Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization

Chien, Tsun-I; Liao, Teh‐Lu

doi:10.1016/j.chaos.2004.09.009

Cited by 43 publications

(3 citation statements)

References 38 publications

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“…Example With respect to growing application of chaotic systems referred to as interesting non‐linear phenomenon 49–52 , the fractional‐order chaotic system, Genesio‐Tesi 16 is applied here to illustrate observer efficiency. The involved equations are presented as:

D^{α} x_{1} ((), t) = x_{2} ((), t) D^{α} x_{2} ((), t) = x_{3} ((), t) D^{α} x_{3} ((), t) = - x_{1} ((), t) - 1.1 x_{2} ((), t) - 0.15 x_{3} ((), t) + x_{1} {(t)}^{2} + w ((), t)

where, w ( t ) is the unknown finite input equal to 0.3 Sin (t), the fractional order α is equal to 0.9, the initial condition of the system is x 1 (0) = 0.1, x 2 (0) = 0.2, x 3 (0) = − 0.1, and the initial condition of the observer states are all zero, and the parameter M for adaptive gains k 0 , k 1 , k 2 are chosen as 5,3,1 respectively.…”

Section: Simulation Resultsmentioning

confidence: 99%

Adaptive finite time high‐order sliding mode observer for non‐linear fractional order systems with unknown input

Fanaee

2020

Asian Journal of Control

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In the present study, the concept of homogeneity is extended for fractional‐order systems by applying Caputo's derivative definition. Then, a fractional‐order high‐order sliding mode observer is proposed for a class of nonlinear fractional‐order single input–output systems. The asymptotic stability of the observer is analyzed and its finite‐time stability is derived through homogeneity property followed by obtaining a bound for its convergence time. To improve performance and reduce the chattering phenomenon, a tuning rule is presented through Lyapunov stability criterion using finite dimensional approximation of diffusive representation of the system. Finally the efficiency of the proposed method is investigated through two simulation examples.

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D^{α} x_{1} ((), t) = x_{2} ((), t) D^{α} x_{2} ((), t) = x_{3} ((), t) D^{α} x_{3} ((), t) = - x_{1} ((), t) - 1.1 x_{2} ((), t) - 0.15 x_{3} ((), t) + x_{1} {(t)}^{2} + w ((), t)

Section: Simulation Resultsmentioning

confidence: 99%

Adaptive finite time high‐order sliding mode observer for non‐linear fractional order systems with unknown input

Fanaee

2020

Asian Journal of Control

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“…implementable as the lumped electronic circuits and chaotic attractors are observable using oscilloscope and real-time measurement. Unique properties of continuous-time chaotic signals mentioned above suggest possibilities for practical applications; see [1]- [3] for few examples.…”

Section: Introductionmentioning

confidence: 99%

Minimal Realizations of Autonomous Chaotic Oscillators Based on Trans-Immittance Filters

Petržela

Polák

2019

IEEE Access

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This review paper describes a design process toward fully analog realizations of chaotic dynamics that can be considered canonical (minimum number of the circuit elements), robust (exhibit structurally stable strange attractors), and novel. Each autonomous chaotic lumped circuit proposed in this paper can be understood as a looped system, where linear trans-immittance frequency filter interacts with an active nonlinear two-port. The existence of chaos is demonstrated via well-established numerical algorithms that represent the current standard in the field of nonlinear dynamics, i.e., by calculation of the largest Lyapunov exponent and high-resolution 1-D bifurcation diagrams. The achieved numerical results are put into the context of experimental measurement; observed state trajectories prove a one-to-one correspondence between theoretical expectations and practical outputs, i.e., prescribed strange attractors do not represent the chaotic transients. Finally, short term unpredictability of the chaotic flow is demonstrated via calculation of Kaplan-Yorke dimension that is high, i.e., generated waveforms can find interesting applications in the fields of chaotic masking, modulation, or chaos-based cryptography.

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“…Feki (2003b) has designed an adaptive scheme to synchronize between two non-identical chaotic systems in secure communications. Chien and Liao (2005) have proposed a secure digital communication system in association with chaotic modulation, cryptography and chaotic synchronization techniques. Smaoui et al (2011) have realized an adaptive scheme to synchronize two hyper-chaotic master and slave systems.…”

Section: Introductionmentioning

confidence: 99%

An efficient robust adaptive sliding mode control approach with its application to secure communications in the presence of uncertainties, external disturbance and unknown parameters

Mazinan

Kazemi

Shirzad

2013

Transactions of the Institute of Measurement and Control

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The present research attempts to extend the available literature in the area of secure communications to provide an efficient robust adaptive sliding mode control approach in the presence of uncertainties, external disturbances and unknown parameters. It is obvious that the proposed control approach aims to synchronize two hyper-chaotic systems through secure communication. In order to assure the security of signal sending and receiving, the technique of chaotic parameter modulation is taken into consideration. The stability performance of the present approach is accurately guaranteed via the Lyapunov theorem. Numerical simulation results are carried out to illustrate the proposed approach performance, which is easily able to follow the control objectives.

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Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization

Cited by 43 publications

References 38 publications

Adaptive finite time high‐order sliding mode observer for non‐linear fractional order systems with unknown input

Adaptive finite time high‐order sliding mode observer for non‐linear fractional order systems with unknown input

Minimal Realizations of Autonomous Chaotic Oscillators Based on Trans-Immittance Filters

An efficient robust adaptive sliding mode control approach with its application to secure communications in the presence of uncertainties, external disturbance and unknown parameters

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