Distortion attenuation

The harmonic distortion or harmonic distortion is quantitatively represented by the logarithm , in decibels or Neper defined size Klirrdämpfungsmaß (DIN 40148-3 "transmission systems and four-poles") as a measure of distortion of sounds or signals through non-linear devices .

The degree of distortion attenuation is a number derived from the distortion factor : ${\displaystyle L_{k}}$ ${\displaystyle k}$

${\displaystyle {\begin{alignedat}{2}L_{k}&=-20\cdot \,&&\lg k\ \mathrm {dB} \\&=\quad 20\cdot \,&&\log _{10}{\frac {1}{k}}\ \mathrm {dB} \\&=&&\ln {\frac {1}{k}}\ \mathrm {Np} \end{alignedat}}}$

Examples

${\displaystyle {\begin{alignedat}{2}k=5\,\%=0{,}05\quad &\Leftrightarrow \quad {\frac {1}{k}}=20&&\Rightarrow L_{k}=26\ \mathrm {dB} \approx 3{,}00\ \mathrm {Np} \\k=1\,\%=0{,}01\quad &\Leftrightarrow \quad {\frac {1}{k}}=100\quad &&\Rightarrow L_{k}=40\ \mathrm {dB} \approx 4{,}61\ \mathrm {Np} \end{alignedat}}}$

Since is always , the specified definition gives the degree of distortion attenuation . This definition is analogous to the definition in DIN 40148-1 "Transmission systems and two-port": ${\displaystyle k<1}$ ${\displaystyle L_{k}>0}$

• If : You use the damping factor . This is the amount of damping . ${\displaystyle {\tfrac {\text{Ausgangssignal}}{\text{Eingangssignal}}}={\frac {1}{D}}<1}$ ${\displaystyle D}$ ${\displaystyle \ln D>0}$
• If : One uses the transmission or gain factor . This is the transfer rate . ${\displaystyle {\tfrac {\text{Ausgangssignal}}{\text{Eingangssignal}}}=T>1}$ ${\displaystyle T}$ ${\displaystyle \ln T>0}$