The conversion formula from a linear ratio
r into dBFS units is the following:
dBFS = 20 * log10(r). The value of
r can be different things, but in my case, this is a RMS value divided by the maximum value.
However, the linear to dB conversion formula is
dB = 10 * log10(v), so I do not understand why the same formula is not used for dBFS conversion. Why does the extra factor 2 is required in the dBFS formula? Is it some kind of convention we just need to accept or is there a more logical explanation?