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Noise cancellation

Intermediate

Anti-phase sound cancels unwanted noise.

A microphone samples noise and a speaker emits the same waveform with opposite phase, so the sum cancels. It works best for steady low-frequency sound such as engine hum.

Worked example

Aeroplane headphones.

Common mistake

Needs precise phase matching.

In more detail

Active noise cancellation uses a microphone to detect unwanted sound and a speaker to emit an equal, opposite wave. Superposition then cancels the noise, mostly at low frequencies.

Real-world uses

Open the interactive lesson, with simulation and quiz →

Frequently asked questions

Why does it work better at low frequencies?

Long wavelengths are easier to match in phase and timing than short ones.

Can it remove all sound?

No. High frequencies and sudden noises are harder to cancel completely.

Can noise cancellation remove all sound?

It works best for steady, low-frequency noise. Sudden or high-frequency sounds are harder to cancel completely.

Related topics in Waves & Sound

Fourier analysis · Wave equation (PDE) · Solitons

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