3. Differentiate a signal (dt1 and dt1dt1;  dt1dt1 is non causal)

 

 

From signal 2 (speed v in Km/h) a copy is made with differentiate formula, and from this differentiated signal a copy to filter this signal. This is often usefull, because a noisy differentiated signal can be very noisy.

  1. Signal 6 is differentiated with function dt1 with time constate T of 100ms and gain of 10 (/0.1)
    If the acceleartion is 1m/s^2  = 3.6Km/h, then the output of a differentiatior is:
    dv/dt^2  =  v (Km/h) * T * K   ---->   output(m/s-2) =  v * 0.1 / 0.1 /3.6
    If the time constante is 0.5s then the formual must be dt1(0.5)/0.5/3.6 (in this case the differentiated signal is slower, but less noisy)

  2. Signal 7 is filtered twice; from start to end of protocol and from end to start; it is a non-causal filter of 50ms!
    Advantage: there is no phase shift to the original signal; ideal for subsequent documentation or a better view of noisy signals