.... There is also a complicated decoupling device used as well,
Simple it is not.
When you charge an open port at point A on a quad that has another open port at point B, 90* degrees away with a feed line directly attached, that feed line will become a direct part of the antenna... or be fooled.
gee, I dunno, this is not really that complicated, just use a BALUN @ the feed points
The feedline is connected to a corner which gives a horizontally polarized transmitted signal. Received signals of horizontal polarization induce currents in the loop that go down the feedline to the receiver. Vertically polarized signals induce currents within the loop also, but their magnitude and phases are such that they cancel out.
RF current from the transmitter is highest at the feed point There is another transmitting current maximum at 180 degrees. At 90 and 270 degrees, current is at a minimum. Theoretically in a perfect quad, loop current would be zero at these points. In a practical beam, it is less than 1 per cent of the maximum.
If there is indeed no current at 90 degerees, why couldn't we just break the loop there, If you have antenna analysis software , try this : Insert a very high value resistive load in series at point 270 degrees in the DE of your favorite diamond-shaped quad model for any band. If the quad is symmetrical, then the resonant frequency, pattern and feedpoint impedance will show very little change.
With the added break, we have the driven element being fed at 0 degrees gives horizontal polarization, while feeding it at 90/270 degrees gives vertical polarization. Both modes can be handled by the quad simultaneously. So why not just hook a feedline to each point and switch from one to another at the receiver?
Breaking the loop and adding a 50-ohm load at a current minimum will not affect it, but
adding an unbalanced feedline certainly
will. The braid of the coax will become part of the antenna. As an EZNEC exercise, hang a 6-foot wire (representing the coax shield) at a current null point in your favorite quad DE and watch the pattern change for the worse.
Fortunately, current flow on the outside of the coax can be choked off to restore the current minimum. A balanced-to-unbalanced transformer (balun) will do it. RF current will be confined to the coax inner conductor and the inside of the shield, and will remain near zero for cross-polarized signals. For the unused polarization mode, it is almost as if the coax isn't there at all!