Reconstruction of Chaotic Signals with Applications to Chaos-Based Communications

Feng, Jiu Chao; Tse, Chi Kong

doi:10.1142/6585

Cited by 24 publications

(21 citation statements)

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“…To design of secure communication system, it is necessary to make sure the parameters of transmitter and receiver are identical for implementing the chaotic masking communication [14] [19]. In this masking signal, a low level message signal is added to the synchronizing driving chaotic signal to generate a perfect driving signal at receiver.…”

Section: Application For Secure Communication Systemsmentioning

confidence: 99%

Synchronization of Quadratically Damped Mathieu - Duffing Based Chaotic Circuits with Applications to Secure Communications

2016

IJSR

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This paper presents an effective secure chaotic synchronized communication using quadratically damped MathieuDuffing system. The circuit simulation results are used to visualize and illustrate the effectiveness of quadratically damped MathieuDuffing chaotic system in synchronization and application of secure communication. The synchronization between two chaotic oscillators, serving as a transmitter-receiver scheme using one way coupling is studied.

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Section: Application For Secure Communication Systemsmentioning

confidence: 99%

Synchronization of Quadratically Damped Mathieu - Duffing Based Chaotic Circuits with Applications to Secure Communications

2016

IJSR

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Section: Extracting Ordered Signals From Nonlinear Instability Time Smentioning

confidence: 99%

“…Feng and Tse [17] have recently reviewed the various approaches used for the reconstruction of chaotic signals as applied in chaos-based communications. Reference [17] also presents an extensive bibliography of recent work in the application of chaos theory in the field of chaos-based communications. The method of extracting information from messages that are masked by chaotic signals is adapted here to extract ordered signals from the chaotic output of the modified Townsend equations describing the instabilities occurring in a particular laminar boundary layer flow.…”

Section: Extracting Ordered Signals From Nonlinear Instability Time Smentioning

confidence: 99%

“…In the field of communications, it has been found that the Lorenz system of nonlinear equations possesses the property of chaotic synchronization (Pecora and Carroll [14]), and that this synchronization could reveal ordered properties masked by chaotic components within the output signals (Perez and Cerdeiral [15], Cuomo and Oppenheim [16], Feng and Tse [17]). We decided to explore the concept that the initial nonlinear time series solution of the modified Townsend equations could perhaps be processed in place by additional sets of Lorenz-type equations.…”

Section: Introductionmentioning

confidence: 99%

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Ordered Regions within a Nonlinear Time Series Solution of a Lorenz Form of the Townsend Equations for a Boundary-Layer Flow

Isaacson

2012

Entropy

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A modified form of the Townsend equations for the fluctuating velocity wave vectors is applied to a laminar three-dimensional boundary-layer flow. These equations are cast into a Lorenz-type system of equations. The initial system of Lorenz equations yields the generation of masked output signals containing internal ordered regions. The selfsynchronizing property of the Lorenz system of equations is then exploited by considering the initial Lorenz system as a transmitter system providing chaotic masked information signals to a series of identical Lorenz receiver systems. The output signal from each successive receiver system indicates the growing recovery of ordered regions in the chaotic output signal. Finally, the three-dimensional graph of the output velocity wave vector signal from the fourth receiver system and the spectral entropy rates for the output axial velocity wave vector indicate the presence of ordered regions which are characterized as axially-directed spiral vortices.

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“…However, since they can be widely applied, more chaos systems need be found or created actively to meet the needs of engineering applications (see, for example, [Belozyorov, 2011b;Belozyorov, 2012;Belozyorov & Chernyshenko, 2013;Feng & Tse, 2007;Khan & Kumar, 2013;Kocan, 2012;Luo & Guo, 2010;Robinson, 2004;Shen & Jia, 2011;Zhang et al, 2009], and many references cited therein).…”

Section: Introductionmentioning

confidence: 99%

General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations

Belozyorov

2014

Int. J. Bifurcation Chaos

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A method allowing to study the dynamics of 3D systems of quadratic differential equations by the reduction of these systems to the special 2D systems is presented. The mentioned 2D systems are used for the construction of new types of discrete maps generating the chaotic dynamics in some 3D autonomous systems of quadratic differential equations. Strong simplification of all results gives an introduction of the Lambert function. Due to this function some implicit discrete maps become explicit. Examples are given.

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Reconstruction of Chaotic Signals with Applications to Chaos-Based Communications

Cited by 24 publications

References 0 publications

Synchronization of Quadratically Damped Mathieu - Duffing Based Chaotic Circuits with Applications to Secure Communications

Synchronization of Quadratically Damped Mathieu - Duffing Based Chaotic Circuits with Applications to Secure Communications

Ordered Regions within a Nonlinear Time Series Solution of a Lorenz Form of the Townsend Equations for a Boundary-Layer Flow

General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations

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