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A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy |
Chen Xiao-jun① Li Zan① Bai Bao-ming① Pan Wei① Chen Qing-hua② |
①(The State Key Laboratory of Integrated Service Networks (ISN), Xidian University, Xi’an 710071, China) ②(P.O.Box 1534, Chongqing 400712, China) |
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Abstract 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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Received: 09 July 2010
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Corresponding Authors:
Li Zan
E-mail: zanli@xidian.edu.cn
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