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The content of pollution gas in atmosphere is generally small, so the photoacoustic signal detected by photoacoustic spectroscopy to monitor is very weak. In this paper, on the basis of Holmes Duffing equation, we propose a new method i.e. variable scale difference method which is quite suitable for photoacoustic signal detection. This method can be used to detect weak signal by transforming the size of signal and then substracting the resulting signal. Theoretical analysis and experimental measurements show that it can well restrain the common-mode noise of system phase space, and it can also highlight the chaos state of critical value. This method has a relative error less than 5%, indicating that it can be effectively used to detect the amplitude of weak photoacoustic signal that has a higher frequency and unknown phase and frequency.
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Keywords:
- photoacoustic cell /
- weak signal detection /
- amplitude /
- duffing
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[1] Meng G, Liu X Y, Yuan C Y, Guo F, Zheng C K, Peng C 2011 Spectrosc. Spect. Anal. 31 1819 (in Chinese) [蒙瑰, 刘先勇, 袁长迎, 郭峰, 郑成坤, 彭琛 2011光谱学与光谱分析 31 1819]
[2] Li X K, Li T T, Ma T 2011 J. Vib. Shock. 30 225 (in Chinese) [李秀坤, 李婷婷, 马涛 2011振动与冲击 30 225]
[3] Zhang J L, Wang P, Wang Z B, Li X, Wang Z W 2010 Spectrosc. Spect. Anal. 30 1722 (in Chinese) [张记龙, 王鹏, 王志斌, 李晓, 王智文2010光谱学与光谱分析 30 1722]
[4] Deng H G, Cao W H, Yang B C, Mei W P, Ao B Q 2012 J. Cent. South Univ. (Science and Technoloy). 43 1773 (in Chinese) [邓宏贵, 曹文晖, 杨兵初, 梅卫平, 敖邦乾2012中南大学学报(自然科学版) 43 1773]
[5] Feng J L, Xu W, Niu Y J 2010 Acta Phys. Sin. 59 157 (in Chinese) [冯进钤, 徐伟, 牛玉俊 2010物理学报 59 157]
[6] Yuan C Y, Liu X Y, Meng G, Zhao L 2010 Spectrosc. Spect. Anal. 30 879 (in Chinese) [袁长迎, 刘先勇, 蒙瑰, 赵亮 2010光谱学与光谱分析 30 879]
[7] Liu H B, Wu D W, Jin W, Wang Y Q 2013 Acta Phys. Sin. 62 050501 (in Chinese) [刘海波, 吴德伟, 金伟, 王永庆 2013物理学报 62 050501]
[8] Gao S L, Zhong S C, Wei J, Ma H 2012 Acta Phys. Sin. 61 180501 (in Chinese) [高仕龙, 钟苏川, 韦鹍, 马洪 2012物理学报 61 180501]
[9] Qin W Y, Su H, Yang Y F 2008 Acta Phys. Sin. 57 2704 (in Chinese) [秦卫阳, 苏浩, 杨永峰2008物理学报 57 2704]
[10] Lai Z H, Leng Y G, Sun J Q, Fan S B 2012 Acta Phys. Sin. 61 050503 (in Chinese) [赖志慧, 冷永刚, 孙建桥, 范胜波2012 物理学报 61 050503]
[11] Wu Y F, Zhang S P, Sun J W 2010 Chin. J. Sci. Instrum. 31 161 (in Chinese) [吴勇峰, 张世平, 孙金玮2010仪器仪表学报 31 161]
[12] Yang B J, LiY, YuanY, Liu X H 2007 Chin. Phys. 16 1072
[13] Deng K, Zhang L, Luo M K 2010 Chin. Phys. B 19 030506
[14] Su L Y, Ma Y J, Li J J 2012 Chin. Phys. B 21 020508
[15] Wang M, Yan Y, Zhang H F 2010 J. Circuits. Syst. 15 118 (in Chinese) [王玫, 颜勇, 张慧峰2010电路与系统学报 15 118]
[16] Yan H, Wei P, Xiao X C 2010 Chin. Phys. B 19 090501
[17] Zhao H, Yin C Q, Shang Q F, Geng Y J 2006 Proceedings of the CSEE. 26 32 (in Chinese) [赵华, 尹成群, 尚秋峰, 耿玉静 2006 中国电机工程学报 26 32]
[18] Wang G Y, Chen D J, Lin J Y, Chen X 1998 Chin. J. Electron. 26 38 (in Chinese) [王冠宇, 陈大军, 林建亚, 陈行 1998 电子学报 26 38]
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