Decibels, dB and dBm, in terms of Power and Amplitude

astrophysics
Published

March 29, 2008

It’s not difficult, just always having some doubts…

Power


$latex L_{dB} = 10 log_{10} ( ) $

10 dB increase for a factor 10 increase in the ratio

3 dB = doubling

40 dB = 10000 times

Amplitude


$latex L_{dB} = 10 log_{10} ( ) = 20 log_{10} ( ) $

dBm


dBm is an absolute value obtained by a ratio with 1 mW:

$latex L_{dBm} = 10 log_{10} ( ) $