Difference between revisions of "FC Analysis"

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  <math> ADC_{avg}^{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}};</math>
 
  <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 (assuming it's Gaussian):<br>
+
For distribution over all beam pulses:<br>
 
  <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses};</math><br>
 
  <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>
 
  <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}};</math>
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<br>[[File:FC_data_22.png]]<br><br>
 
<br>[[File:FC_data_22.png]]<br><br>
 
[[File:FC_plot_2_4.png]]<br><br>
 
[[File:FC_plot_2_4.png]]<br><br>
 +
Here is the example of ADC mean value distribution for kicker magnet -5.0A:<br>
 +
[[File:-5.0A.jpg]]<br><br>
 +
  
 
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).
 
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).

Revision as of 22:34, 27 March 2010

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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_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses};[/math]
[math] ADC_{sigma}={ \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 22.png

FC plot 2 4.png

Here is the example of ADC mean value distribution for kicker magnet -5.0A:
-5.0A.jpg


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).

Far.jpg

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