Técnicas de sincronización de osciladores caóticos y su implementación electrónica
Synchronizing chaotic oscillators has been a challenge to guarantee successful applications in secure communications. In this manner, this Thesis compares three synchronization techniques using three chaotic oscillators based on piecewise-linear (PWL) functions and 19 chaotic oscillators proposed by...
| Autor: | |
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | español |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1301 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1301 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Chaos info:eu-repo/classification/Inspec/Synchronization info:eu-repo/classification/Inspec/FPGA info:eu-repo/classification/Inspec/Communication security info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | Synchronizing chaotic oscillators has been a challenge to guarantee successful applications in secure communications. In this manner, this Thesis compares three synchronization techniques using three chaotic oscillators based on piecewise-linear (PWL) functions and 19 chaotic oscillators proposed by Julien C. Sprott. In order to perform a secure transmission of an image, the synchronization techniques are analyzed measuring the error and synchronization time. This is simulated using three numerical methods, namely: Forward-Euler, Trapezoidal and fourth-order Runge-Kutta, which step sizes are estimated from the eigenvalues of the chaotic oscillators. From the chaotic time series, we proceed to evaluate the Lyapunov exponent and Kaplan-Yorke dimension to rank the unpredictability of the chaotic oscillators. Those chaotic oscillators with the high positive Lyapunov exponent values are chosen to be implemented into a field-programmable gate array (FPGA), and afterwards they are synchronized in a master- slave topology applying three techniques: the seminal technique introduced by Pecora-Carrol, Hamiltonian forms and observer approach, and open-plus-close-loop (OPCL). These techniques are compared with respect to the synchronization error and the number of iterations required to minimize the error, which is associated to an FPGA implementation with low latency. Finally, the synchronized system is used to design a chaotic secure system for image transmission. The results are validated by evaluating the correlation among the original image, the chaotic channel and the recovered image. The results show that both Hamiltonian forms and OPCL can recover the original image while its correlation with the chaotic channel is as low as ≤ 0:0050, demonstrating the usefulness of chaotic systems for the secure transmission of information. |
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