Deutsche Version 
Decibels are logarithmic "units" that can not be added to other numbers linearly. If a source creates a level
L_{1} and a second source L_{2} that is built from the first, (as two closely powered loudspeakers get the same
signal), then this gives a sum of the level which is 6 dB higher than the level of one signal. If both values are the same level, that's easy. The situation changes when both steady correlated or coherent combined levels are different. More than 6 dB higher than the higher of the two levels of the coherent sum level can never be reached. Note: This calculation here should not be confused with the usual addition of two acoustic "incoherent" (noncoherent) sources  such as a violin and a trumpet. See also the other case: ● Total level adding of acoustical incoherent (noncoherent) sound sources. 
Adding amplitudes (and levels)
Voltage sum coherent (0°) 1 + 1 = 2 
Power sum incoherent (90°) √ (1² + 1²) = 1,414... 
Adding of two coherent pressure or voltage level: Adding of two values of the same level results in an increase in the overall level here of (+) 6 dB. This is obtained with the equal input of two closely standing speakers. Adding of two incoherent (noncoherent) pressure or voltage level: Adding of two values of the same level results in an increase of the total level of (+) 3 dB. This equation is used for both the electric incoherent addition of signals, and for the calculation of the energy level of two loudspeakers. 
Level addition of several coherent signals
Total level adding of incoherent sources Amplitude sum and squared total amplitude in dB How do Sound Pressure Levels add when listening? What is amplitude? 
Adding of equal strong coherent signals

Formulas: Δ L = 20 × log n or n = 10^{(ΔL/20)}
Δ L = level difference; n = number of equal coherent sources.
n = 2 coherent sources of equal level result in a higher level of 20 × log_{10} 2 = +6.02 dB compared to the case that only one source is available. n = 3 coherent sources of equal level result in a higher level of 20 × log_{10} 3 = +9.54 dB compared to the case that only one source is available. n = 4 coherent sources of equal level result in a higher level of 20 × log_{10} 4 = +12.04 dB compared to the case that only one source is available. n = 10 coherent sources of equal level result in a higher level of 20 × log_{10} 10 = +20.00 dB compared to the case that only one source is available. 
Adding (combining) equal strong coherent sources
Simply enter the value to the left or the right side. The calculator works in both directions of the ↔ sign. 
The total level in dB is the level of one source plus the increase of level in dB.
See also: 
back  Search Engine  home 