SaM - Characteristics of a Sensor

1. Sensitivity
2. Resolution
3. Working Range & Safe Range
4. Accuracy (or Maximum Error)
   You want to know the quantity $g_v$ (real value), you use a sensor to measure it, the sensor is not perfect (we expect the sensor to have an input-output function $f$ instead this specific sensor has a function $f_N$ different from the real one $f$).
   So instead of reading the value $e_v$ (expected/real value) you will read an electrical value $e_m$, then you will “traduce” this already wrong value into the measured value $g_m$ using this formula $g_m=f^{-1}(e_m)$ where $f$ is the correct function, given by the producer, but not the nominal one $f_N$ so it will introduce another error.
   So this are the passages:
   1. $e_m=f(g_v)$
   2. $g_m=f_N^{-1}(e_m)$
   3. ${\tilde{e}}_g=g_v-g_m\text{or}{\tilde{e}}_g=g_v-f_N^{-1}(f(g_v))$
   4. We define the accuracy as: $\max \left({\tilde{e}}_g\right)$
5. Calibration
6. Non-Linearity Error (only for linear sensors)
7. Rise Time