WR6K-OM-E Rev A
ISSUED: October 2003
143
HISTOGRAM THEORY OF OPERATION
An understanding of statistical variations in parameter values is needed for many waveform
parameter measurements. Knowledge of the average, minimum, maximum, and standard
deviation of the parameter may often be enough, but in many cases you may need a more
detailed understanding of the distribution of a parameter's values.
Histograms allow you to see how a parameter's values are distributed over many measurements.
They do this by dividing a range of parameter values into sub-ranges called bins. A count of the
number of parameter values (events) that fall within ranges of the bin itself is maintained for each
bin.
While such a value range can be infinite, for practical purposes it need only be defined as large
enough to include any realistically possible parameter value. For example, in measuring TTL
high-voltage values a range of ±50 V is unnecessarily large, whereas one of 4 V ±2.5 V is more
reasonable. It is the 5 V range that is then subdivided into bins. And if the number of bins used
were 50, each would have a range of 5 V/50 bins or 0.1 V/bin. Events falling into the first bin
would then be between 1.5 V and 1.6 V. While the next bin would capture all events between 1.6
V and 1.7 V, and so on.
After a process of several thousand events, the bar graph of the count for each bin (its histogram)
provides a good understanding of the distribution of values. Histograms generally use the 'x' axis
to show a bin's sub-range value, and the 'Y' axis for the count of parameter values within each
bin. The leftmost bin with a non-zero count shows the lowest parameter value measurements.
The vertically highest bin shows the greatest number of events falling within its sub-range.
The number of events in a bin, peak or a histogram is referred to as its population. The following
figure shows a histogram's highest population bin as the one with a sub-range of 4.3 to 4.4 V
(which is to be expected of a TTL signal).
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Страница 59: ...WR6K OM E Rev A ISSUED October 2003 57 4 Select a language 5 Click Next when the Wizard appears ...
Страница 60: ...Operator s Manual 58 ISSUED October 2003 WR6K OM E Rev A 6 Select Complete setup 7 Click Install ...
Страница 65: ...WR6K OM E Rev A ISSUED October 2003 63 Proper Orientation of Drive ...
Страница 131: ...WR6K OM E Rev A ISSUED October 2003 129 Example ...
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Страница 236: ...Operator s Manual 234 ISSUED October 2003 WR6K OM E Rev A Example 6 ...
Страница 247: ...WR6K OM E Rev A ISSUED October 2003 245 In this figure the panel has been pasted onto the Excel sheet for comparison ...
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Страница 307: ...WR6K OM E Rev A ISSUED October 2003 305 Convolve two signals ...
Страница 327: ...WR6K OM E Rev A ISSUED October 2003 325 How JitterTrack s Interval Error works when Clock Mode is selected ...
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Страница 398: ...Operator s Manual 396 ISSUED October 2003 WR6K OM E Rev A Setting Up the Line Voltage and Current Signals ...
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