Noise Robust Method for Analytically Solvable Chaotic Signal Reconstruction

Liu, Lidong; Wang, Yanan; Li, Yi; Feng, X.L.; Song, Huansheng; He, Zhili; Guo, Chen

doi:10.1007/s00034-019-01043-y

Cited by 13 publications

(7 citation statements)

References 34 publications

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“…[40] were extracted using the software Plot Digitizer. The following references [36][37][38][42][43][44] have contributed to the material presented in SM.…”

Section: Author Contributions Ms Baptista Is the Single Author And Has Solely Contributed To This Workmentioning

confidence: 99%

Chaos for communication

Baptista

2021

Nonlinear Dyn

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This work shows that chaotic signals with different power spectrum and different positive Lyapunov exponents are robust to linear superposition, meaning that the superposition preserves the Lyapunov exponents and the information content of the source signals, even after being transmitted over non-ideal physical medium. This work tackles with great detail how chaotic signals and their information content are affected when travelling through medium that presents the non-ideal properties of multi-path propagation, noise and chaotic interference (linear superposition), and how this impacts on the proposed communication system. Physical media with other non-ideal properties (dispersion and interference with periodic signals) are also discussed. These wonderful properties that chaotic signals have allow me to propose a novel communication system based on chaos, where information composed from and to multiple users each operating with different base frequencies and that is carried by chaotic wavesignals, can be fully preserved after transmission in the open air wireless physical medium, and it can be trivially decoded with low probability of errors.

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“…[40] were extracted using the software Plot Digitizer. The following references [36][37][38][42][43][44] have contributed to the material presented in SM.…”

Section: Author Contributions Ms Baptista Is the Single Author And Has Solely Contributed To This Workmentioning

confidence: 99%

Chaos for communication

Baptista

2021

Nonlinear Dyn

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“…A follow-up paper reporting this analysis will be submitted elsewhere. The following references [29][30][31][32][33][34] have contributed to the material presented in SM.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Wonders of chaos for communication

Baptista

2020

Preprint

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Driven by today's huge demand for data, there is a desire to develop wireless communication systems that can handle several sources, each using different frequencies of the spectrum. The main purpose of this letter is to show that chaos can naturally provide a solution for a multisource and multi-frequency wireless communication. I demonstrate that information composed from and to multiple users each operating with different base frequencies and that is carried by chaotic wavesignals is fully preserved after transmission in the wireless channel, and it can be trivially decoded with low probability of errors. This is possible because of wonderful properties of chaotic signals that this work reveals. Chaotic signals with different power spectrum are robust to linear superposition, meaning that the superposition preserves Ergodic quantities (Lyapunov exponents) and the information content of the source signals. If the composed signal is transmitted through a physical medium with constraints such as noise, decomposition of the source signals and their information content is possible by appropriately chosen linear coefficients.

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“…In recent years, a large number of image encryption schemes based on chaos [4]- [7], [15]- [32], [34]- [47] have been proposed, due to some inherent features of chaotic system such as noise-like, ergodicity and extreme sensitivity to initial parameters [3], [33], [48]- [50]. For example, Wang et al [4] used the Logistic map in image encryption.…”

Section: Introductionmentioning

confidence: 99%

A Fast Chaotic Image Encryption Scheme With Simultaneous Permutation-Diffusion Operation

2020

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In this paper, a secure and fast chaotic image encryption scheme with simultaneous permutation-diffusion operation is proposed. We combine permutation and diffusion processes into a whole, namely, simultaneous permutation and diffusion operation (SPDO). This can solve the problem of traditional encryption scheme in which the permutation and diffusion are two independent processes, that leads attackers to crack the two processes separately. In SPDO, the initial value of the current Sine-Sine chaotic map is related to the secret keys and the previous encrypted pixels' values. In this case, the proposed scheme can generate dynamic key streams and indexes that are related to plaintext, which improves the sensitivity to plaintext for the encryption scheme. In addition, the pixel values are processed by row and column (rowlevel and column-level) during the encryption procedure. Thus, the proposed scheme presents lower time complexity and faster running speed compared with bit-level or pixel-level image encryption schemes, which makes the proposed scheme be conducive to the batch transmission and real-time transmission of digital images. The simulation results and security analysis show that our scheme can resist common attacks, such as statistical attack, differential attack, chosen plaintext attack and other comprehensive attacks. INDEX TERMSPermutation-diffusion operation, fast encryption, chaotic system, image encryption, security analysis. LIDONG LIU received the B.S. and M.S. degrees in control theory and control engineering from Southwest Jiaotong University, in 2005 and 2008, respectively, and the Ph.D. degree in signal and information processing from the University of Electronics Science and Technology of China, in 2012. He is currently an Associate Professor with Chang'an University. He has authored and coauthored more than 40 articles in signal processing, control theory, and computational nonlinear journals and conferences. He has been involved with more than 10 projects supported by the National Natural Science Foundation of China and Natural Science Foundation of Shanxi province. His current research interests include image encryption, secure communication, and nonlinear control systems. YUHANG LEI received the B.S. degree in communication engineering from the College of Electronic Information Engineering, Xi'an Technological University, China, in 2017. She is currently pursuing the degree with the College of Information Engineering, Chang'an University, China. Her current research interests include image encryption, cryptanalysis, and image privacy protection. DAN WANG received the B.S. degree in measurement and control technology and instrument from the College of Information Engineering, Chang'an University, China, in 2018, where she is currently pursuing the degree with the College of Information Engineering. Her current research interests include image encryption, cryptanalysis, and image privacy protection.

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Noise Robust Method for Analytically Solvable Chaotic Signal Reconstruction

Cited by 13 publications

References 34 publications

Chaos for communication

Chaos for communication

Wonders of chaos for communication

A Fast Chaotic Image Encryption Scheme With Simultaneous Permutation-Diffusion Operation

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