This is the way that noise reduction in noise reducing headphones work.
Noise cancelling room speaker.
For example the acousticdoor from residential acoustics is a retractable panel that can reduce noise transmitted through an entrance like your bedroom door by 30 decibels.
Active noise cancelling systems are used most commonly in cars the nissan bluebird was the first to use it way back in 1992 but it didn t catch on till more recently and high end headphones.
Inside each panel is a dense 25 pound core made up of sound muffling materials.
Silentium is an innovator in high performance active noise cancellation.
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This is a noise cancellation machine that features upward facing speakers for full room high definition sounds.
This model automatically adjusts to lessen the effect of background noises delivering a rich audio experience that is unrivaled.
It offers a total of 10 distinct natural sound profiles that promote deeper sleep and relaxation.
A noise cancelling system is an active noise control system which listens to the surrounding ambient sounds and plays opposite sound in sync with the problem noise.
The most common manifestations are a loud buzz or hum coming through the speakers or scrolling bands on a tv screen.
It is sort of like waves in a bathtub that start at each end and meet in the center and end each other.
The out of phase noise coming out of the speaker would cancel out some of the in phase noise in the room.
The only way to actually cancel the noise in this scenario would be to make the wall vibrate as a speaker exactly countering the vibration of the sound source.
This would require that the entire wall would have to sense the vibrations coming from next door and match each node of vibration at every position to counter it.
Of course it is much easier to do it in headphones than in a room.