Use of an iterative convolution approach for qualitative and quantitative peak analysis in low resolution gamma-ray spectra

Gardner, R.P.; Ai, Xianyun; Peeples, Cody R.; Wang, Jiaxin; Lee, Kyung Ho; Peeples, Johanna Louise; Calderon, Adan F.

doi:10.1016/j.nima.2010.12.224

Cited by 11 publications

(4 citation statements)

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“…Horn et al, 2000;Strittmatter et al, 2003) and other techniques with similar analysis procedures such as chromatography (see e.g. Fraga and Corley, 2005;Krupcik et al, 2005) and gamma-ray spectroscopy (Hammed et al, 1993;Uher et al, 2010;Gardner et al, 2011). Assessing the precision in the fitting parameters resulting from such deconvolution procedures is important to demonstrate the reliability of the technique and understand the information content of the retrieved data (Hammed et al, 1993).…”

Section: Introductionmentioning

confidence: 99%

Statistical precision of the intensities retrieved from constrained fitting of overlapping peaks in high-resolution mass spectra

Cubison

Jimenez

2015

Atmos. Meas. Tech.

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Abstract. Least-squares fitting of overlapping peaks is often needed to separately quantify ions in high-resolution mass spectrometer data. A statistical simulation approach is used to assess the statistical precision of the retrieved peak intensities. The sensitivity of the fitted peak intensities to statistical noise due to ion counting is probed for synthetic data systems consisting of two overlapping ion peaks whose positions are pre-defined and fixed in the fitting procedure. The fitted intensities are sensitive to imperfections in the m/Q calibration. These propagate as a limiting precision in the fitted intensities that may greatly exceed the precision arising from counting statistics. The precision on the fitted peak intensity falls into one of three regimes. In the "counting-limited regime" (regime I), above a peak separation χ ~ 2 to 3 half-widths at half-maximum (HWHM), the intensity precision is similar to that due to counting error for an isolated ion. For smaller χ and higher ion counts (~ 1000 and higher), the intensity precision rapidly degrades as the peak separation is reduced ("calibration-limited regime", regime II). Alternatively for χ < 1.6 but lower ion counts (e.g. 10–100) the intensity precision is dominated by the additional ion count noise from the overlapping ion and is not affected by the imprecision in the m/Q calibration ("overlapping-limited regime", regime III). The transition between the counting and m/Q calibration-limited regimes is shown to be weakly dependent on resolving power and data spacing and can thus be approximated by a simple parameterisation based only on peak intensity ratios and separation. A simple equation can be used to find potentially problematic ion pairs when evaluating results from fitted spectra containing many ions. Longer integration times can improve the precision in regimes I and III, but a given ion pair can only be moved out of regime II through increased spectrometer resolving power. Studies presenting data obtained from least-squares fitting procedures applied to mass spectral peaks should explicitly consider these limits on statistical precision.

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Section: Introductionmentioning

confidence: 99%

Statistical precision of the intensities retrieved from constrained fitting of overlapping peaks in high-resolution mass spectra

Cubison

Jimenez

2015

Atmos. Meas. Tech.

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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%

An inversion decomposition method for better energy resolution of NaI(Tl) scintillation detectors based on a Gaussian response matrix

Yang

et al. 2016

NUCL SCI TECH

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NaI(Tl) scintillation detectors have been widely applied for gamma-ray spectrum measurements owing to advantages such as high detection efficiency and low price. However, the mitigation of the limited energy resolution of these detectors, which detracts from an accurate analysis of the instrument spectra obtained, remains a crucial need. Based on the physical properties and spectrum formation processes of NaI(Tl) scintillation detectors, the detector response to gamma photons with different energies is represented by photopeaks that are approximately Gaussian in shape with unique full-width-at-half-maximum (FWHM) values. The FWHM is established as a detector parameter based on resolution calibrations and is used in the construction of a general Gaussian response matrix, which is employed for the inverse decomposition of gamma spectra obtained from the detector. The Gold and Boosted Gold iterative algorithms are employed to accelerate the decomposition of the measured spectrum. Tests of the inverse decomposition method on multiple simulated overlapping peaks and on experimentally obtained U and Th radionuclide series spectra verify the practicability of the method, particularly in the low-energy region of the spectrum, providing for the accurate qualitative and quantitative analysis of radionuclides.

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“…The library least-squares fitting will be performed by CEARLLS, which is a code developed to utilize the library least-squares (LLS) method detailed by Salmon (1961). The solver utilized by this code is known as CURMOD (Gardner et al, 2011), which is capable of determining both linear and nonlinear parameters via the Marquardt (1963) combined gradient and linearized search approach described in the text by Bevington (1969). The libraries used for the creation of the unknown spectrum as well as the known elemental libraries for subtraction were created by CEARCPG (Han, 2007).…”

Section: Codes Employedmentioning

confidence: 99%

An analytical approach for treating background in spectral analysis measurements

Miller

Holmes

Gardner

2015

Radiation Physics and Chemistry

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Use of an iterative convolution approach for qualitative and quantitative peak analysis in low resolution gamma-ray spectra

Cited by 11 publications

References 1 publication

Statistical precision of the intensities retrieved from constrained fitting of overlapping peaks in high-resolution mass spectra

Statistical precision of the intensities retrieved from constrained fitting of overlapping peaks in high-resolution mass spectra

An inversion decomposition method for better energy resolution of NaI(Tl) scintillation detectors based on a Gaussian response matrix

An analytical approach for treating background in spectral analysis measurements

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