Calculate THD distortion convert percent to decibels dB signal percent voltage % vs converter damping THD+N - sengpielaudio Checker
 
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Decibel to Percentage Converter
and Distortion  Converter
Signal distortion - Total Harmonic Distortion
Conversion of THD in dB to percentage and vice versa •
Distortion attenuation a in dB ← → Distortion factor k in %

Nonlinear distortions are given as distortion attenuation in dB or as distortion factor k (THD) in percent.
Also the expression THD = Total Harmonic Distortion for signal distortion is well known.

 Distortion attenuation a  dB   |   Distortion factor THD (k)   % 
      |      
  |  
      |      
Distortion factor THD (k) %    |    Distortion attenuation a  dB 
      |    
Fill out the gray box and click at the respective calculation bar under it.
Don't forget to enter the minus sign with the distortion attenuation in decibels.

The distortion factor is always less than 1 or less than 100%, therefore, the Total harmonic distortion
must always a be negative dB value. Total harmonic distortion: Klirrdaempfung   in dB.
Input k in percent. Total harmonic distortion (THD) Klirraktor  in %. Input ak in dB with a
minus sign. To calculate the distortion factor, there are two different formulas:
Klirrfaktor (Distortion att. up to 5%)    Klirrfaktor bis 5%× 100 (THD)
The distortion factor was historically introduced before the THD-value and the ratio of the
effective value of all harmonics to the RMS value of all harmonics plus fundamental frequency, that is
the total signal. The THD is the ratio of RMS signal of all harmonics to the RMS of the fundamental signal.

The distortion factor is always smaller than 1 or less than 100 %,
therefore the distortion attenuation must be a negative dB value.
Distortion attenuation
:   Attenuation   in dB. Input k in percent.
Distortion factor THD:   
Factor   in %. Input ak in dB with a minus sign.

k k (%)      ak     
Number Percent dB
 1  100      0
 0.5    50    −6
 0.2    20  −14
 0.1    10  −20
 0.05      5  −26
 0.02      2  −34
 0.01      1  −40
 0.005      0.5  −46
 0.002      0.2  −54
 0.001      0.1  −60
 0.0005      0.05  −66
 0.0002      0.02  −74
 0.0001      0.01  −80
 0.00005      0.005  −86
 0.00002      0.002  −94
 0.00001       0.001  −100

THD in dB

where V2 to Vx are the amplitudes of harmonics to the fundamental amplitude V1.

dB
Conversion: distortion attenuation and distortion factor THD - sengpielaudio
percent

Enter simply the value to the left or the right side. The calculator
works in both directions of the sign.
The distortion attenuation in dB must begin with a minus sign.

Distortion factor k (THD):
 percent (%)
 ↔  Distortion attenuation a:
 dB
Klirraktor         k = THD   Klirrdaempfung
0 dB 1 = 100 percent
Don't forget the minus sign, when entering the distortion attenuation in decibels.

Addition of harmonic distortion attenuation of multiple devices.

Device 1  dB                 
Device 2  dB
Device 3  dB
Device 4  dB
Distortion sum   dB
Overtones, partials and harmonics from fundamental frequency
Keyboard, frequencies = Naming of musical notes, piano keys
Frequency domain of the musical instruments and voices

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