characteric impedance Z0=75Ω to match an RC load ZL=100-100j to a 50Ω feed line. The circuit is matched at 2 GHz
I know when ZL is normalised it is equal to 2-2j and when it is plotted on the smith chart it intersects the circle of constant resistance r=1 @ 1±1.6j .
I think that the 75Ω match stub and line will see the load at (1.6J/1.5=) ±1j due to the difference in the impedances.
The matches are at
1.0j length = 0.375λ
-1.0j length = 0.125λ
As shown in my attached smith chart is this correct or have I gone the wrong way about the matching?

Short Circuited Stub Transmission Line

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