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› Forums › Foundations of speech › Acoustics › The equation to calculate dB
In p.145 of Elements, it writes “the ratio is 255, so the difference in dB is 20 * log255”. But I remember log(ratio) should time 10 instead 20.
Also I was wondering why 8bits and 16bits are used normally. I mean, will something go wrong if we choose 9-15bits?
[please ask one question per post – see the topic bit depth for your second question]
dB is always 10 log(ratio) because the 10 is converting from Bels to decibels
the 20 comes from 10 log (ratio^2), where the raising to the power of 2 is converting magnitude to power
remember that log(x . x) = log(x) + log(x) = 2 log(x)
the key point to remember is that dB is a logarithmic scale, which is generally much more useful, when plotting a spectrum for example
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