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CR1000 Manual - Campbell Scientific

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Section 7. Installation<br />

Note N = Number of points in running average)<br />

To calculate the delay in time, multiply the result from the above equation by the<br />

period at which the running average is executed (usually the scan period):<br />

Delay in time = (scan period) (N ‐ 1) / 2<br />

For the example above, the delay is:<br />

Example:<br />

Delay in time = (1 ms) (4 ‐ 1) / 2 = 1.5 ms<br />

Actual test using an accelerometer mounted on a beam whose resonant<br />

frequency is about 36 Hz. The measurement period was 2 ms. The<br />

running average duration was 20 ms (frequency of 50 Hz), so the<br />

normalized resonant frequency is,<br />

36/50 = 0.72, SIN(0.72π) / (0.72π) = 0.34.<br />

The recorded amplitude for this example should be about 1/3 of the<br />

input‐signal amplitude. A program was written with two stored<br />

variables: Accel2 and Accel2RA. The raw measurement was stored in<br />

Accel2, while Accel2RA was the result of performing a running average<br />

on the Accel2 variable. Both values were stored at a rate of 500 Hz.<br />

Figure Running‐Average Signal Attenuation (p. 266) show the two values<br />

plotted in a single graph to illustrate the attenuation (the runningaverage<br />

value has the lower amplitude).<br />

The resultant delay (delay in time) = (Scan rate)(N‐1)/2 = 2 ms (10‐1)/2 =<br />

9 ms. This is about 1/3 of the input‐signal period.<br />

Figure 83: Running-average frequency response<br />

265

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