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A secure communication scheme based on chaotic Duffing oscillators and frequency estimation for the transmission of binary-coded messages
Institution:1. Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, NC, USA;2. Confocal Systems, Nikon Instruments Incorporation, Melville, NY, USA;3. Environmental Public Health Division, NHEERL, U.S. EPA, Chapel Hill, NC, USA;1. School of Computer & Communication, Lanzhou University of Technology, Lanzhou 730050, China;2. Department of Automation, Tsinghua University, Beijing 100084, China;1. School of Science, Chongqing Jiaotong University, Chongqing 400074, PR China;2. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;3. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, PR China;1. Centro de Estadística y Software Matemático, Departamento de Cómputo Científico, Universidad Simón Bolívar, Sartenejas, Venezuela;2. Laboratorio de Fenómenos no Lineales, Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Venezuela;3. Red de Estudios Interdisciplinarios, Academia Nacional de Ciencias Físicas, Matemáticas y Naturales, Venezuela
Abstract:This work presents a new technique to securely transmit and retrieve a message signal via chaotic systems. The main contribution of this paper is two-fold: the way that the message signal is encrypted in the frequency of a sinusoidal term and a novel frequency estimator for retrieving the message. In our system, a two-valued message signal modulates the frequency of the Duffing oscillator sinusoidal term. Then, two chaotic signals generated by the oscillator are encrypted with a Delta modulator and sent through a noisy channel. A Lyapunov-based observer is used in the receiver side to retrieve the sinusoidal term that contains the message and a novel frequency estimator is then used to retrieve the confidential message signal. The system was implemented in Matlab/Simulink in order to analyze its performance.
Keywords:Chaos-based secure communication  Frequency estimation  Synchronization  Lyapunov methods
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