噪声对滑动移除近似熵的影响

金红梅; 何文平; 张文; 冯爱霞; 侯威

doi:10.7498/aps.61.129202

摘要

受外强迫和仪器本身的测量误差等因素的影响, 观测数据中经常包含噪声和扰动等一些虚假的信息. 针对这一问题, 本文研究了各种不同噪声对滑动移除近似熵的影响. 研究结果表明, 滑动移除近似熵的检测结果受尖峰噪声和高斯白噪声的影响较小, 意味着其具有很强的抗噪能力, 这为该方法在实际观测资料中的广泛应用提供了坚实的实验基础.

关键词:

Affected by some factors such as external forcing and the measurement errors of instrument itself, observational data often contain noises, disturbances and some other false information. To solve this problem, the effects of different noises on moving cut data-approximate entropy (MC-ApEn) are investigated in this paper. The results indicate that MC-ApEn is little affected by random spikes and Gaussian white noise, which means that the MC-ApEn method has strong anti-noise ability. The results provide an essential experimental basis for the wide applications of the present method to observational data.

Keywords:

作者及机构信息

1.
兰州大学大气科学学院, 兰州 730000;

2.
国家气候中心, 北京 100081

基金项目: 本工作受全球变化重大研究计划 (2012CB955203)、国家自然科学基金(批准号: 40930952, 41175067和40905034), 公益性行业(气象)科研专项(批准号: GYHY201106016和GYHY201106015)和国家科技支撑计划(批准号: 2007BAC29B01和2009BAC51B04)资助的课题.

Authors and contacts

1.
Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China;

2.
National Climate Center, China Meteorological Administration, Beijing 100081, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB955203), the National Natural Science Foundation of China (Grant Nos. 40930952, 41175067 and 40905034), the Special Scientific Research Fund of Public Welfare Profession of China (Grant Nos. GYHY201106016 and GYHY201106015), and the State Key Program of Science and Technology of China (Grant Nos. 2007BAC29B01, 2009BAC51B04).

参考文献

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[23]	Elsner B J, Niu X, Jagger T 2004 J. Cliamte 4 2652
[24]	Solow A R, Beet A R 2005 Fish. Oceanoger 14 236
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[26]	Audrey L M, Christopher W P, Heriberto C 2006 Ecological Modelling 95 72
[27]	István M 2011 Theor Appl Climatol 401 4
[28]	Brian D F, Heriberto C, Christopher W P 2003 J. Theoretical Biology 222 517
[29]	Wan S Q, Gong Z Q, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5487 (in Chinese) [万仕全, 封国林, 董文杰, 李建平 2005 54 5487]
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[31]	Feng G L, Hou W, Dong W J 2006 Acta Phys. Sin. 55 962 (in Chinese) [封国林, 侯威, 董文杰 2006 55 962]
[32]	Zhang W, Gao X Q, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2657 (in Chinese) [张文, 高新全, 董文杰, 李建平 2006 55 2657]
[33]	Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强, 封国林, 董文杰, 李建平 2006 55 3180]
[34]	Wan S Q, Feng G L, Dong W J, Li J P, Gao X Q, He W P 2005 Chin. Phys. Soc. and IOP Publishing Ltd. 14 628
[35]	Pinus S M 1991 Proc. Natl. Acad. Sci. USA 88 2297
[36]	Pincus S M, Goldberger A L 1994 Am. J. Physiol. 266 H1643
[37]	Pinus S M 1995 Chaos 5 110
[38]	Lei G X, Zeng Y C, Li L 2007 Technical Acoustics 26 111 (in Chinese) [雷国雄, 曾以成, 李凌 2007 声学技术 26 111]
[39]	Li Q, Wang T Y, Leng Y G, He G Y, He H L 2007 Acta Phys. Sin. 56 6803 (in Chinese) [李强, 王太勇, 冷永刚, 何改云, 何慧龙 2007 56 6803]
[40]	Li X F, Yu W L 2008 Acta Phys. Sin. 57 2587 (in Chinese) [刘小峰, 俞文莉 2008 57 2587]
[41]	Xie Y, Xu J X, Yang H J, Hu S J 2002 Acta Phys. Sin. 51 205 (in Chinese) [谢勇, 徐健学, 杨红军, 胡三觉 2002 51 205]
[42]	vCao B, Lv X Q, Zeng M, Wang Z M, Huang S S 2006 Acta Phys. Sin. 55 1696 (in Chinese) [曹彪, 吕小青, 曾敏, 王振民, 黄石生 2006 55 1696]
[43]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 57 1976]
[44]	He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 60 049202]

