Nonlinear conversions for decibel, neper, bel, and related logarithmic scales.
Each variant is parameterised by a reference level and whether the quantity is power-like (direct dB) or amplitude-like (half-dB, since power = amplitude²).
Summary
Functions
Bel: 10^x (dimensionless power ratio).
Centineper: e^(x/100).
Decibel amplitude: 10^(x/20) (amplitude ratio).
Decibel: 10^(x/10) (dimensionless power ratio).
Neper: e^x (dimensionless amplitude ratio).
Neper (power): Np(2x), i.e. e^(2x) for power quantities.
Functions
Bel: 10^x (dimensionless power ratio).
Centineper: e^(x/100).
Decibel amplitude: 10^(x/20) (amplitude ratio).
Decibel: 10^(x/10) (dimensionless power ratio).
Neper: e^x (dimensionless amplitude ratio).
Neper (power): Np(2x), i.e. e^(2x) for power quantities.