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2024年10月30日

A Study of Non-Binary Discontinuity Wavelet

  • This paper gives a study of non-binary discontinuity wavelet, put forward the theory and method of constituting basic wavelet functions, and has constituted concretely a wavelet function using λ=3.4 as an example. It also conducts a theoretical inference on the decomposition algorithm and reconstruction algorithm of non-binary wavelet, and gives a concrete study of the change of matrix in connection with λ=3.4. In the end, it shows the future of application of the result to the study of high energy collision.
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  • [1] . XU Chang-Fa, LI Guo-Kuan. Practical Wavelet Method.Wuhan: Publisher of Huazhong University of Science and Technology, 2001. 42-53(in Chinese)(徐长发,李国宽.实用小波方法.武汉:华中科技大学出版社,2001. 42-53)2. LI Bi-Cheng, LOU Jian-Shu.Wavelet Analysis and Wavelet Application. Beijing: Publisher of Electronics Industry,2003. 9-38(in Chinese)(李弼程,罗建书.小波分析及其应用.北京:电子工业出版社,2003.9-38)3. Greiner M, Lipa P, Carruthers P. Phys, Rev., 1995, E51:1948-19524. Greiner M, Giesemann J, Lipa P et al. Z. Phys., 1996, C69:305-3105. ZHANG Huang et al. Phys. Rev., 1996, D54: 750-7606. LIN Hai, LIU Lian-Shou. HEP NP, 1998, 22(6): 529-537(in Chinese)(林海,刘连寿.高能物理与核物理,1998, 22(6): 529-537) 7. LIN Hai, LIU Lian-Shou. Chinese Sience Bulletin, 1995,40(6): 502-505(in Chinese)(林海,刘连寿.科学通报,1995, 40(6): 502-505)8. LIN Hai, LIU Lian-Shou. HEP NP, 1997, 21(6): 513-522(in Chinese)(林海,刘连寿.高能物理与核物理,1997, 21(6): 513-522)9. LIN Hai, LIU Lian-Shou. HEP NP, 1996, 20(7): 625-634(in Chinese)(林海,刘连寿.高能物理与核物理., 1996, 20(7): 625-634)10. LIN Hai, ZHAO Ren, LIU Lian-Shou. HEP NP, 1998,22(6): 522-528(in Chinese)(林海,赵仁,刘连寿.高能物理与核物理,1998, 22(6): 522-528)11. Albert Boggess, Narcowich Francis J. A First Course in Wavelet with Fourier Analysis. Beijing: Publishing House of Electronics Idustry, 2002. 183-24212. ZHAO Kai, WANG Zong-Hua. Wavelet Transform and Application on the Analytical Chemistry. Beijing: Geological Publishing House, 2000. 70-99(in Chinese)(赵凯,王宗花.小波变换及其在分析化学中的应用.北京:地质出版社,2000. 70-99)13. CHENG Zheng-Xing.Wavelet Analysis Arithmetic and Application. Xian: Publisher of Xi'an Jiaotong University,1998. 20-56(in Chinese)(程正兴.小波分析算法与应用.西安:西安交通大学出版社1998. 20-56 )
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Get Citation
LIN Hai and LIU Lian-Shou. A Study of Non-Binary Discontinuity Wavelet[J]. Chinese Physics C, 2006, 30(7): 646-651.
LIN Hai and LIU Lian-Shou. A Study of Non-Binary Discontinuity Wavelet[J]. Chinese Physics C, 2006, 30(7): 646-651. shu
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Received: 2005-11-23
Revised: 2006-01-26
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A Study of Non-Binary Discontinuity Wavelet

    Corresponding author: LIN Hai,
  • Yanbei Normal Institute, Datong 037009, China2 Huazhong Normal University, Wuhan 430070, China

Abstract: This paper gives a study of non-binary discontinuity wavelet, put forward the theory and method of constituting basic wavelet functions, and has constituted concretely a wavelet function using λ=3.4 as an example. It also conducts a theoretical inference on the decomposition algorithm and reconstruction algorithm of non-binary wavelet, and gives a concrete study of the change of matrix in connection with λ=3.4. In the end, it shows the future of application of the result to the study of high energy collision.

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