THD to dB - convert percent to decibels dB and dB decibels to percentage percent voltage % vs per cent converter THD+N distortions calculation signal distortion factor attenuation in dB to distortion factor k in percent decibel damping

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.

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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 smaller than 1 or less than 100 %,
therefore the distortion attenuation must be a negative dB value.
Distortion attenuation:

in dB. Input k in percent.
Distortion factor THD:

in %. Input a_k in dB with a minus sign.

k	k (%)	a_k
Number	Percent	dB
1	100	0
0.1	10	−20
0.01	1	−40
0.001	0.1	−60
0.0001	0.01	−80
0.00001	0.001	−100

THD in dB

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

Conversion: distortion attenuation and distortion factor THD - sengpielaudio

percent

Enter simply the value to the left or the right side, and use the TAB
key or click the mouse to an empty space on the page to get to the
solution. The calculator works in both directions of the ↔ sign.
The distortion attenuation in dB must begin with a minus sign.

Don't forget the minus sign, when entering the distortion attenuation in decibels.

THD+N is always larger in practice than the purely harmonious distortion
factor THD. For this reason, unscrupulous (or clever, depending on your
viewpoint) manufacturers choose to spec just THD, instead of the more
meaningful and easily compared THD+N. (These words are from RANE).

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Distortion factor k (THD): percent (%)	↔	Distortion attenuation a: dB
k = THD
0 dB ≡ 1 = 100 percent