Properties of DB Scales

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Properties of DB Scales

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Properties of DB Scales

In every kind of dB, a factor of 10 in amplitude gain corresponds to a 20 dB boost (increase by 20 dB):

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and $20\, of course.

Similarly, a factor of 2 in amplitude gain corresponds to a 6 dB boost:

\

and

\

A doubling of power corresponds to a 3 dB boost:

\

and

\

Finally, note that the choice of reference merely determines a vertical offset in the dB scale:

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