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

doi:10.1016/J.SIGPRO.2011.01.021

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

Journal Article•DOI•

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

Marcio Eisencraft¹, A. M. Batista²•Institutions (2)

Universidade Federal do ABC¹, Ponta Grossa State University²

01 Aug 2011-Signal Processing (Elsevier)-Vol. 91, Iss: 8, pp 2127-2131

TL;DR: 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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About: 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 Article•DOI•

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

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Said Sadoudi¹, Camel Tanougast², Mohamed Salah Azzaz¹, Abbas Dandache²•Institutions (2)

École Normale Supérieure¹, University of Lorraine²

29 Jul 2013-Eurasip Journal on Image and Video Processing

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.

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Abstract: In this paper, we propose and demonstrate experimentally a new wireless digital encryption hyperchaotic communication system based on radio frequency (RF) communication protocols for secure real-time data or image transmission. A reconfigurable hardware architecture is developed to ensure the interconnection between two field programmable gate array development platforms through XBee RF modules. To ensure the synchronization and encryption of data between the transmitter and the receiver, a feedback masking hyperchaotic synchronization technique based on a dynamic feedback modulation has been implemented to digitally synchronize the encrypter hyperchaotic systems. 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. In fact, we have recovered the information data or image correctly after real-time encrypted data or image transmission tests at a maximum distance (indoor range) of more than 30 m and with maximum digital modulation rate of 625,000 baud allowing a wireless encrypted video transmission rate of 25 images per second with a spatial resolution of 128 × 128 pixels. The obtained performance of the communication system is suitable for secure data or image transmissions in wireless sensor networks.

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53 citations

Cites background or methods from "Fast communication: Discrete-time c..."

...Other authors proposed to improve the robustness of chaotic synchronization to channel noise [18], where a coupled lattice instead of coupled single maps is used to decrease the master-slave synchronization error....
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...digital modulation in the case of the transmission data rate of 250 kbps (the maximum serial interface data rate of the XBee Pro modules [18] allowed with a clk_out signal frequency equal to 250 kHz) with a distance frame value of N = 500 clock cycles, allowing signal captures....
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Journal Article•DOI•

Chaos-based communication systems in non-ideal channels

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Marcio Eisencraft¹, Renato D. Fanganiello², J.M.V. Grzybowski³, Diogo C. Soriano⁴, Romis Attux⁴, Antonio M. Batista⁵, Elbert E. N. Macau⁶, Luiz Henrique Alves Monteiro⁷, Luiz Henrique Alves Monteiro², João Marcos Travassos Romano⁴, Ricardo Suyama¹, Takashi Yoneyama³ - Show less +8 more•Institutions (7)

Universidade Federal do ABC¹, Mackenzie Presbyterian University², Instituto Tecnológico de Aeronáutica³, State University of Campinas⁴, Ponta Grossa State University⁵, National Institute for Space Research⁶, University of São Paulo⁷

01 Dec 2012-Communications in Nonlinear Science and Numerical Simulation

TL;DR: This paper succinctly describes techniques to counter the effects of finite bandwidth, additive noise and delay in the communication channel to make chaos-based communication systems attain lower levels of BER in non-ideal environments.

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50 citations

Journal Article•DOI•

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

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Rafael Alves da Costa¹, Murilo Loiola², Marcio Eisencraft¹•Institutions (2)

University of São Paulo¹, Universidade Federal do ABC²

01 Apr 2017-Signal Processing

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.

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15 citations

Journal Article•DOI•

First Experimental Solution for Channel Noise Sensibility in Digital Chaotic Communications

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Said Sadoudi, Camel Tanougast, Mohamed Salah Azzaz

01 Jan 2012-Progress in Electromagnetics Research-pier

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.

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Abstract: An interesting and original solution to the high channel noise sensibility problem of digital chaotic communications is proposed. The solution idea consist of avoiding disruption of the slave/receiver dynamics by injecting the driving signal. To realize experimentally this pertinent idea, an FPGA-based hardware architecture is developed, flrstly to trigger the generation of the slave/receiver chaotic dynamics at each received data detection, and secondly to synchronize the driving signal with the slave generated chaotic signal for the demodulation operation. We have tested and validated the proposed solution through experimental realization of a wireless hyperchaotic communication system based on ZigBee communication protocol. Real-time results of experimental wireless communication tests are presented. The obtained results show the efiectiveness and the robustness of the proposed solution against real channel noise in digital chaotic

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9 citations

Cites background from "Fast communication: Discrete-time c..."

...The authors in [12] investigate numerically an alternative model to decrease the masterslave synchronization error when there is additive white Gaussian noise between master and slave: using coupled lattices instead of coupled single maps....
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Journal Article•DOI•

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

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Greta A. Abib¹, Marcio Eisencraft¹•Institutions (1)

University of São Paulo¹

01 Jan 2015-IFAC-PapersOnLine

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.

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7 citations

References

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Journal Article•DOI•

Digital communications using chaos

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Michael Peter Kennedy¹, Géza Kolumbán²•Institutions (2)

University College Cork¹, Budapest University of Technology and Economics²

01 Jul 2000-Signal Processing

TL;DR: The implications of using chaotic basis functions in digital communications and preliminary performance results are given, potential benefits are discussed, and possible application domains are identified.

