FC Analysis: Difference between revisions
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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] | ||
For each | =FC analysis using ADC channel current distribution= | ||
<math> | For each ADC channel: | ||
<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><br> | |||
For distribution over all | For distribution over all ADC channel: | ||
<math> | <math> ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math><br> | ||
<math> | <math> ADC^{err}=\frac{\sum_{i=1}^{16}{ADCErr^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}}</math><br> | ||
<br>Here is:<br> | |||
=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><br> | |||
<math> ADC^{err}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC^{avg}_{pulse} - ADC^{avg}\right)^{2}}}}</math> | |||
Here is:<br> | |||
1. ADC# = bridge#<br> | 1. ADC# = bridge#<br> | ||
2. Pulse# = ReadOut# = Entry# = Event# | 2. Pulse# = ReadOut# = Entry# = Event# | ||
[[File:FC_data_23.png]]<br><br> | |||
[[File:FC_plot_2_4.png]] | |||
<br> | <br><br>Some examples of ADC mean value distribution. Here are:<br> | ||
1. x axis: ADC mean value for one pulse<br> | |||
1. x axis: ADC mean value for one pulse | |||
2. y axis: number of pulse w/ that ADC mean value<br> | 2. y axis: number of pulse w/ that ADC mean value<br> | ||
[[File: | [[File:1477_1.png]][[File:1473_1.png]]<br> | ||
[[File: | [[File:1461_1.png]][[File:1465_1.png]]<br><br> | ||
[[File: | |||
=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). | 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]] | ||
=Faraday cup ADC channel distribution= | |||
=Faraday cup rain= | |||
[http://wiki.iac.isu.edu/index.php/FC_Analysis Go Up] | [http://wiki.iac.isu.edu/index.php/FC_Analysis Go Up] | ||
Latest revision as of 03:57, 5 April 2010
FC analysis using ADC channel current distribution
For each ADC channel:
[math]\displaystyle{ ADCSum^{channel}=\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}} }[/math]
[math]\displaystyle{ ADCErr^{channel}=\sqrt{\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{pulses}} }[/math]
For distribution over all ADC channel:
[math]\displaystyle{ ADC^{avg}=\frac{\sum_{i=1}^{16}{ADCSum^{channel}*i}}{\sum_{i=1}^{16}{ADC_{i}}} }[/math]
[math]\displaystyle{ 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]\displaystyle{ 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]\displaystyle{ ADC^{avg}=\frac{\sum_{i=1}^{pulses}{ADC^{avg}_{pulse}}}{pulses} }[/math]
[math]\displaystyle{ 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#
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
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).
