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To add to what the other poster said:
I'm not an expert, but my understanding is that noise cancellation works by inverting sounds waves to deaden the sound. So, like, if you add sin(x) and –sin(x) you get 0.
This system is actively adding inverted sound waves to cancel most sounds. What makes this system unique is that it samples the voice and uses the unique "voice print" to selectively not invert the sound waves from the targeted voice.
Or that's what I'm getting from reading this, as a layman.