A scale describes the relationship between two quantities. The logarithmic scale is different to a linear scale in that the proportion between two quantities isn’t constant but rather, they have a logarithmic flow. The following table highlights the different proportion between two quantities X and Y, connected by a linear and a logarithmic connection:
Table 3.1. Comparison of a linear scale with a logarithmic scale
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The decibel relating to X quantity is expressed as follows:
Equation 3.1. dBX
Which states decibel variations of quantity X in relation to a fixed reference value X0.
If for example, the quantity we’re considering is X and our reference value is X0 = 10, going from X0 to X=1000, we obtain an increase in dB expressed in the following formula:
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