3-point smoothing consists of computing each data point of the source
waveform
according to the formula:
Y(i)
W(i-1) W(i) W(i+l)
+ +
4 2 4
where W(i) is the
th
point of the source waveform and Y(i) is the i
th
point of the computed waveform. If the maximum number of data points,
specified in the third llne of the setup menu, is smaller than the
original number of points, the smoothing is applied to the reduced data
record.
5-point smoothing consfsts of the application of 3-point smoothing
twice in sequence. Similarly, 7-point and 9-point smoothing are
computed by applying 3-point smoothing 3 and 4 times.
The resulting averaging formula for 5-point smoothing is:
W(i-2) W(i-l) W(i)*6 W(i+l)
Y(i) = + + +
16 4 16 4
16
Whereas, for 7-point smoothing, it is:
W(i-3) W(i-2)’6 W(i-l)*15 W(i)*20 W(i+l)*15
Y(i) = +- + +
64 64 64 64 64
W(i+2 )*6 W(i+3)
+ +
64 64
And for 9-point smoothing:
Y(i)
W(i-4) W(i-3).8 W(i-2).28 V(i-I).56
+ + + +
256 256 256 256
256
W(i+i)’56 W(i+2)’28 W(i+3)’8
+ + +
256 256 256 256
I0-7
WPOI Waveform Processing Option
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