Difference between revisions of "FC Analysis"

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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
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=FC analysis using ADC channel current distribution=
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For each ADC channel:
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<math> ADCSum^{channel}=\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}</math><br>
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<math> ADCErr^{channel}=\sqrt{\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{pulses}}</math><br>
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For distribution over all ADC channel:
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<math> ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math><br>
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<math> ADC^{err}=\frac{\sum_{i=1}^{16}{ADCErr^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math><br>
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=FC analysis using pulse by pulse ADC channel mean value distribution=
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For each beam pulse:
 
For each beam pulse:
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<math> ADC^{avg}_{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math>
  
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For distribution over all beam pulses:
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<math> ADC^{avg}=\frac{\sum_{i=1}^{pulses}{ADC^{avg}_{pulse}}}{pulses}</math><br>
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<math> ADC^{err}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC^{avg}_{pulse} - ADC^{avg}\right)^{2}}}}</math>
  
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For distribution over all beam pilses:
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Here is:<br>
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1. ADC# = bridge#<br>
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2. Pulse# = ReadOut# = Entry# = Event#
  
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[[File:FC_data_23.png]]<br><br>
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[[File:FC_plot_2_4.png]]
  
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<br><br>Some examples of ADC mean value distribution. Here are:<br>
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1. x axis: ADC mean value for one pulse<br>
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2. y axis: number of pulse w/ that ADC mean value<br>
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[[File:1477_1.png]][[File:1473_1.png]]<br>
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[[File:1461_1.png]][[File:1465_1.png]]<br><br>
  
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<br>[[File:FC_calculation_2_3.png]]<br><br>
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=3D Faraday cup plot=
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[[File:FC_plot_2_3.png]]<br><br>
 
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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).
  
 
[[File:Far.jpg]]
 
[[File:Far.jpg]]
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=Faraday cup ADC channel distribution=
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=Faraday cup rain=
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[http://wiki.iac.isu.edu/index.php/FC_Analysis Go Up]

Latest revision as of 03:57, 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

3D Faraday cup plot

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

Faraday cup ADC channel distribution

Faraday cup rain

Go Up

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