How Coherence Is Used In Curve Fitting - HP 3563A Operating Manual

Control systems analyzer
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How Coherence is Used i n C urve Fitting
Coherence is a function of frequency. Each frequency point in the coherence function is a real
value between 0.0 and 1.0. A value of 1.0 implies that noise does not interfere with the
measurement at that frequency. Averaging allows the measured coherence to converge on the true
coherence, which is a measure of the noise in the system, not the measurement. Additional
averaging gives a better estimate of the coherence and a smaller measurement variance. Thus, as
the coherence at a specific frequency converges to a value farther below 1.0, additional averaging is
needed to obtain a small measurement variance at that frequency.
The results of either the s-domain or z-domain curve fitter can be improved by reducing the
measurement variance across the fit region.
.999 5 ,
across the fit region is
average value of the coherence drops to .95, then 200 averages may be needed for a good fit. There
is not a specific relationship between the number o f averages and the average value of the
coherence needed to obtain a good fit.
Note
Coherence is not used by the curve fitter under any of the following conditions:
When the data comes from a swept-sine measurement.
displayed if
When the data is synthesized.
When the measured data is the result of fewer than four averages.
As
an example, if the average value of the coherence
only 10 averages may be needed to obtain a good fit. However, if the
LAST MEAS
is selected.

How Coherence is Used in Curve Fitting

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Coherence is still
)
Curve Fit
1 6-35

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