光谱学与光谱分析 |
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Application of Fractal Theory to Spectral Signal Recognition |
XIONG Yu-hong, WEN Zhi-yu, ZHANG Liu-qiang, WEN Zhong-quan, LIANG Yu-qian |
College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China |
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Abstract The fractal theory is a discipline that studies a kind of irregular and chaotic object with similarity of its part and whole. The fractal dimension is a basic index mark of irregularity and self-similarity in the fractal theory. The present paper takes the spectral signal according with Lambert-beer’ law as the object, introduces the basic theory of fractal geometry in brief, puts forward the method of fractal dimension as the feature of spectral signal recognition, makes use of reconstructing phase space to gain the fractal dimension of spectral signal, compares different values of the fractal dimension to recognize different spectral signal, and gives an example for explanation.
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Received: 2005-01-28
Accepted: 2005-06-28
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Corresponding Authors:
XIONG Yu-hong
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Cite this article: |
XIONG Yu-hong,WEN Zhi-yu,ZHANG Liu-qiang, et al. Application of Fractal Theory to Spectral Signal Recognition[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2006, 26(04): 772-774.
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URL: |
https://www.gpxygpfx.com/EN/Y2006/V26/I04/772 |
[1] CHEN Guo-an,ZHANG Xiao-yun,GE Shi-rong(陈国安,张晓云,葛世荣). Construction Machinery(建筑机械),1999,(1):47. [2] JIANG Dong-xiang,HUANG Wen-hu,XU Shi-chang(蒋东翔,黄文虎,徐世昌). Journal of Harbin Engineering University(哈尔滨工业大学学报),1996,17(2):27. [3] XU Yu-xiu,YUAN Pei-xin,YANG Wen-ping(徐玉秀,原培新,杨文平). Fractal and Wavelet Method of Complicated Machinery Fault Diagnosis(复杂机械故障诊断的分形与小波方法). Beijing: The Publishing Company of Machinery Industry(北京:机械工业出版社),2003. 104. [4] CHEN Shi-hua,LU Jun-an(陈士华,陆君安). The Foundation of Chaos Dynamics(混沌动力学初步). Wuhan: The Publishing Company of Wuhan Hydraulic and Electric Engineering University(武汉:武汉水利电力大学出版社),1998. 96. [5] LIU Shi-da(刘式达). An Introduction of Fractal and Fractal Dimension(分形和分维引论). Beijing: The Meteorologic Publishing Company(北京:气象出版社),1993. 90.
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