I have the same issue with my Martin Logan Grotto sub as czynot does. When all is off even the sub itself (not on standby) i noticed a light buzz or humm. Took my sub to a ML dealer, tested, all is good.
Then one night i noticed that the humm went away when a had my floor lamp off. Then the humm came back when i turned it on. The weired thing is that the lamp has 2 brightness settings, dim & bright. The humm is there when its on dim but the humm goes away when either bright or off.
So its most likely an issue with your outlet or another object plugged into the same outlet. Czynot...try plugging your sub into another outlet or even another room...worst case, a friends house. If the problem is still there then you may have another problem.
Let us know how it goes & if you dial in the prob!
Hope all goes good for you!!