I'm sure what your are hearing is a ground problem or a cable problem (not using shielded cables for your studio monitors).
If your using a Laptop, try using the battery power to see if it stops. If it doesnt', get the proper cables for your studio monitors.
If that doesn't work, you have a ground problem and you may need to call an electrician. Or your elesis is crapping out. Start ruling these things out.
CJ