Simplest way is to put a different but (more) constant noise in your room.
not exactly saying an FM like white hissing noise
but certainly why not a quiet radio or maybe CD
- eg a quiet relaxing piece, even classical
There are plenty of internet stations (See "Tune in" Radio app or PC program)
around the world !! to most 24/7 that you could use...
That way, the extra noise from next door is not so noticeable.