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A Secure Communication Design Based on the Chaotic Logistic Map: An Experimental Realization Using Arduino Microcontrollers

In: Computation, Cryptography, and Network Security

Author

Listed:
  • Mauricio Zapateiro De la Hoz

    (Avenida Alberto Carazzai 1640, Universidade Tecnológica do Paraná)

  • Leonardo Acho

    (Universitat Politècnica de Catalunya, Departament de Matemàtica Aplicada III)

  • Yolanda Vidal

    (Universitat Politècnica de Catalunya, Departament de Matemàtica Aplicada III)

Abstract

Chaotic systems feature some characteristics that are being actively exploited in the field of communication systems. However, there are still some drawbacks to be solved before actual feasible implementation of these systems can be possible. One basic communication scheme found in the literature is the digital-based scheme that uses discrete dynamical systems. In this case, chaotic maps are frequently employed as pseudo-random bit generators used for encrypting the messages. In this chapter we present a digital-based communication system that uses the discrete logistic map which is a second-order polynomial map. The input message signals is modulated using a 1-bit analog-to-digital converter. Then, a logistic map is implemented in order to generate a digital binary version that is used to encrypt the message. In the receiver side, the binary-coded message is decrypted using a key signal that is sent through one of the communication channels. The proposed scheme is experimentally tested using Arduino shields which are simple yet powerful development kits that allows for the implementation of the communication system for testing purposes.

Suggested Citation

  • Mauricio Zapateiro De la Hoz & Leonardo Acho & Yolanda Vidal, 2015. "A Secure Communication Design Based on the Chaotic Logistic Map: An Experimental Realization Using Arduino Microcontrollers," Springer Books, in: Nicholas J. Daras & Michael Th. Rassias (ed.), Computation, Cryptography, and Network Security, pages 737-756, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-18275-9_28
    DOI: 10.1007/978-3-319-18275-9_28
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