rf - Is it possible to reject noise traveling on the outside of a coaxial transmission line?

Say I have some ordinary coax between a receiver and an antenna. That coax will have three currents in it:

1. the desired signal


2. an exactly equal an opposite current on the inside of the shield (really, also the desired signal)


3. noise on the outside of the shield

Now if this were a balanced transmission line (not coax), I'd connect the pair of conductors to a differential amplifier, which would reject common-mode voltage. I'd be sure the impedance of each side is equal, so that common-mode currents create only common-mode voltages, so my common-mode voltage-rejecting differential amplifier effectively also rejects common-mode currents.

But this is just ordinary coax, with only one center conductor. The impedances of the shield and the center conductor are not equal. Although the signal is trapped inside the coax by the shield, can I maintain this separation of currents when the coax enters my receiver circuitry? In other words, how do I provide a reference for my receiving circuitry that isn't affected by the noise currents (3)? Or, is that not possible?

Note that I'm not asking about alternatives to coax, or other types of coax with multiple shields, etc. I'm also not very concerned about non-ideal noises introduced into the coax by an imperfect shield, etc. A practical example of the situation of concern would be that I have an antenna connected to a receiver by some coax, and I want to receive the signal from the antenna, but not the signal from the coax shield (which can also make a pretty good monopole antenna).

^{simulate this circuit – Schematic created using CircuitLab}