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Possible Correction to NA DNL
Procedure
Knowing the NA DNL, one should able to correct for it in the TOF spectrum. The method used here was to use variable binning (that is instead of having equal binning as is the usual practice, one bins to the DNL length of the bin as measured in NA gray noise measurements) and normalize each variable bin to the variable bin width.
Results
Below in Figure 7 are the results one gets from applying the variable bin width with normalization to the simulated NA TOF spectra for detector 14. This was done with 212 different sets of DNL values on the same inital TOF spectrum. The top histogram is the "true" dilution factor for this set of simulated data. The bottom histogram is the dilution factor found by applying a fit to the TOF spectrum.
Figure 7
Below in Figure 8 is the ratio of the real to fitted inelastic dilution factor for detector 14. The ratio is consistant with 1 as expected.
Figure 8
Below are plots of the overall results for detectors 1 through 14 inclusive. The top plot is a comparison of the "real" dilution factor and the fitted dilution factor as a function of detector number. The bottom plot is the ratio of the "real" to fitted dilution factor as a function of detector number.
