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2.3 Sound intensities: dB versus percentages

The intensity of a pure sine wave is defined as the square of its amplitude. It is normalised in such a way that a pure sine wave with the maximal amplitude has an intensity of exactly 1. Decibels (abbreviated as dB) are a logarithmic unit that better reflects the fact that our perception of sound intensity is not linear. A difference of 10dB corresponds to a ratio of 10 in intensity. It is normalised in such a way that a sine wave with maximal intensity 1 corresponds to 0dB and a sine wave with intensity 0:1 corresponds to –10dB. This is why intensity values displayed in dB will always be negative.

For physical rather than digital sounds, the reference is usually chosen such that 0dB corresponds roughly to the threshold of human hearing, so you will often see sound intensity measurements with positive dB values. Since a given physical sound can end up at any intensity in the computer, depending on the setting of both the recording and the reproduction equipment, there is no convenient way of converting between the two. However, differences in dB values have the same meaning in both cases.


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Last updated on June 22, 2015

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