Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions

ZHU Meng-Hua; LIU Liang-Gang; QI Dong-Xu; YOU Zhong; XU Ao-Ao

doi:10.1088/1674-1137/33/1/006

Chinese Physics C> 2009, Vol. 33> Issue(1) : 24-30 DOI: 10.1088/1674-1137/33/1/006

Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions

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Abstract：
In this paper, the least square fitting method with the cubic B-spline basis functions is derived to reduce the influence of statistical fluctuations in the gamma ray spectra. The derived procedure is simple and automatic. The results show that this method is better than the convolution method with a sufficient
reduction of statistical fluctuation.

References

[1]

Savitzky A, Golay M J E. Anal. Chem., 1964, 36: 16272 Yule H P. Nucl. Instrum. Methods, 1967, 54: 613 Barnes V. IEEE Trans. Nucl. Sci. NS-15, 1968, 3: 4374 Mills S J. Nucl. Instrum. Methods, 1970, 81: 2175 Blinowska K J, Wessner E F. Nucl. Instrum. Methods,1974, 118: 5976 Inouye T et al. Nucl. Instrum. Methods, 1969, 67: 1257 Kekre H B, Madan V K. Nucl. Instrum. Methods A, 1986,245: 5428 Kekre H B et al. Nucl. Instrum. Methods A, 1989, 279:5969 Hampton C V et al. Nucl. Instrum. Methods A, 1994, 353:28010 Edwards T H, Willson P D. Appl. Spectrosc., 1974, 28:54111 Gorry P A. Anal. Chem., 1990, 62: 57012 Evans S, Hiorns A G. Surf. Interface Anal., 1986, 8: 7113 Black W W. Nucl. Instrum. Methods, 1969, 71: 31714 Mariscotti M A. Nucl. Instrum. Methods, 1967, 50: 30915 Blaauw M. Nucl. Instrum. Methods A, 1993, 336: 27316 Routti J T, Prussin S G. Nucl. Instrum. Methods, 1969,76: 10917 Koskelo M J, Aarnio P A, Routti J T. Nucl. Instrum. Meth-ods, 1981, 190: 8918 Seah M P, Dench W A, Electron J. Spectros. Relat. Phe-nom., 1989, 48: 4319 Morhac M. Nucl. Instrum. Methods A, 2007, 581: 82120 Hayes J G, Halliday J, Inst. J. Maths Applicas., 1974, 14:8921 Saitou N, Iida A, Gohshi Y. Spectrochimica. Acta., 1983,38: 127722 Reinsch C H. Numer. Math., 1967, 10: 177

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ZHU Meng-Hua, LIU Liang-Gang, QI Dong-Xu, YOU Zhong and XU Ao-Ao. Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions[J]. Chinese Physics C, 2009, 33(1): 24-30. doi: 10.1088/1674-1137/33/1/006

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Received: 2008-04-03
Revised: 2008-04-29

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions

Corresponding author: ZHU Meng-Hua,

Received Date: 2008-04-03

Accepted Date: 2008-04-29

Available Online: 2009-01-11

Abstract:

In this paper, the least square fitting method with the cubic B-spline basis functions is derived to reduce the influence of statistical fluctuations in the gamma ray spectra. The derived procedure is simple and automatic. The results show that this method is better than the convolution method with a sufficient
reduction of statistical fluctuation.

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Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions

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