Analysis of Chaotic Sequence Complexity Based on Wavelet Packet Energy Entropy

LIANG Di-qing; CHEN Zhi-gang; DENG Xiao-hong

doi:10.3969/j.issn.0372-2112.2015.10.014

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Analysis of Chaotic Sequence Complexity Based on Wavelet Packet Energy Entropy

更新时间：2025-07-16

- Analysis of Chaotic Sequence Complexity Based on Wavelet Packet Energy Entropy
- Acta Electronica Sinica Vol. 43, Issue 10, Pages: 1971-1977(2015)
- 作者机构：
  
  1. 中南大学信息科学与工程学院,湖南,长沙,410083
  2. 中南大学&quot
  3. 移动医疗&quot
  4. 教育部-中国移动联合实验室,湖南,长沙,410075
  5. 长沙理工大学信息化处,湖南,长沙,410114
  6. 中南大学软件学院,湖南,长沙,410075
  7. 江西理工大学应用科学学院,江西,赣州,341000
  8. 中南大学信息科学与工程学院,湖南,长沙,410083
  11. 教育部-中国移动联合实验室,湖南,长沙,410075
  12. 长沙理工大学信息化处,湖南,长沙,410114
  13. 中南大学软件学院,湖南,长沙,410075
  14. 江西理工大学应用科学学院,江西,赣州,341000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61272494, No.61350011)
- DOI：10.3969/j.issn.0372-2112.2015.10.014
  CLC： TN918
- Published：2015
- 稿件说明：
移动端阅览
LIANG Di-qing, CHEN Zhi-gang, DENG Xiao-hong. Analysis of Chaotic Sequence Complexity Based on Wavelet Packet Energy Entropy[J]. Acta Electronica Sinica, 2015, 43(10): 1971-1977.
DOI：

LIANG Di-qing, CHEN Zhi-gang, DENG Xiao-hong. Analysis of Chaotic Sequence Complexity Based on Wavelet Packet Energy Entropy[J]. Acta Electronica Sinica, 2015, 43(10): 1971-1977. DOI： 10.3969/j.issn.0372-2112.2015.10.014.

摘要

混沌密码学是密码学的一个新方向

混沌序列的复杂度是衡量混沌密码学安全性的重要指标.本文将小波包能量熵应用到混沌序列的复杂度分析中

首先将混沌序列进行小波包分解

然后通过小波包能量熵计算方法确定各频段能量大小

从而确定混沌序列的复杂度.通过对Logistic、TD-ERCS和Henon产生的混沌序列进行比较分析

结果表明

小波包能量熵具有全局统计特性

无需引入新参数进行相空间重构.另外

计算方法简单

且不依赖于混沌序列的采样长度与初始值

能有效衡量混沌序列的复杂度.

Abstract

Chaotic cryptography is a new direction of cryptography

and chaotic sequence complexity is an important index to measure the security of chaotic cryptography.The wavelet packet energy entropy is discussed in this paper to analyze the complexity of chaotic sequence.Firstly

chaotic sequences are decomposed by wavelet packet

and then each frequency band's energy can be computed with wavelet energy entropy calculation method.Thus the complexity of chaotic sequences is finally determined.Comparing the chaotic sequences generated by Logistic

TD-ERCS and Henon

we can discover that the wavelet packet energy entropy has the global statistical property

which doesn't require new parameters for phase space reconstruction.In addition

its calculation method is simple and it does not rely on the chaotic sequence's sampling length and initial values

which can effectively measure the complexity of chaotic sequences.

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