Question about matching network

[promach]

I am trying to apply circuit (c) to https://www.um.edu.mt/__data/assets/pdf_file/0010/113500/Matching_Networks.pdf#page=7 using the formula Re(Zin) = L1/(C1*RL) computed below with RL = 75 ohm and Re(Zin) = 150 ohm

However when I did the calculation, it does not fit with the values of L=6.12 nH and C=0.73 pF given, meaning the antenna impedance is not matched with transmitter side. Which part of calculation did I mess up ?

[Benta]

Your screenprint unfortunately uses a font where there's no difference between "1" and "L" (lowercase)

[promach]

@Benta: Modified as requested.

[promach]

the formula needs to be modified for the case of complex load.

Do I just put R=a+%i*b which implies complex load into the Zin equation ?

[Benta]

This is a long way back, but IIRC, the matching network has to provide the complex conjugate load to the output (for maximum power transfer).

You have 150 + j75, so the input impedance should be 150 - j75. Same goes for the antenna.