Difference between revisions of "FC Analysis"

From New IAC Wiki
Jump to navigation Jump to search
Line 8: Line 8:
For distribution over all ADC channel:
For distribution over all ADC channel:
  <math> ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math>
  <math> ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math>
<math> ADC^{err}=\frac{\sum_{i=1}^{16}{ADCErr^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math>
Line 22: Line 18:
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><br>
  <math> ADC^{avg}=\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>
  <math> ADC^{err}={ \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 03:51, 5 April 2010

Go Back

FC analysis using ADC channel current distribution

For each ADC channel:

[math] ADCSum^{channel}=\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}[/math]
[math] ADCErr^{channel}=\sqrt{\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{pulses}}[/math]

For distribution over all ADC channel:

[math] ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}[/math]
[math] ADC^{err}=\frac{\sum_{i=1}^{16}{ADCErr^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}[/math]

FC analysis using pulse by pulse ADC channel mean value distribution

For each beam pulse:

[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:

[math] ADC^{avg}=\frac{\sum_{i=1}^{pulses}{ADC^{avg}_{pulse}}}{pulses}[/math]
[math] ADC^{err}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC^{avg}_{pulse} - ADC^{avg}\right)^{2}}}}[/math]

Here is:
1. ADC# = bridge#
2. Pulse# = ReadOut# = Entry# = Event#

FC data 23.png

FC plot 2 4.png

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
1477 1.png1473 1.png
1461 1.png1465 1.png

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).


Go Up