Don't tap on the filter or try to take it apart on your own - you could damage the seal. The sound usually comes from the housing vibrating, not from an internal cartridge defect.
First thing to check is the installation: loosen and retighten all the connections under the sink, especially where the hoses go in and out of the filter. Even a tiny bit of play under water pressure causes humming. Make sure the filter itself is securely mounted in the bracket or on the wall - if it's hanging with a gap, it'll vibrate like a tuning fork.
Second thing - check if the cold water inlet valve is fully open (if your system has one). When the valve is only partially open, the pressure fluctuates, and the filter reacts with noise. If everything's tight and the vibration hasn't stopped, it might help to shut off the main water valve to your apartment for a few seconds to release the pressure in the system, then open it back up - sometimes air gets trapped in the pipes, and that's what creates the noise when you turn it on.