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(1)get the input admittance for open or short-circuited transmission line;
(2)according to the ABCD-matrix of parallel admittance, get the ABCD-matrix of parallel open/short circuited stub
For diode mixer (passive mixer), higher LO power can improve the compression point to some extent. And the LO power is often in the range of 3 to 10dBm.
In the book "microstrip filters for rf and microwave application", you can find some analytical formula between the L/C values and microstrip physical sizes, and the formula for the compensation due the discontinuities. But at higher frequencies, optimization may be needed.
Re: How to integrate balanced amplifier with patch antenna a
It seems that it should be working, note that:
(1) differential impedance is 100 ohm with single impedance of 50 ohm, so each antenna should be matched to 50 ohm,
(2) there is 180 degree phase difference.
I think the distance should be increased because the Fariis formula is for far-zone (at least 10*lambda). In addition, the maximum radiation direction of the two antenns should be aligned.
you can use MMR in which the higher mode in SIR can be used for a transmission pole in the passband and use strong I/O coupling. Or you can use quasi-lump filter, but I am not sure if the insertion loss can be 0.1 dB.
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