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Noise-cancelling headphones

Last updated: August 5, 2008.

Etymotic ER-6 noise cancelling earbud headphones

Why do people on trains and buses have to play their music so loud? Look at it from their point of view: they're trying to enjoy a nice bit of Beethoven or Schubert (as if!), but all they can hear is the deafening throb of the engine—so they turn the volume up as far as it will go. But don't worry, because there is a solution to this problem for both of you: noise-cancelling headphones. These amazing gadgets block out the background noise, allowing people to listen to their music without unwanted distractions. Since there is no competition between music and noise, they can set their MP3 players to a much lower volume, which is better for the people around them as well. Let's take a look at how noise-cancelling headphones tell the difference between the sounds you want to hear—and the ones you don't.

If you want to find out about how ordinary headphones work first, take a look at our separate articles on loudspeakers and headphones.

Photo: My trusty Etymotic ER-6 noise-cancelling earbud headphones. These work by passive noise cancelling: each earpiece has a pair of (washable) plastic suction cups that make a tight seal in your ear canal to stop noise getting in and music leaking out. If you prefer, you can pull off the plastic cups and use disposable, soft foam ones instead.

Two kinds of noise reduction

There are two ways to reduce the noise in your headphones, one simple and one complex.

Passive noise reduction (noise isolation)

The simplest kind is called passive noise reduction or noise isolation. The headphones are designed so the earpieces fit snugly into your ears. No sound can escape to bother the people around you and no background noise can get in either. The Etymotic headphones shown in our top picture work this way. They have earbuds with large pieces of soft foam built around them, much like foam earplugs. You wear them by squeezing the foam so it makes a perfect seal with your ear canel. They also come with plastic reusable earpieces a bit like the ear plugs you can use for swimming.

Active noise reduction

A much more advanced way of getting rid of the noise is called active noise reduction, and it's used in the sophisticated noise-cancelling headphones that pilots use. Headphones like this have a small microphone built into their case. The microphone constantly samples the background noise and feeds it to an electronic circuit inside the headphone case. The circuit inverts (reverses) the noise and plays it into the loudspeaker that covers your ear. The idea is that the noise you would normally hear is cancelled out by the inverted noise—so all that's left (and all you hear) is near-silence or the music you want to listen to. Headphones that work in this way include the Bose QuietComfort®.

How active noise reduction works

Suppose you have the noise of a pneumatic drill (jackhammer) driving you mad. You put on your noise-cancelling headphones, switch them on, and the drilling noise virtually disappear. How does that work? We've already seen that the headphones superimpose a reversed a version of the drilling noise on top of the original noise, but why doesn't that simply make the noise twice as loud?

Sound is energy travelling through the air in waves. Sound waves don't look like the waves on the sea—indeed, you can't see them at all. If you could see sound travelling, you'd see it squeezing air molecules together in some places and stretching them out in others. In other words, sound travels by making the air pressure change. Now suppose there's a sound wave travelling between a pneumatic drill and you're ear. At any given moment, the air between the drill and your ear has areas where the sound is compressed (compressions) and areas where's it's stretched out (rarefactions). Suppose you could exactly reverse the sound made by the drill and superimpose it on top. Now the original compressions would be replaced by rarefactions and vice versa. So the original sound and the reversed sound would, in theory, completely cancel each other out.

Don't believe it? Test it and see!

Do you believe this? It's true! We can prove it with a simple sound-recording program called Audacity.

1. Take one pure tone

First, I've recorded two seconds of a pure tone at 440Hz (in music-speak, that's the A below middle C). It sounds like this:

On an oscilloscope (a TV-screen used for showing waves), it has an up-and-down wave pattern like this:

Sine wave

2. Make an inverted version of the same pure tone

Now I've used Audacity to invert the sound wave. It sounds exactly the same—like this:

but it looks like this:

Inverted sound wave

Put the two sound waves one above the other and you can see that they are exact opposites:

Sine waves

3. Add the two sounds together

Now, using Audacity, I'm going to add the inverted sounds for two seconds. And then, straight afterwards, I'm going to add the first wave to itself for two seconds. What's this going to sound like? A bit like this:

For the first half, we get silence because the two waves cancel out. For the second half, we get a noise that's twice as loud because the two waves reinforce one another. And that's how noise cancelling works!

With real noise reduction, it's never possible to exactly cancel the two sounds out, so there's always some background noise left over. But it's still a distinct improvement.

Try all this for yourself using the excellent, free sound-recording program Audacity. Our MP3 sound clips are played here with the help of the Audio Player Wordpress Plugin.

What are the best noise-cancelling headphones?

As you might expect, it's a matter of preference. Passive, noise-isolating headphones tend to be less expensive than active ones, though high-end headphones like those from Etymotic, which have very high-quality audio performance, are still expensive (mine cost me something like $200 or £100 a few years ago, though the price has now dropped). The best thing you can do is try out different headphones and see what suits you. Remember that active noise-cancelling headphones are designed to reduce predictable, steady noises like airplane engines, not complex varying sounds like voices, so they're not so good for cutting out the sound of people's inane chatter. If that's the noise that's bothering you, you need a different solution...

How do you get rid of noise you can't cancel?

Students trying to revise while other people play music often fret about getting peace and quiet. Here's my foolproof solution to noisy neighbours, mad parties, construction noise, and other distractions that stop you working. If you're bothered by people's conversations or music, and earplugs or noise-cancelling headphones don't help you, a really effective solution is to record yourself an MP3 of white noise (steady noise like you'd hear from the wind or the sea) or pink noise (a deeper version of white noise, like an aeroplane engine) and put that on your music player. You can find plenty of samples on the Internet. Simply play the noise in your ears at reasonable volume and it should cancel out most things. The ultimate solution I've found is to put foam earplugs into your ears, put large headphones on top, then play the white or pink noise as well. The combination of earplugs and white/pink noise will cancel out virtually any background noise without damaging your hearing. A pretty extreme solution, but it really does work!

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Text copyright © Chris Woodford 2008. All rights reserved.

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