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a question about balun in the attached file

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Preben

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Why can the balun perform the impedance matching from 75 ohm to 37.5 ohm?
What theory?
 

The so called BALUN is balance-unbalance converter. In this case, the impedance to ground at the balance ports is 37.5 Ohm, but the impedance between both balance ports is 75 Ohm; at unbalance ports, one port is connected to gound, and the impedance between both unbalance ports is still 75 Ohm.
 

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