Grumps said:
Yeah, I had a look at some transformer offerings from Mini-Circuits. Maybe
I'm wrong, and this is why I'm posting here, but to convert 200 to 50 Ohms
impedance would require a turns ratio of 2 ( Zpri = n^2 Zsec ). This would
produce a 3dB loss, and then you have about 1dB insertion loss too.
Simulations of the tuned LC approach have a loss of <2dB. I'd like to save
every dB that I can.
With a transformer, you can basically get nearly all of the power
transferred from the source to the load, with a good transformer certainly
within less than a dB of no loss at all. If you were able to get 2dB more
with your reactive matching circuit than would be available from the
transformer, then you would have to have invented some kind of free energy
perpetual motion thingy.
If you want to develop 1 Volt RMS across a 50 Ohm load, you need an amount
of power equal to:
V^2/R = 20mW
Now if you make this 50 Ohm load look like a 200 Ohm load from the point of
view of the signal source (because you attached some fancy matching
network, or a transformer) then you still need 20mW from the signal source,
you can't get power out of nowhere.
For your source to provide 20mW into 200 Ohm, you will need 2V:
((2V)^2)/200Ohms = 20mW.
There is no way to avoid this voltage ratio without some kind of amplifier
having its own power source.
Chris