MICRO-EPSILON C-Box/2A Operating Instructions Manual page 33

Operation
Fig. 14 Moving average, N = 8
Recursive average:
Formel:
M
Each new measurement value MV(n) is added, as a weighted value, to the (n-1)-fold of the previous avera-
ging value.
Recursive averaging allows for very strong smoothing of the measurements, however it requires long re-
sponse times for measurement jumps. The recursive average value shows low-pass behavior.
C-Box/2A
Signal without averaging
Signal with averaging
MV + (N-1) x M
(n) = (n) rec (n-1)
rec N
Application tips
- Smooths measured values
- The effect can be finely controlled in comparison
with the recursive averaging.
- With uniform noise of the measured values
- without spikes
- At a slightly rough surface, in which the rough-
ness should be eliminated.
- Also suitable for measured value jumps at rela-
tively low settling time
MV = measured value,
N = averaging value, N = 1 ... 32768
n = measurement index
M = average value or output value
rec
Page 33