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keisanHigh-precision calculations for everyday life and work

Decibel Calculation from Input and Output

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Convert from input and output amplitudes to decibels (dB)
Input and Output
Input In
Ensure the units for input and output are consistent
Output Out
Gain G  dB
Ratio Out/In  times
The gain calculation formula differs depending on whether the input and output are power or voltage.
\(\normalsize \\ Power\ gain:\ G_p=10 \log({\large\frac{Po}{Pi}})\\ Voltage\ gain:\ G_v=10 \log({\large\frac{Vo}{Vi}})^2=20 \log({\large\frac{Vo}{Vi}})\\\)

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Decibel Calculation from Input and Output | Keisan