On the design of chaos-based secure communication systems

Zaher, Ashraf A.; Abu-Rezq, Abdulnasser

doi:10.1016/j.cnsns.2010.12.032

Cited by 126 publications

(49 citation statements)

References 41 publications

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“…This can be achieved via changing the scheme used for both the encryption and decryption functions [17].…”

Section: A Secure Communication Case Studymentioning

confidence: 99%

Secure communication using Duffing oscillators

Zaher

2011

2011 IEEE International Conference on Signal and Image Processing Applications (ICSIPA)

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In this paper, a Duffing oscillator is used to construct a chaos-based secure communication system for transmitting digital signals. The synchronization of both the transmitter and the receiver is carried out using a Lyapunov-based control approach that observes the states of the transmitter. The parameters of the transmitter are assumed unknown, and are estimated at the receiver side to accomplish two tasks. The first one is to complete the synchronization process, while the second one is to implement a cryptography approach to secure the transmitted message. Different difficulty levels of constructing both the state observer and/or the parameters update laws are investigated, while highlighting the coupling effects between them. Tuning the proposed system, along with meeting hardware constraints when transmitting real-time signals are addressed, and recommendations for improving the performance are discussed. I. INTRODUCTIONRecently, and since the pioneer work of chaos synchronization [1], chaos-based secure communication systems have evolved in plenty of forms using different techniques to achieve synchronization between the transmitter and the receiver [2], while identifying the unknown parameters of the transmitter. Additive masking, chaos shift keying, chaotic switching, and chaotic modulation are among the most famous techniques in the field of secure communication [3]-[8].In the last decade, further research was carried out to improve the security level of chaotic secure communication systems via utilizing chaotic cryptosystems [9]. In these systems nonlinear encryption methods are used to scramble the secure message at the transmitter side, while using an inverse operation at the receiver side that can effectively recover the original message, provided that synchronization is achieved. The degree of complexity of the encryption function and the insertion of ciphers (secret keys) led to having more robust techniques with both analog and digital communication [10].Synchronizing both the chaotic transmitter and receiver is a bottleneck in designing chaotic secure communication systems as, by default, chaotic systems defy synchronization [11] due to their inherent sensitivity to initial conditions. Never the less, synchronization for two identical, possibly chaotic, dynamical systems can be achieved such that the solution of one always converges to the solution of the other independently of initial conditions using a drive-response mechanism, where there is an interaction between one system and the other, but not vice versa. This drive-response coupling can be used to generate estimates of the states of the drive system when both systems to be synchronized have a similar structure. This kind of identical synchronization can be achieved provided that all real parts of the Lyapunov exponents of the response system, under the influence of the driver, are negative.

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“…This can be achieved via changing the scheme used for both the encryption and decryption functions [17].…”

Section: A Secure Communication Case Studymentioning

confidence: 99%

Secure communication using Duffing oscillators

Zaher

2011

2011 IEEE International Conference on Signal and Image Processing Applications (ICSIPA)

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“…Some important applications can be mentioned as oscillators [18,44], lasers [22,67], chemical reactions [11,33], cryptosystems [37,55], secure communications [9,29,68], biology [8,20], ecology [12,48], robotics [30,62], cardiology [34,64], neural networks [15,17], finance [13,47], etc.…”

Section: Introductionmentioning

confidence: 99%

Backstepping Controller Design for the Global Chaos Synchronization of Sprott’s Jerk Systems

Vaidyanathan

Idowu

Azar

2014

Chaos Modeling and Control Systems Design

113

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This research work investigates the global chaos synchronization of Sprott's jerk chaotic system using backstepping control method. Sprott's jerk system (1997) is algebraically the simplest dissipative chaotic system consisting of five terms and a quadratic nonlinearity. Sprott's chaotic system involves only five terms and one quadratic nonlinearity, while Rössler's chaotic system (1976) involves seven terms and one quadratic nonlinearity. This work first details the properties of the Sprott's jerk chaotic system. The phase portraits of the Sprott's jerk system are described. The Lyapunov exponents of the Sprott's jerk system are obtained as L 1 = 0.0525, L 2 = 0 and L 3 = −2.0727. The Lyapunov dimension of the Sprott's jerk system is obtained as D L = 2.0253. Next, an active backstepping controller is designed for the global chaos synchronization of identical Sprott's jerk systems with known parameters. The backstepping control method is a recursive procedure that links the choice of a Lyapunov function with the design of a controller and guarantees global asymptotic stability of strict-feedback chaotic systems. Finally, an adaptive backstepping controller is designed for the global chaos synchronization of identical Sprott's jerk systems with unknown parameters. MATLAB simulations are provided to validate and demonstrate the effectiveness of the proposed active and adaptive chaos synchronization schemes for the Sprott's jerk systems.

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“…After the successful work in chaos synchronization, chaos-based secure communication systems started to evolve in a variety of forms that were superior to conventional control techniques [2]. These systems replaced the carrier in classical communication systems with a chaotic signal that is either modulated directly by the transmitted signal, or simply added to it [3].…”

Section: Introductionmentioning

confidence: 99%

A cryptography algorithm for transmitting multimedia data using quadruple-state CSK

Zaher

2015

2015 International Conference on Computer, Communications, and Control Technology (I4CT)

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A new technique for secure communication is introduced that aims at robustifying classical Chaotic Shift Keying (CSK) methods. The secret data are hidden within the chaotic transmitter states that can change among four different chaotic attractors such that binary information is effectively diffused. A novel cryptography algorithm is used to change the transmitter parameters such that they have a quadruple form; thus, breaking into the public communication channel using return map attacks will fail. At the receiver side, an adaptive control method is used to estimate the time-varying transmitter parameters via adopting a complete synchronization approach. Simulation results demonstrate the superior performance of the proposed technique in both time and frequency domains. A Duffing oscillator is used to build the proposed system using only the time series for the output. Different implementation issues are investigated for various digital multimedia data and an experimental investigation is carried out to verify the effectiveness of the proposed technique. Finally, generalizations to other chaotic systems as well as real-time compatibility of the design are discussed.

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On the design of chaos-based secure communication systems

Cited by 126 publications

References 41 publications

Secure communication using Duffing oscillators

Secure communication using Duffing oscillators

Backstepping Controller Design for the Global Chaos Synchronization of Sprott’s Jerk Systems

A cryptography algorithm for transmitting multimedia data using quadruple-state CSK

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