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MCA166-USB
APPENDIX 2 - MCA166-USB algorithm, formulas
This appendix lists the algorithms used by the MiniMCA for the following functions:
● Area, Area uncertainty
● Centroid
● FWHM
● Smooth
● Strip
● Energy Calibration
The Area and the Area Uncertainty Function:
The area algorithm calculates the number of counts above the background in a ROI. The background area is
determined by averaging 4 points on both sides of the peak (the ROI limit points and 3 outer points) and linear
fit:
Area = Integral - Background
Background =
( )
( )
∑∑
+
=−=
+
+−
3
3
*
8
1
end
end
begin
begin
ROI
ROIi
i
ROI
ROIi
i
beginend
SpectrumSpectrum
ROIROI
Integral =
Spectrum
i
i ROI
ROI
begin
end
=
∑
Area Uncertainty =
( )
Integral Spectrum Spectrum
ROI ROI
i i
ROI
ROI
i ROI
ROI
end begin
end
end
begin
begin
+ +
∗
− +
+
= −
∑∑
3
3
2
1
8
where,
Spectrum
i
= the absolute number of counts in channels i
ROI
begin
= the ROI’s start channel
ROI
end
= the ROI’s stop channel
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