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144 citations

"Fast communication: Discrete-time c..." refers background in this paper

...…Aplicadas, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil b Departamento de Matemática e Estatı́stica, Universidade Estadual de Ponta Grossa, 84030-900 Ponta Grossa, PR, Brazil a r t i c l e i n f o Article history: Received 6 October 2010 Accepted 23 January 2011 Available…...
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...Contents lists available at ScienceDirect Signal Processing 0165-16 doi:10.1 Cor E-m batista@ journal homepage: www.elsevier.com/locate/sigpro Fast communication Discrete-time chaotic systems synchronization performance under additive noise M. Eisencraft a, , A.M. Batista b, a Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil b Departamento de Matemática e Estatı́stica, Universidade Estadual de Ponta Grossa, 84030-900 Ponta Grossa, PR, Brazil a r t i c l e i n f o Article history: Received 6 October 2010 Accepted 23 January 2011 Available online 4 February 2011 Keywords: Maps Noise Synchronization 84/$ - see front matter & 2011 Published by 016/j.sigpro.2011.01.021 responding authors. ail addresses: marcio.eisencraft@ufabc.edu.br interponta.com.br (A.M. Batista). a b s t r a c t In recent decades many articles have discussed the possibilities of chaos applied in communications....
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Book•

Modern Digital and Analog Communication Systems 3e Osece

[...]

B. P. Lathi

01 Feb 1998

TL;DR: Modern Digital and Analog Communication Systems offers students a superb pedagogical style and every effort is made to give an intuitive insight - rather than just proofs - as well as heuristic explanations of theoretical results wherever possible.

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Abstract: From the Publisher: Lathi's trademark user-friendly and highly readable text presents a complete and modern treatment of communication systems. It begins by introducing students to the basics of communication systems without using probabilistic theory. Only after a solid knowledge basean understanding of how communication systems workhas been built are concepts requiring probability theory covered. This third edition has been thoroughly updated and revised to include expanded coverage of digital communications. New topics discussed include spread-spectrum systems, cellular communication systems, global positioning systems (GPS), and an entire chapter on emerging digital technologies (such as SONET, ISDN, BISDN, ATM, and video compression). Ideal for the first communication systems course for electrical engineers, Modern Digital and Analog Communication Systems offers students a superb pedagogical style; it consistently does an excellent job of explaining difficult concepts clearly, using prose as well as mathematics. The author makes every effort to give intuitive insightsrather than just proofsas well as heuristic explanations of theoretical results wherever possible. Featuring lucid explanations, well-chosen examples clarifying abstract mathematical results, and excellent illustrations, this unique text is highly informative and easily accessible to students. Superb pedagogical style The book consistently does an excellent job of explaining difficult concepts clearly, using prose as well as mathematics. Every effort is made to give an intuitive insight - rather than just proofs - as well as heuristic explanations of theoretical results,wherever possible. The clear explanations, the well-chosen examples to clarify the abstract mathematical results, and the excellent illustrations make this book highly informative and easily accessible to an average student.

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96 citations

Journal Article•DOI•

An exploration of the Hénon quadratic map

[...]

Donald L. Hitzl, Frank Zele

01 Mar 1985-Physica D: Nonlinear Phenomena

TL;DR: In this article, an interesting three-dimensional generalization of the Henon map is announced, which yields a strange attractor for the parameter values a = 1.4, b = 0.3 has been investigated over the extended region -2≤ a ≤ 6, -1≤ b ≤ 1.

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85 citations

Journal Article•DOI•

Modelling chaos and hyperchaos with 3-D maps

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Krzysztof Stefański

01 Jan 1998-Chaos Solitons & Fractals

TL;DR: In this paper, two generalizations on R3 of the Henon nonconservative map are defined, and the results of numerical tests show that apart from obvious differences in the number of positive Lyapunov exponents and the shape of the chaotic atractor, the hyperchaos may not be much different from regular chaos.

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Abstract: Two generalizations on R3 of the Henon nonconservative map are defined. Although, in many respects, they are closely related to each other, one of them can produce strange attractors with only one positive Lyapunov exponent, while the other has strange attractors with two positive Lyapunov exponents, thus showing a “hyperchaotic” behaviour. The results of numerical tests to be discussed, show, that apart from obvious differences in the number of positive Lyapunov exponents and the shape of the chaotic atractor, the hyperchaos may not be much different from regular chaos.

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74 citations

Additional excerpts

...& 2011 Published by Elsevier B.V....
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Journal Article•DOI•

Chaotic communications over radio channels

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C. Williams¹•Institutions (1)

Qinetiq¹

01 Dec 2001-IEEE Transactions on Circuits and Systems I-regular Papers

TL;DR: It is pointed out that discussing these systems as spread spectrum is often unhelpful, because a noise free reference signal is not available at the receiver to exploit the excess bandwidth.

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Abstract: The real issues of communicating over radio channels with continuous time chaotic signals are addressed. Synchronized and nonsynchronized methods are assessed. The modeling of radio channels (including multipath and Doppler) is reviewed, and then the effect on chaotic signals is investigated. The bandwidth efficiency of chaotic communication systems is discussed, and compared to conventional methods. The practical issues of symbol synchronization and equalization are discussed. It is pointed out that discussing these systems as spread spectrum is often unhelpful, because a noise free reference signal is not available at the receiver to exploit the excess bandwidth.

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54 citations