How to find full width at half max for non-Gaussian peaks.

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SUMMARY

The discussion focuses on characterizing non-Gaussian peaks in a signal using Full Width at Half Maximum (FWHM) as a measure. The peaks are described as distinct bumps on a 1/ln(x) curve rather than traditional Gaussian shapes. A suggested method for determining the width of these peaks involves calculating the curvature, specifically the second derivative, at the peak's tip. This approach is recommended when a fitting function for the background width is not available.

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  • Understanding of Full Width at Half Maximum (FWHM) measurement
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  • Familiarity with derivatives and curvature in mathematical analysis
  • Experience with data analysis tools for peak characterization
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This discussion is beneficial for data analysts, signal processing engineers, and researchers working with non-Gaussian data who need to accurately characterize peak properties in their signals.

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I have a signal that has several distinct peaks. I need to characterize these peaks by their max y value, their x location, and their width. I thought FWHM would be a good measure. However, these peaks are just from a data logger. They are pretty Gaussian curves. Furthermore, the curve doesn't go to zero in between peaks. The peaks are more of like distinct bumps on a 1/ln(x) curve. Any idea on how characterize the width of these peaks?

Thanks
 
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If you don't have a function that you can fit the background width (which would be better), and if the peaks all have qualitatively the same shape, then you could try calculating the curvature (second derivative) at the tip of the peak.
 

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