I have an exercise that asks for us to determine the model for a system that goes like this:
A battery manufacturer for cars is studying how their batteries behave. The measurements are influenced by gaussian noise with center in 0V and standard deviation equal to 3 Volts. Nominal value for the Battery voltage is 14V. Determine the model for the system, as well as initial values to implement a Kalman Filter (in matlab).
It is quite clear what we want done. But I don't really understand how the centered values for the gaussian distributions could be different, and so I have no idea how to treat it. It is most likely that I have some concepts wrong, can someone explain how to deal with a noise that has a mean value different to the nominal value of the object in analysis?