DECIBEL ADDITION SUBTRACTION CALCULATOR


Decibel Addition Subtraction Calculator for addition and subtraction operations of values in dB. Formulas for adding and subtracting decibels are given below the calculator.


Decibel Addition Subtraction Calculator:


Addition / Subtraction (LA(dB) ± LB(dB) = Result)
Relationship LA (dB) LB  (dB) Result
     

Note: Use dot "." as decimal separator.

Note: For addition and subtraction operation, LA ≥ LB condition shall be met.


Definitions:

Decibel (dB): Decibel is a unit used to express relative difference in power or intensity, usually between two acoustic or electric signals, equal to ten times the common logarithm of the ratio of the two levels.

Decibel Addition Subtraction Formulas:

Parameter Equation
Addition of dB $${ L }_{ A }+{ L }_{ B }={ L }_{ A }+\log _{ 10 }{ (1+{ 10 }^{ \frac { -({ L }_{ A }-{ L }_{ B }) }{ 10 } }) }$$
Subtraction of dB $${ L }_{ A }-{ L }_{ B }={ L }_{ A }+\log _{ 10 }{ (1-{ 10 }^{ \frac { -({ L }_{ A }-{ L }_{ B }) }{ 10 } }) }$$

Note: For addition and subtraction operation, LA ≥ LB condition shall be met.