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Secure Communication Systems Based on the Synchronization of Chaotic Systems

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Mathematics Applied to Engineering, Modelling, and Social Issues

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 200))

Abstract

Over the last three decades, chaotic dynamical systems have found many applications in science and engineering particularly in the field of secure communications and data encryption. The vast majority of such applications start from the synchronization control of two chaotic systems where one system’s states are forced to follow the exact same trajectory set out by another system with different initial conditions. The general theme seems to be that a master system is placed at the transmitter and a slave at the receiver. Once the pair is synchronized, the states can be used to secure the communication channel in one of four ways: chaotic modulation schemes, chaotic multi–carrier schemes, chaotic multiple access schemes, and chaos–based encryption schemes. This chapter aims to give an overview of secure communications and chaos and summarize the latest advancements in the field of chaos based communications. In addition, a case study is selected assuming antipodal chaos shift keying (ACSK) modulation and the complete communication system is described. Simulation results are presented to highlight the performance of chaotic modulation systems.

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Authors and Affiliations

  1. Department of Electrical Engineering, Taibah University, Yanbu, Saudi Arabia

    Samir Bendoukha

  2. Department of Mathematics, University of Tebessa, 12002, Tebessa, Algeria

    Salem Abdelmalek

  3. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002, Tebessa, Algeria

    Adel Ouannas

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  1. Samir Bendoukha
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  2. Salem Abdelmalek
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  3. Adel Ouannas
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Corresponding author

Correspondence to Salem Abdelmalek .

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Editors and Affiliations

  1. Department of Mathematics, University College London, London, UK

    Frank T. Smith

  2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  3. Department of Mathematics, Center for Mathematics of Uncertainty, Creighton University, Omaha, NE, USA

    John N. Mordeson

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Bendoukha, S., Abdelmalek, S., Ouannas, A. (2019). Secure Communication Systems Based on the Synchronization of Chaotic Systems. In: Smith, F.T., Dutta, H., Mordeson, J.N. (eds) Mathematics Applied to Engineering, Modelling, and Social Issues. Studies in Systems, Decision and Control, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-12232-4_9

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