Modelling measured linear Alpha characteristics

Fit to linear Alpha characteristics

The following slideshow containing reproductions of the piecewise fittings to measured linear Alpha characteristics.

(1/3) Measured Alpha linear characteristic.
(2/3) Measured Alpha linear characteristic.
(3/3) Measured Alpha linear characteristic.


Transitional values of piecewise function for linear 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 the linear potentiometer characteristic measured directly from Alpha potentiometers. 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. 0.109 0.112 0.076 0.028 0.050 0.000
Cub. 0.389 0.429 0.189 0.187 0.093 0.041
Lin. 0.814 0.871 0.785 0.825 0.951 1.000
Cub. 0.946 1.000 0.944 0.999 0.951 1.000
Lin. 1.000 1.000 1.000 1.000 1.000 1.000