Recursive Average - MICRO-EPSILON interferoMETER Operating Instructions Manual

Advanced Settings
7.3.3.2

Recursive average

Formula:
MV + (N-1) x
(n)
M (n) =
rec
N
The weighted value of each new measured value MV(n) is added to the sum of the previous average values M
The recursive averaging enables very strong smoothing of the measured values, however it needs very long settling
times for measured value jumps. The recursive average value shows low-pass behavior.
Signal without averaging
Signal with averaging
Fig. 55 Recursive average, N = 8
IMS5x00
MW
N
M
rec (n-1)
n
M
rec
Application tips:
- Allows very strong smoothing of the measured values. Long settling times
for measured value jumps (low-pass behavior)
- Strong smoothing of noise without large spikes
- Well-suited for static measurements to smooth the signal noise particular-
ly strongly
- For dynamic measurements on rough target surfaces to eliminate the
roughness, e.g., paper roughness on paper webs
- To eliminate structures, e.g., targets with uniform groove structures,
knurled turned parts or coarsely milled targets
- Not suitable for highly dynamic measurements
measured value
averaging value, N = 1 ... 32768
measured value index
average value or output value
(n-1).
rec
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