Sounds like a conservation of energy violation.
Assuming noise is randomly polarized. ..

I think something's still not clear here.



You have to be more specific, what kind of noise, source, how far.
Then what it is attached to or radiated by. The "antennas" can add polarization
as well as propagation.
Noise can be point source, omnidirectional, omnipolarized, but also "massaged"
by the surroundings and "antennas" attached to it or in vicinity. Ever chased
power line noise along the power lines?

Yuri, K3BU