FC Analysis
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}=\frac{\sum_{i=1}^{pulses}{ADC_{pulse}^{channel}}}{\sqrt{pulses}}; }[/math]
For distribution over all beam pulses:
[math]\displaystyle{ ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses}; }[/math]
[math]\displaystyle{ ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{avg}^{pulse} - ADC_{avg}\right)^{2}}}}; }[/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_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{avg}^{pulse}}}{pulses}; }[/math]
[math]\displaystyle{ 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#
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).
