Calculate THD distortion convert percent to decibels dB signal percent voltage % vs converter damping THD+N - sengpielaudio
 
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Converting Decibel to Percentage (%) and vice versa
● Converting Distortion to Decibel ●
 
Signal distortion − Total Harmonic Distortion
 
● Conversion of THD to dB and percentage and vice versa ●
Distortion attenuation a in dB ← → Distortion factor k to %
 
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 amplitude 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 for 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.
 
Asking for "THD expressed as a power ratio" is nonsense.
 
It is also common to specify the THD + N, where N stands for noise.
THD+N.
This test measures everything added to the input signal. Great, since everything that comes out of the unit that isn't the pure test signal is measured and included − harmonics, hum, noise, RFI, buzz ... everything.

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.

Distortions and the dB calculation
 
Distortions as voltage or sound pressure belongs to the field quantities

THD
k k (%) ak (dB)
factor percent decibel
 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
dB and percent width=
percent

Simply enter 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.

The scales of VU meters show decibel values and percentage values.

Scales of dB and percentage

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 musical instruments and voices
 
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