施引文献

[1]	Shi N 2009 Statistics forecast of Meteorology (Beijing: Metrological press) p270--287 (in Chinese) [施能 2009 气象统计预报(北京: 气象出版社)第270--287页]
[2]	Shi N 2005 Chin. Phys. 14 844
[3]	Dai X G, Wang P, Chou J F 2003 Chin. Sci. Bull. 23 2483
[4]	Jin H M, He W P, Hou W, Zhang D Q 2012 Acta Phys. Sin. 61 (in Chinese) [金红梅, 何文平, 侯威, 章大全 2012 61]
[5]	Li L J, Wang B, Zhou T J 2007 Chin. Sci. Bull. 52 1820 (in Chinese) [李立娟, 王斌, 周天军 2007 科学通报 52 1820]
[6]	Jame M F 2004 Sti. Nasa. Gov. 213249
[7]	Hoffmann P, Jaccobi C 2008 Wiss. Mitteil. Inst. f. Meteor. Univ. Leipzig 42 115
[8]	Gong Z Q, Feng G L, Wan S Q, Li J P 2006 Acta Phys. Sin. 55 477 (in Chinese) [龚志强, 封国林, 万仕全, 李建平 2006 55 477]
[9]	He W P, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 969 (in Chinese) [何文平, 封国林, 董文杰, 李建平 2006 55 969]
[10]	Du J 2002 J. Appl. Meteor. Sci. 13 16 (in Chinese) [杜均 2002 应用气象学报 13 16]
[11]	He W P 2008 Ph. D. Dissertation (Lanzhou: Lanzhou University) p45 (in Chinese) [何文平 2008 博士学位论文 (兰州: 兰州大学)第45页]
[12]	He W P, Wu Q, Cheng H Y, Zhang W 2011 Acta Phys. Sin. 60 029203 (in Chinese) [何文平, 吴琼, 成海英, 张文 2011 60 029203]
[13]	Zuo H J 2001 Meteor. J. Hubei 4 29 (in Chinese) [左惠娟 2001 湖北气象 4 29]
[14]	Wang C T, Li X G, Wang A H 2010 Transaction of Beijing Institute of Technology 30 474 (in Chinese) [汪春霆, 李修国, 王爱华 2010 北京理工大学学报 30 474]
[15]	Thom R 1992 Structural stability and Morphogenesis (Sichuan: Sichuan Education Press) p54--59 (in Chinese) [雷内· 托姆 1992 结构稳定性与形态发生学 (四川: 四川教育出版社) 第54--59页]
[16]	Li S C, Liu F C, Zhao Z Q 2008 Clim. Environ. Res. 13 31 (in Chinese) [李双成, 刘逢媛, 赵志强 2008 气候与环境研究 13 31]
[17]	Feng G L, Dong W J, Gong Z Q, Hou W, Wan S Q, Zhi R 2006 Nonlinear Theories and Methods on Spatial-Temporal Distribution of the Obserbational data (Beijing: the weather publishing company) p5--8 (in Chinese) [封国林, 董文杰, 龚志强, 侯威, 万仕全, 支蓉 2006 观测数据非线性时空分布理论和方法 (北京: 气象出版社) 第5--8页]
[18]	Babak A S, Krishnaprasad P S 2004 EURASIP J. Appl. Signal Processing 15 2295
[19]	Abhisek U, Rastko Z 2006 Electric Power Systems Research 76 815
[20]	Liu S D, Chen J, Liu S K 1999 J. Appl. Meteor. Sci. (Suppl.) 10 10 (in Chinese) [刘式达, 陈炯, 刘式适 1999 应用气象学报(增刊) 10 10]
[21]	Liu S D, Rong P P, Chen J 2000 Acta Meteor. Sin. 58 111 (in Chinese) [刘式达, 荣平平, 陈炯 2000 气象学报 58 111]
[22]	Marko P, Mika R, Mika R 2005 Control Engimeering Laboratory 26 1
[23]	Elsner B J, Niu X, Jagger T 2004 J. Cliamte 4 2652
[24]	Solow A R, Beet A R 2005 Fish. Oceanoger 14 236
[25]	Herron M M, Langway C C 1985 Greenland Ice Core: Geophys. Geochem. Envir. 33 77
[26]	Audrey L M, Christopher W P, Heriberto C 2006 Ecological Modelling 95 72
[27]	István M 2011 Theor Appl Climatol 401 4
[28]	Brian D F, Heriberto C, Christopher W P 2003 J. Theoretical Biology 222 517
[29]	Wan S Q, Gong Z Q, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5487 (in Chinese) [万仕全, 封国林, 董文杰, 李建平 2005 54 5487]
[30]	Feng G L, Gong Z Q, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5494 (in Chinese) [封国林, 龚志强, 董文杰, 李建平 2005 54 5494]
[31]	Feng G L, Hou W, Dong W J 2006 Acta Phys. Sin. 55 962 (in Chinese) [封国林, 侯威, 董文杰 2006 55 962]
[32]	Zhang W, Gao X Q, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2657 (in Chinese) [张文, 高新全, 董文杰, 李建平 2006 55 2657]
[33]	Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强, 封国林, 董文杰, 李建平 2006 55 3180]
[34]	Wan S Q, Feng G L, Dong W J, Li J P, Gao X Q, He W P 2005 Chin. Phys. Soc. and IOP Publishing Ltd. 14 628
[35]	Pinus S M 1991 Proc. Natl. Acad. Sci. USA 88 2297
[36]	Pincus S M, Goldberger A L 1994 Am. J. Physiol. 266 H1643
[37]	Pinus S M 1995 Chaos 5 110
[38]	Lei G X, Zeng Y C, Li L 2007 Technical Acoustics 26 111 (in Chinese) [雷国雄, 曾以成, 李凌 2007 声学技术 26 111]
[39]	Li Q, Wang T Y, Leng Y G, He G Y, He H L 2007 Acta Phys. Sin. 56 6803 (in Chinese) [李强, 王太勇, 冷永刚, 何改云, 何慧龙 2007 56 6803]
[40]	Li X F, Yu W L 2008 Acta Phys. Sin. 57 2587 (in Chinese) [刘小峰, 俞文莉 2008 57 2587]
[41]	Xie Y, Xu J X, Yang H J, Hu S J 2002 Acta Phys. Sin. 51 205 (in Chinese) [谢勇, 徐健学, 杨红军, 胡三觉 2002 51 205]
[42]	vCao B, Lv X Q, Zeng M, Wang Z M, Huang S S 2006 Acta Phys. Sin. 55 1696 (in Chinese) [曹彪, 吕小青, 曾敏, 王振民, 黄石生 2006 55 1696]
[43]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 57 1976]
[44]	He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 60 049202]

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