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Improving overall uncertainty
When we look at total measurement uncertainty for the first time, we may
well be concerned as we add up the uncertainty figures. The worst case view
assumes that each source of uncertainty for your spectrum analyzer is at the
maximum specified value, and that all are biased in the same direction at the
same time. Since the sources of uncertainty can be considered independent
variables, it is likely that some errors will be positive while others will be
negative. Therefore, a common practice is to calculate the root sum of
squares (RSS) error.
Regardless of whether we calculate the worst-case or RSS error, there are
some things that we can do to improve the situation. First of all, we should
know the specifications for our particular spectrum analyzer. These
specifications may be good enough over the range in which we are making
our measurement. If not, Table 4-1 suggests some opportunities to improve
accuracy.
Before taking any data, we can step through a measurement to see if any
controls can be left unchanged. We might find that the measurement can be
made without changing the RF attenuator setting, resolution bandwidth, or
reference level. If so, all uncertainties associated with changing these controls
drop out. We may be able to trade off reference level accuracy against display
fidelity, using whichever is more accurate and eliminating the other as an
uncertainty factor. We can even get around frequency response if we are
willing to go to the trouble of characterizing our particular analyzer
2
. This
can be accomplished by using a power meter and comparing the reading of
the spectrum analyzer at the desired frequencies with the reading of the
power meter.
The same applies to the calibrator. If we have a more accurate calibrator, or
one closer to the frequency of interest, we may wish to use that in lieu of the
built-in calibrator. Finally, many analyzers available today have self-calibration
routines. These routines generate error coefficients (for example, amplitude
changes versus resolution bandwidth), that the analyzer later uses to correct
measured data. As a result, these self-calibration routines allow us to make
good amplitude measurements with a spectrum analyzer and give us more
freedom to change controls during the course of a measurement.
Specifications, typical performance, and nominal values
When evaluating spectrum analyzer accuracy, it is very important to have a
clear understanding of the many different values found on an analyzer data
sheet. Agilent Technologies defines three classes of instrument performance
data:
Specifications describe the performance of parameters covered by the prod-
uct warranty over a temperature range of 0 to 55 °C (unless otherwise noted).
Each instrument is tested to verify that it meets the specification, and takes
into account the measurement uncertainty of the equipment used to test the
instrument. 100% of the units tested will meet the specification.
Some test equipment manufacturers use a “2 sigma” or 95% confidence
value for certain instrument specifications. When evaluating data sheet
specifications for instruments from different manufacturers, it is important
to make sure you are comparing like numbers in order to make an accurate
comparison.
2. Should we do so, then mismatch may become a
more significant error.
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