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FPGA implementation and voice encryption application of a new hyperchaotic system with high complexity.

Khaled Benkouider1, Miroslav Mahdal2, Sundarapandian Vaidyanathan3,4

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A new 4-D hyperchaotic system exhibits high complexity and unpredictability due to its large Lyapunov exponents. This system demonstrates multistability and is implemented on an FPGA for secure voice data encryption.

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Area of Science:

  • Chaos Theory
  • Nonlinear Dynamics
  • Information Security

Background:

  • Hyperchaotic systems are characterized by complex dynamics and sensitivity to initial conditions.
  • Multistability and offset boosting are desirable features for practical applications.
  • Field-programmable gate arrays (FPGAs) offer efficient hardware implementation for complex systems.

Purpose of the Study:

  • To introduce a novel 4-D hyperchaotic system with high complexity and analyze its properties.
  • To investigate the potential of the proposed system in information security applications, specifically voice data encryption.
  • To implement the hyperchaotic system on an FPGA for hardware realization.

Main Methods:

  • The proposed 4-D system was analyzed for its hyperchaotic nature using Lyapunov exponents.
  • Multistability was demonstrated through numerical simulations with varying initial conditions.
  • Offset boosting was explored as a signal conversion technique.
  • The system was implemented on an FPGA using Euler's method for electronic realization.
  • Voice data encryption was performed using an XOR-based algorithm with system variables.

Main Results:

  • The new 4-D system was confirmed to be hyperchaotic with two positive Lyapunov exponents, indicating high complexity.
  • Rapid divergence of trajectories (within 0.6 seconds) confirmed high sensitivity and unpredictability.
  • Two distinct coexisting hyperchaotic attractors were observed, demonstrating multistability.
  • FPGA implementation on a Zybo Z7-20 board was successfully achieved.
  • Differential entropy analysis verified high randomness of system variables, suitable for encryption.
  • The XOR-based encryption algorithm provided effective protection and lossless data recovery.

Conclusions:

  • The developed 4-D hyperchaotic system offers high complexity, unpredictability, and multistability.
  • The FPGA implementation demonstrates the system's feasibility for hardware applications.
  • The system shows significant potential for secure information processing, particularly in voice data encryption.