Decibel Math
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The
decibel
system (and the properties of logarithms) makes the mathematics involved in some equations much simpler. For instance,
recall the Friis Transmission Formula:
 (*)To convert this equation from linear units in Watts to decibels, we take the logarithm of both sides and multiply by 10:
 A nice property of logarithms is that for two numbers A and B (both positive), the following result is always true:
 Equation (*) then becomes:
 Using the definition of decibels, the above equation becomes a simple addition equation in dB:
 The above representation is easier to work with, which is kind of cool.
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