Least Squares Fitting of Low-Level Gamma-ray Spectra with B-Spline Basis Functions

TL;DR

This paper introduces a new least squares fitting method using B-spline basis functions to smooth gamma-ray spectra, effectively reducing statistical fluctuations more than traditional methods.

Contribution

It presents a novel, simple, and automatic approach for gamma-ray spectrum smoothing using B-spline basis functions, improving fluctuation reduction.

Findings

Better fluctuation reduction than traditional methods

Method is simple and automatic

Effective for NaI detector gamma-ray spectra

Abstract

In this paper, new methods for smoothing gamma-ray spectra measured by NaI detector are derived. Least squares fitting method with B-spline basis functions is used to reduce the influence of statistical fluctuations. The derived procedures are simple and automatic. The results show that this method is better than traditional method with a more complete reduction of staistical fluctuation.