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A Novel Algorithm to Improve Digital Chaotic Sequence Complexity through CCEMD and PE.

Chunlei Fan1, Zhigang Xie2, Qun Ding1

  • 1Electrical Engineering College, Heilongjiang University, Harbin 150080, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

A new three-dimensional chaotic system with a hidden attractor was developed. A novel algorithm using complementary ensemble empirical mode decomposition (CEEMD) and permutation entropy (PE) enhances chaotic sequence complexity for secure image encryption.

Keywords:
chaotic systemempirical mode decompositionimage encryptionpermutation entropy

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Area of Science:

  • Chaos theory
  • Cryptography
  • Digital signal processing

Background:

  • Complex dynamic systems are crucial for secure communication.
  • Hidden attractors in chaotic systems offer unique properties for cryptography.
  • Enhancing the complexity of chaotic sequences is vital for robust encryption.

Purpose of the Study:

  • Introduce a novel three-dimensional chaotic system with a hidden attractor.
  • Develop a new algorithm to enhance digital chaotic sequence complexity.
  • Evaluate the effectiveness of the enhanced chaotic sequences in image encryption.

Main Methods:

  • Analysis of system dynamics using Poincaré cross sections.
  • Numerical simulation for equilibria and initial value sensitivity.
  • Complementary Ensemble Empirical Mode Decomposition (CEEMD) and Permutation Entropy (PE) for complexity enhancement.
  • Image encryption using post-processed chaotic binary sequences.

Main Results:

  • A new three-dimensional chaotic system with a hidden attractor was successfully introduced.
  • The CEEMD-PE algorithm significantly enhanced the complexity of digital chaotic sequences.
  • Experimental image encryption demonstrated good performance and security of the chaotic binary sequences.

Conclusions:

  • The proposed chaotic system and the CEEMD-PE algorithm provide a viable approach for secure image encryption.
  • Enhanced chaotic sequences offer improved complexity for cryptographic applications.
  • The study highlights the potential of hidden attractor systems in modern cryptography.