A Nonlinear Wavelet Method for Data Smoothing of Low-level Gamma-ray Spectra

Smoothing Low Resolution Gamma Spectra

“…There are many smoothing options [4], [9], [10]- [12], some of which adapt better than others to local features of the regression function commonly described by , with conditional average and conditional variance . The main goal of the smoother is to estimate the regression function , the true mean count rate at energy bin in our context, by minimizing the RMSE between the data and the regression function.…”

“…Wavelet analysis is commonly used in signal processing to detect and localize singularities or peaks in a signal [9], [10]. Reference [4] reported good results at peak localization using a somewhat customized wavelets as follows.…”