Chaotic Synchronization and Secure Communication Using Contraction Theory

  • Authors:

  • Bharat Bhushan Sharma;Indra Narayan Kar

  • Affiliations:

  • Department of Electrical Engineering, Indian Institute of Technology, Delhi, New Delhi, India 110016;Department of Electrical Engineering, Indian Institute of Technology, Delhi, New Delhi, India 110016

  • Venue:
  • PReMI '09 Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence
  • Year:
  • 2009

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Abstract

Here, observer based synchronization and secure communication scheme is presented for chaotic systems. In proposed scheme, extended Kalman filter based receiver is selected for given transmitter system. The stability results are derived using virtual system concept. Observer gains for synchronization are obtained as a solution of matrix Riccati equation. For secure communication, n-shift ciphering algorithm is used with one of the chaotic state chosen as key. Numerical simulations are presented in the end to verify the efficacy of proposed scheme.