Difference between revisions of "FC Analysis"
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| Line 4: | Line 4: | ||
For each ADC channel: | For each ADC channel: | ||
<math> ADCSum^{channel}=\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}</math><br> | <math> ADCSum^{channel}=\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}</math><br> | ||
| − | <math> ADCErr^{channel}=\sqrt{\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{pulses}} | + | <math> ADCErr^{channel}=\sqrt{\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{pulses}}</math> |
For distribution over all beam pulses: | For distribution over all beam pulses: | ||
| − | <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses} | + | <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses}</math><br> |
| − | <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}} | + | <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}}</math> |
| Line 20: | Line 20: | ||
For each beam pulse: | For each beam pulse: | ||
| − | <math> ADC_{avg}^{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}} | + | <math> ADC_{avg}^{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math> |
For distribution over all beam pulses: | For distribution over all beam pulses: | ||
| − | <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses} | + | <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses}</math><br> |
| − | <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}} | + | <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}}</math> |
Here is:<br> | Here is:<br> | ||
Revision as of 03:42, 5 April 2010
FC analysis using ADC channel current distribution
For each ADC channel:
For distribution over all beam pulses:
FC analysis using pulse by pulse ADC channel mean value distribution
For each beam pulse:
For distribution over all beam pulses:
Here is:
1. ADC# = bridge#
2. Pulse# = ReadOut# = Entry# = Event#
Some examples of ADC mean value distribution. Here are:
1. x axis: ADC mean value for one pulse
2. y axis: number of pulse w/ that ADC mean value
Below is the plot of the charge in Faraday cup (pC) as a function of magnet current (vertical axis, A) (basically magnetic field) and ADC (horizontal axis).
