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Volume 33 Issue 5
Jun.  2011
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Chen Xiao-Jun, Li Zan, Bai Bao-Ming, Pan Wei, Chen Qing-Hua. A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy[J]. Journal of Electronics & Information Technology, 2011, 33(5): 1198-1203. doi: 10.3724/SP.J.1146.2010.00713
Citation: Chen Xiao-Jun, Li Zan, Bai Bao-Ming, Pan Wei, Chen Qing-Hua. A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy[J]. Journal of Electronics & Information Technology, 2011, 33(5): 1198-1203. doi: 10.3724/SP.J.1146.2010.00713

A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy

doi: 10.3724/SP.J.1146.2010.00713 cstr: 32379.14.SP.J.1146.2010.00713
  • Received Date: 2010-07-09
  • Rev Recd Date: 2011-02-28
  • Publish Date: 2011-05-19
  • Importing the concept of fuzzy set, this paper constructes membership function for measuring the complexity of chaotic pseudorandom sequences. On the basis of this, a new complexity metric is investigated to evaluate the unpredictability of the chaotic pseudorandom sequences based on the Fuzzy Entropy (FuzzyEn). Simulations and analysis results show that, the FuzzyEn works effectively to discern the changing complexities of the chaotic pseudorandom sequences, and compared with complexity metric based on the Approximate Entropy (ApEn) and symbolic dynamics approach, FuzzyEn has obvious advantages in the applicability of symbolic space, the sensitivity of vector dimension and the robustness of resolution parameter.
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  • 黄丽莲, 尹启天. 基于输出控制的混沌同步保密通信系统[J].电子与信息学报.2009, 31(10):2402-2405浏览[2]Huang Li-lian and Yin Qi-tian. A chaos synchronization secure communication system based on output control[J].Journal of Electronics Information Technology.2009, 31(10):2402-2405[3]Parlitz U and Ergezinger S. Robust communication based chaotic spreading sequences[J].Physics Letters A.1994, 188(2):146-150[4]Li Zan, Cai Jueping, and Chang Yilin. Determining the complexity of FH/SS sequence by approximate entropy[J].IEEE Transactions on Communications.2009, 57(3):812-820[6]Lempel A and Ziv J. On the complexity of finite sequences[J].IEEE Transactions on Information Theory.1976, 22(1):75-81[8]Xiao G Z, Wei S M , Kwok Yan Lam, and Kyoki Imamura. A fast algorithm for determining the linear complexity of a sequence with period pn over GF(q)[J].IEEE Transactions on Information Theory.2000, 46(9):2203-2206[9]Griffin F and Shparlinski I E. On the linear complexity profile of the power generator[J].IEEE Transactions on Information Theory.2000, 46(7):2159-2162[10]Gutierrez J, Shparlinski I E, and Winterhof A. On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators[J].IEEE Transactions on Information Theory.2003, 49(1):60-64[11]Kurosawa K, Sato F, Sakata T, and Kishimoto W. A relationship between linear complexity and k-error linear complexity[J].IEEE Transactions on Information Theory.2000, 46(3):694-698[12]蔡觉平, 李赞, 宋文涛. 一种混沌伪随机序列复杂度分析法[J].物理学报.2003, 52(8):1871-1877[14]Pincus S M. Approximate Entropy (ApEn) as a complexity measure[J].Chaos.1995, 5(1):110-117[17]Azad K, Rao J, and Ramakrishna Ramaswamy. Information- entropic analysis of chaotic time series: determination of time-delays and dynamical coupling[J].Chaos, Solitons Fractals.2002, 14(4):633-641[18]Zadeh L A. Fuzzy sets[J].Information and Control.1965, 8(3):338-353[19]胡宝清. 模糊理论基础[M]. 武汉: 武汉大学出版社, 2004, 第1章, 第8章.[20]Chen W, Wang Z, Xie H, and Yu W. Characterization of surface EMG signal based on fuzzy entropy[J].IEEE Transactions on Neural Systems and Rehabilitation Engineering.2007, 15(2):266-272[21]Chen Wei-ting, Zhuang Jun, Yu Wang-xin, and Wang Zhi-zhong. Measuring complexity using FuzzyEn, ApEn, and SampEn[J].Medical Engineering and Physics.2009, 31(1):61-68[22]Ling Cong and Sun Songgeng. Chaotic frequency hoping sequences[J].IEEE Transactions on Communications.1998, 46(11):1433-1437[23]Xiao J H, Hu G, and Qu Z L. Synchronization of spatiotemporal chaos and its application to multichannel spread spectrum communication[J].Physical Review Letters.1996, 77(20):4162-4165[1]Chen W, Wang Z, Xie H, and Yu W. Characterization of surface EMG signal based on fuzzy entropy[J].IEEE Transactions on Neural Systems and Rehabilitation Engineering.2007, 15(2):266-272[2]Chen Wei-ting, Zhuang Jun, Yu Wang-xin, and Wang Zhi-zhong. Measuring complexity using FuzzyEn, ApEn, and SampEn[J].Medical Engineering and Physics.2009, 31(1):61-68[3]Ling Cong and Sun Songgeng. Chaotic frequency hoping sequences[J].IEEE Transactions on Communications.1998, 46(11):1433-1437[4]Xiao J H, Hu G, and Qu Z L. Synchronization of spatiotemporal chaos and its application to multichannel spread spectrum communication[J].Physical Review Letters.1996, 77(20):4162-4165
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