Time-delay signature concealing electro-optic chaotic system with multiply feedback nonlinear loops

Bai, Jiao; Wang, Hongxiang; Ji, Yuefeng

doi:10.1364/oe.413941

Cited by 26 publications

(16 citation statements)

References 33 publications

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“…According to Ref. 34, the embedding delay is D=2 and the embedding dimension is L=6. The variation range of PE is [0, 1].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In order to ensure security of the system key, the proposed system should be able to conceal TDSs completely against time-delay signatures extraction. ACF and DMI are expressed as 34 ACF(s)=⟨[x(t+s)−⟨x(t)⟩][x(t)−⟨x(t)⟩]⟩⟨(x(t)−⟨x(t)⟩)2⟩⟨(x(t+s)−⟨x(t)⟩)2⟩,DMI(s)=∑p[x(t),x(t+s)]log p[x(t),x(t+s)]p[x(t)]p[x(t+s)],…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Electro-optical chaotic communication system based on additional chaotic phase-shift with time-delay signature concealment

Zhu,

Wang,

Zhang

2023

Opt. Eng.

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We propose and demonstrate an electro-optical chaotic communication system with additional chaotic phase-shift based on the mutual coupling structure. Under the condition of complete concealment of time-delayed signatures (TDSs), the key space of the system is greatly enhanced and highly reliable chaotic communication is finally realized. The additional-phase introduced by the new branch is nonlinearly superimposed on the phase generated by the chaotic signal of the original branch, which improves the complexity and aperiodicity of chaos. For security performance, the system only needs a very small feedback gain (i.e., β i ¼ 2.5) to conceal TDSs. Moreover, since the system has only one chaotic signal transmitted in the transmission link, it overcomes the exposure of TDSs caused by the cross-correlation characteristics between different links. At the same time, the system has strong synchronization robustness and can achieve high-quality communication when the parameters are well-matched. To sum up, the proposed system can effectively resist eavesdropping, which provides security for the physical layer of optical networks.

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“…According to Ref. 34, the embedding delay is D=2 and the embedding dimension is L=6. The variation range of PE is [0, 1].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Electro-optical chaotic communication system based on additional chaotic phase-shift with time-delay signature concealment

Zhu,

Wang,

Zhang

2023

Opt. Eng.

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“…I N the field of optical secure communication [1], [2], [3], time delayed optical chaos system has been highlighted due to its superior advantages of wide-frequency spectrum and high dynamical complexity [4], [5], [6]. Particularly, because of good stability, low cost, and large Lyapunov dimension even if only a few physical degrees of freedom are involved, time delayed electro-optic (EO) chaos system has been widely investigated and become one of the most feasible optical chaos sources [7], [8], [9]. In these systems, time delay plays an essential role in generating the chaos carrier and it is used as the ideal key to enhance the security.…”

Section: Introductionmentioning

confidence: 99%

An Enhanced Electro-Optic Chaos Secure Communication System Immune to Time Delay Signature Extraction

Huang

Gao

et al. 2022

IEEE Photonics J.

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Time delay signature (TDS) is a key issue that affects the security performance of optical chaos communication. Currently, the autocorrelation function (ACF) and delayed mutual information (DMI) are two crucial methods to extract the TDS. Several strategies have been proposed to resist statistical analysis (i.e., ACF and DMI). However, a dynamic inverse modeling method has been proposed to identify TDS by utilizing the strong nonlinear inversion capability of deep learning, which brings about new threat. To resist this analysis, we propose a stratagem that one can increase the nonlinear dimensionality of the chaos system at the transmitter and concurrently reduce the dimensionality of transmitted signals, leading to "deficiency of data dimensionality". A three-dimensional chaotic system is designed as the transmitter and only one-dimensional signal is transmitted for communication. Furthermore, a hybrid receiver is designed. The nonlinear model of the response system is realized by cooperation of an analog electro-optical link and a neural network in digital domain. The architecture not only destroys the possibility of TDS extraction but also preserves all necessary information required for chaos synchronization with low-complexity implementation.

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“…В динамике популяций запаздывание связано с тем, что особи участвуют в репродукции лишь после периода взросления [9]. Одним из практических применений кольцевых автоколебательных систем с задержкой является построение систем передачи информации на хаотической несущей [10], в том числе в оптическом диапазоне [11,12].…”

Section: Introductionunclassified

Estimation of delay times from time series of ring self-oscillatory time-delay systems

Ponomarenko¹,

Lapsheva²,

Прохоров³

2022

ICS

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Introduction: The problem of delay time estimation in ring self-oscillatory time-delay systems arises in various fields of science and is of great importance in the study of real systems generating chaotic time series. Purpose: To conduct a comparative analysis of the operation of methods for the reconstruction of time-delay systems from chaotic time series in the absence and presence of additive noise. Methods: Methods for estimating the delay time according to the statistics of extrema, using the autocorrelation function and the method of order time asymmetry are used. Based on the latter method, a method is proposed that is focused on estimating the delay times in systems with two delays. Results: We carry out a comparative analysis of the operation of four methods for reconstructing the delay times in self-oscillating time-delay systems from chaotic time series using the example of Ikeda systems with one and two delay times. We demonstrate that in the absence of additive noise, the delay time estimation method based on statistics of extrema is the most accurate one for the case of time series analysis of systems with both one and two delays. In the presence of additive noise, the modified method of order time asymmetry proposed in the work in the case of the analysis of systems with one delay time works no worse than the method of the autocorrelation function and order time asymmetry. In the case of two delay times, the modified order time asymmetry method works better than others. Practical relevance: The described methods can have a practical application in estimating the delay time of self-oscillating systems, yet the level of additive noise can affect the accuracy of the estimate.

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Time-delay signature concealing electro-optic chaotic system with multiply feedback nonlinear loops

Cited by 26 publications

References 33 publications

Electro-optical chaotic communication system based on additional chaotic phase-shift with time-delay signature concealment

Electro-optical chaotic communication system based on additional chaotic phase-shift with time-delay signature concealment

An Enhanced Electro-Optic Chaos Secure Communication System Immune to Time Delay Signature Extraction

Estimation of delay times from time series of ring self-oscillatory time-delay systems

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