I seriously doubt that they can use active noise cancelling to deal with noise on an airliner. Active noise cancelling sends out sound wave to exactly cancel out the noise at a specific point in space. The drawback is that you are actually putting more sound into the environment, so half a wavelength away from that spot, you actually have twice the noise. In ear active noise cancelling works because you are only interested in removing noise at one fixed point - the ear. For out-of-multiple ears active noise cancelling, you are going to need
1. head restraints to keep the ears in specific spots (or some form of ear detectors + many times the computing power for 2).
2. a super computer on board to calculate how to modulate all the panels to reduce or cancel out all the noises at all the ears of all the passengers.
A quick google showed that while the A380 has patented ways of reducing the engine fan noise, it does not use active in-cabin noise cancelling.