==The ideal sensor is linear==.
Why the idea sensor is linear?
- Because obviously for a linear domain, for linear sensor we have simplicity, simplicity because the sensitivity is constant:
The Linar Sensor:
- If the sensor is ideal also from the dynamical point of view, an ideal sensor should have an infinite speed.
Therefore this should be true, also for dynamic measurement. - So in this case, I will have that the sensor output can follow the change of the input without distortion.
- So the output will be a perfect copy of the input multiplied by this quantity here, which is the sensitivity ().
- So in this case, I will have the ideal situation:
The output changes immediately, and the shape of the output is exactly the same as the shape of the input. - NOTE: This is a zero order system, more specifiacally a zero order linear system.
==No real system behaves as a zero order linear system==, all systems have a limited adaptation speed, so they can follow the output but with a certain distortion, and a certain delay.