this post was submitted on 04 Jun 2024
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That's the theory, but it's almost impossible to do in practice. Your microphone and speaker are imperfect at capturing and reproducing sounds. The phase timing is incredibly sensitive. You only have milliseconds to do the processing and generation.
That's why practical noise cancelling relies on feedback loops. A second microphone inside captures the result of the cancellation, and based on that adjustments can be made to the negative signal. This allows you to correct for lots of sources of error and achieve quite a good result. Of course, for a sudden noise like a gunshot, by the time the feedback loop can really kick in, the noise is already over.