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

Abstract
HTML
Reference
Related

PDF

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

[1]	Hao Wen , Fang-Yu Li , Jin Li , Zhen-Yun Fang , Andrew Beckwith . Very high-frequency gravitational waves from magnetars and gamma-ray bursts. Chinese Physics C, 2017, 41(12): 125101. doi: 10.1088/1674-1137/41/12/125101
[2]	Jian Liu , Jinjuan Zhang , Chang Xu , Zhongzhou Ren . Nuclear longitudinal form factors for axially deformed charge distributions expanded by nonorthogonal basis functions. Chinese Physics C, 2017, 41(5): 054101. doi: 10.1088/1674-1137/41/5/054101
[3]	Jian-Guo Qin , Cai-Feng Lai , Rong Liu , Tong-Hua Zhu , Xin-Wei Zhang , Bang-Jiao Ye . Monte Carlo simulation of prompt γ-ray spectra from depleted uranium under D-T neutron irradiation and electron recoil spectra in a liquid scintillator detector. Chinese Physics C, 2016, 40(3): 036201. doi: 10.1088/1674-1137/40/3/036201
[4]	Zhe Chang , Xin Li , Hai-Nan Lin , Yu Sang , Ping Wang , Sai Wang . Constraining Lorentz invariance violation from the continuous spectra of short gamma-ray bursts. Chinese Physics C, 2016, 40(4): 045102. doi: 10.1088/1674-1137/40/4/045102
[5]	CHEN Tian-Xiang , LI Cheng , SUN Yong-Jie , CHEN Hong-Fang , SHAO Ming , TANG Ze-Bo , YANG Rong-Xing , ZHOU Yi , ZHANG Yi-Fei . A cosmic ray test platform based on high time resolution MRPC technology. Chinese Physics C, 2015, 39(5): 056003. doi: 10.1088/1674-1137/39/5/056003
[6]	HU Ting-Ting , SHUAI Lei , WANG Pei-Lin , FENG Bao-Tong , ZHANG Yi-Wen , SUN Yun-Hua , LI Xiao-Hui , WEI Shu-Jun , SHAN Bao-Ci , WEI Long . Design of data acquisition system and algorithm research for omnidirectional gamma-ray positioning equipment. Chinese Physics C, 2014, 38(1): 018202. doi: 10.1088/1674-1137/38/1/018202
[7]	ZENG Guo-Qiang , ZHANG Qing-Xian , LI Chen , TAN Cheng-Jun , GE Liang-Quan , GU Yi , CHENG Feng . Digital logarithmic airborne gamma ray spectrometer. Chinese Physics C, 2014, 38(7): 076001. doi: 10.1088/1674-1137/38/7/076001
[8]	ZHANG Fei , WANG Huan-Yu , PENG Wen-Xi , LIANG Xiao-Hua , ZHANG Chun-Lei , CAO Xue-Lei , JIANG Wei-Chun , ZHANG Jia-Yu , CUI Xing-Zhu . High resolution solar soft X-ray spectrometer. Chinese Physics C, 2012, 36(2): 146-150. doi: 10.1088/1674-1137/36/2/008
[9]	CHEN Zhi-Lin , SONG Guo-Yang , MU Long , WANG He-Yi , XING Shi-Xiong , GUO Hong-Bo , LIAO Zhen-Xing , CHEN Ping , HUA Sheng . Optimum condition of efficiency functions for HPGe γ-ray detectors in the 121-1408 keV energy range. Chinese Physics C, 2010, 34(5): 560-564. doi: 10.1088/1674-1137/34/5/009
[10]	DAI Qiu-Sheng , ZHAO Cui-Lan , ZHANG Hua-Lin , QI Yu-Jin . Investigation of high resolution compact gamma camera module based on a continuous scintillation crystal using a novel charge division readout method. Chinese Physics C, 2010, 34(8): 1148-1152. doi: 10.1088/1674-1137/34/8/021
[11]	WANG Si-Guang , MAO Ya-Jun , TANG Pei-Jia , ZHU Bo , LIANG Yu-Tie . A method for interpolating asymmetric peak shapes in multiplet γ-ray spectra. Chinese Physics C, 2009, 33(5): 383-386. doi: 10.1088/1674-1137/33/5/013
[12]	WANG Wen-Xin , ZHANG Yi , WANG Ji-Jin , HU Bi-Tao . Study on spatial resolution of micromegas as a neutron detector under condition of high neutron flux and γ ray background. Chinese Physics C, 2009, 33(2): 110-113. doi: 10.1088/1674-1137/33/2/007
[13]	ZHAI Zhang-Yin , WU Xiao-Shan , JIA Quan-Jie . High resolution X-ray diffraction investigation of epitaxially grown SrTiO₃ thin films by laser-MBE. Chinese Physics C, 2009, 33(11): 949-953. doi: 10.1088/1674-1137/33/11/004
[14]	WANG Ji-Ke , MAO Ze-Pu , BIAN Jian-Ming , CAO Guo-Fu . BESⅢ track fitting algorithm. Chinese Physics C, 2009, 33(10): 870-879. doi: 10.1088/1674-1137/33/10/010
[15]	ZHU Meng-Hua , LIU Liang-Gang , YOU Zhong , XU Ao-Ao . Heuristic approach for peak regions estimation in gamma-ray spectra measured by a NaI detector. Chinese Physics C, 2009, 33(3): 205-209. doi: 10.1088/1674-1137/33/3/009
[16]	HUA Zheng-Dong , XU Xun-Jiang , WANG Jian-Hua , LIU Shu-Dong , LI Jian-Ping . Study of the energy response of high pressure ionization chamber for high energy gamma-ray. Chinese Physics C, 2008, 32(5): 370-372. doi: 10.1088/1674-1137/32/5/008
[17]	Ding Linkai , Dai Benzhong , Feng Zhenyong , Huang Qing , Huo Anxiang , Jia Huanyu , Labaciren , Mei Dongming , Meng Lie , Meng Xianru , Mu Jun , Ren Jingru , Shi Zhizheng , Tan Youheng , Wang Hui , Yu Guangce , Zhaxiciren , Zhaxisanzhu , Zhou Wende , Zhang Chunsheng , Zhang Huimin . Search for 10 TeV Gamma-Ray Bursts with the Tibet Air Shower Array. Chinese Physics C, 1997, 21(S3): 9-16.
[18]	Zhang Tianbao , Wang Shuying , Wang Haidong , Shen Zhiqi , Meng Bonian . Precise Measurement of Gamma Ray Energies with HPGe Spectrometer by Slithering Comparison Method. Chinese Physics C, 1993, 17(S1): 25-31.
[19]	Ren Jingru , Huo Anxiang , Lu Suiling , Su Shi , Wang Chengrui , Zhang Naijian , Cao Peiyuan , Li Jinyu , Zou Baotang , Wang Shizhi , Geng Qingxi , Bai Guangzhi , Mu Jun , Zhou Wende . Gamma-Ray Family Events With Large-Distant Double Cores. Chinese Physics C, 1989, 13(S1): 1-8.
[20]	HO YU-KUN . NEUTRON CAPTURE GAMMA RAY SPECTRA AT LOW ENERGY. Chinese Physics C, 1981, 5(6): 732-740.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3301)
PDF Downloads(847)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article