Modelling specified logarithmic Alpha characteristics

Fit to logarithmic Alpha characteristics

The following slideshow containing reproductions of the piecewise fittings to the logarithmic Alpha characteristics. These have been separated for improved clarity, and can be scrolled through with the arrows at each side of the image.

(1/6) Alpha logarithmic characteristic 05A.
(2/6) Alpha logarithmic characteristic 10A.
(3/6) Alpha logarithmic characteristic 15A.


Transitional values of piecewise function for logarithmic characteristics

The corresponding transitional values for these functions are shown in the below table.

Optimised transition points of the general cubic-linear piecewise function, fit to measured logarithmic potentiometer characteristics. Values are rounded to 3 decimal places.
1 2 3
x y x y x y
- 0.000 0.000 0.000 0.000 0.000 0.000
Lin. 0.071 0.005 0.119 0.008 0.000 0.000
Cub. 0.239 0.045 0.339 0.080 0.285 0.053
Lin. 0.603 0.215 0.553 0.188 0.598 0.199
Cub. 0.659 0.368 0.670 0.328 0.669 0.349
Lin. 0.850 0.939 0.904 0.980 0.869 0.941
Cub. 0.908 0.997 0.950 1.000 0.924 0.997
Lin. 1.000 1.000 1.000 1.000 1.000 1.000