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Journal ArticleDOI

Fast communication: Discrete-time chaotic systems synchronization performance under additive noise

TLDR
Results are presented of a comparison between synchronization error due to additive Gaussian noise when the transmitter and receiver are implemented by single or coupled maps.
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This article is published in Signal Processing.The article was published on 2011-08-01. It has received 12 citations till now. The article focuses on the topics: Synchronization of chaos & Gaussian noise.

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Citations
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Journal ArticleDOI

Design and FPGA implementation of a wireless hyperchaotic communication system for secure real-time image transmission

TL;DR: The obtained experimental results show the relevance of the idea of combining XBee (Zigbee or Wireless Fidelity) protocol, known for its high noise immunity, to secure hyperchaotic communications.
Journal ArticleDOI

Correlation and spectral properties of chaotic signals generated by a piecewise-linear map with multiple segments

TL;DR: This work deduce analytical expressions for autocorrelation sequence, power spectral density and essential bandwidth of chaotic signals generated by a piecewise-linear map, with multiple segments.
Journal ArticleDOI

First Experimental Solution for Channel Noise Sensibility in Digital Chaotic Communications

TL;DR: The proposed solution to the high channel noise sensibility problem of digital chaotic communications by avoiding disruption of the slave/receiver dynamics by injecting the driving signal is tested and validated through experimental realization of a wireless hyperchaotic communication system based on ZigBee communication protocol.
Journal ArticleDOI

On the Performance of a Digital Chaos-Based Communication System in Noisy Channels

TL;DR: This work evaluates the performance in terms of Bit Error Rate (BER) of a binary communication system, based on chaotic synchronization, when white gaussian noise is added to the transmitted signal and proposes an encoding function that allows controlling the trade-off between how apparent is the message in the transmitted chaotic signal and BER performance.
References
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Journal ArticleDOI

Synchronization in chaotic systems

TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Book

Nonlinear dynamics and Chaos

TL;DR: The logistic map, a canonical one-dimensional system exhibiting surprisingly complex and aperiodic behavior, is modeled as a function of its chaotic parameter, and the progression through period-doubling bifurcations to the onset of chaos is considered.
Journal ArticleDOI

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

Steven H. Strogatz
- 01 Mar 1995 - 
TL;DR: This book discusses Chaos, Fractals, and Dynamics, and the Importance of Being Nonlinear in a Dynamical View of the World, which aims to clarify the role of Chaos in the world the authors live in.
Book

Chaos: An Introduction to Dynamical Systems

TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
Journal ArticleDOI

Synchronizing chaotic circuits

TL;DR: The authors describe the conditions necessary for synchronizing a subsystem of one chaotic system with a separate chaotic system by sending a signal from the chaotic system to the subsystem by sending signals from the Chaos Junction.
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