2010
DOI: 10.3329/jsr.v2i2.4372
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Unfolding Low-Energy Gamma-Ray Spectrum Obtained with NaI(Tl) in Air Using Matrix Inversion Method

Abstract: Matrix inversion method is presented to unfold the gamma-ray spectrum obtained with an NaI(Tl) detector using several standard gamma-ray sources. The method is based on response matrix generated by Monte Carlo simulation of mono-energy gamma-ray photon ranging from 10 keV to 1 MeV in step of 10 keV. The comparison of the measured and simulated response function was also performed in order to validate the simulation response function. Good agreement was achieved around the photo-peak region of the spectrum, but… Show more

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Cited by 5 publications
(3 citation statements)
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“…With the continuing development of signal and system theory in conjunction with developing computer technology, convolution methods have been widely applied, and increasing attention has also been devoted to deconvolution methods [10][11][12]. Deconvolution is the inverse operation of convolution.…”
Section: Gaussian Deconvolution Methodsmentioning
confidence: 99%
“…With the continuing development of signal and system theory in conjunction with developing computer technology, convolution methods have been widely applied, and increasing attention has also been devoted to deconvolution methods [10][11][12]. Deconvolution is the inverse operation of convolution.…”
Section: Gaussian Deconvolution Methodsmentioning
confidence: 99%
“…The response matrix gives the probability that a photon is detected. In order to obtain a response matrix 𝑅(𝐸, 𝐸 0 ) one needs to calculate the Peak-to-Total ratio (P/T) (Rahma and Cho, 2010;Almaz et al, 2007). To obtain the peak-to-total ratio, the mono-energetic gamma spectrum peak was fitted to the Gaussian functions, and the peak region was calculated by taking  96 .…”
Section: Peak To Total Ratiomentioning
confidence: 99%
“…The approach used in this study is based on the matrix inversion method, which has been used in several previous studies (see e.g. [32,33]). The unfolding process is presented below and has been adapted from the work of Paulsen et al [33], who provided detailed mathematical justifications.…”
Section: Deconvolution Processmentioning
confidence: 99%