New Trends in Chaos-Based Communications and Signal Processing

Eisencraft, Marcio; Evangelista, João V. C.; Costa, Rafael Alves da; Fontes, Rodrigo T.; Candido, Renato; Chaves, Daniel P. B.; Pimentel, Cecílio; Silva, Magno T. M.

doi:10.1007/978-3-319-78512-7_7

Cited by 4 publications

(4 citation statements)

References 28 publications

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“…The MRLM is iterated 1000 times by ignoring initial transient. To measure correlation using (2) and 3, small perturbations of (γ + ∆) are applied to control parameter to generate MRLM trajectories. The chosen value of ∆ = 271 2 58 is required that generate uncorrelated MRLM trajectories.…”

Section: Correlation Analysismentioning

confidence: 99%

“…Random number sequences have immense impact on numerous applications, such as signal processing [1,2], stochastic simulations [3,4], spread spectrums [5,6], gaming [7][8][9], statistics [10], captcha [11,12], machine learning [13,14], and cryptography etc. The random number generators that pertain to excellent statistical properties are considered critical for robust cryptographic applications [15].…”

Section: Introductionmentioning

confidence: 99%

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Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)

et al. 2020

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Robust chaotic systems, due to their inherent properties of mixing, ergodicity, and larger chaotic parameter space, constitute a perfect candidate for cryptography. This paper reports a novel method to generate random numbers using modified robust logistic map (MRLM). The non-smooth probability distribution function of robust logistic map (RLM) trajectories gives an un-even binary distribution in randomness test. To overcome this disadvantage in RLM, control of chaos (CoC) is proposed for smooth probability distribution function of RLM. For testing the proposed design, cryptographic random numbers generated by MRLM were vetted with National Institute of Standards and Technology statistical test suite (NIST 800-22). The results showed that proposed MRLM generates cryptographically secure random numbers (CSPRNG).

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Section: Correlation Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)

et al. 2020

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“…A questão da natureza caótica dos sinais transmitidos por esse sistema foi abordada inicialmente em [20,21]. No entanto, ainda não foram determinados os requisitos sobre os coeficientes de filtragem para preservar a natureza caótica do sinal transmitido e manter a sincronização.…”

Section: Introductionunclassified

Um estudo numérico do exponente de Lyapunov do Mapa Hénon com filtro FIR

Borges¹,

Eisencraft²

2022

Anais Do XL Simpósio Brasileiro De Telecomunicações E Processamento De Sinais

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Resumo-Ao aplicar sinais caóticos em sistemas de comunicações, é fundamental controlar e eventualmente limitar a banda espectral ocupada por esses sinais. Uma possibilidade para atingir esse objetivo é utilizar filtros de tempo discreto na realimentação de sistemas dinâmicos. Porém, a introdução desses filtros pode destruir as propriedades da dinâmica caótica do mapa original. Sendo assim, neste trabalho, faz-se um estudo numérico dos expoentes de Lyapunov dos sinais gerados pelo mapa de Hénon bidimensional acrescido de filtros passa-baixas de resposta ao impulso finita na realimentação. Os resultados de simulação mostram que os coeficientes do filtro afetam de forma significativa o comportamento dos sinais gerados.Palavras-Chave-Sinais caóticos, sistemas não lineares, sistemas de tempo discreto.

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“…A deterministic chaotic signal generator (CSG) produces trajectories in the state space that are aperiodic, bounded, and present sensitive dependence on initial conditions (SDIC) [2]. Chaos-based communication systems (CBCSs) using the synchronization of CSGs have been extensively investigated in the literature (see, e.g., [3]- [15] and their references). Even some patents were issued regarding the subject, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Equalization in chaos-based communication systems using kernel adaptive filtering

Candido

Eisencraft

Silva

2019

JCIS

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Chaos-based communication systems have attracted attention of researchers in academy and industry in the last decades. A particular family of such systems has as basic idea to use the transmitted message to modify a known nonlinear chaotic signal generator (CSG). In the receiver, the knowledge of the employed nonlinear CSG in conjunction with chaotic synchronization permits to recover the original message. These systems are an alternative for spread spectrum communication with a possible increase in the security in the physical layer, since it is necessary to perfectly know the CSG in the receiver to decode the message. However, the lack of robustness of chaotic synchronization in relation to channel noise and intersymbol interference still poses a barrier for their practical use. The problem of equalization for such systems have been tackled for a while, and algorithms based on the normalized least-mean squares have presented auspicious results for linear channels. For nonlinear channels, Kernel Adaptive Filters (KAFs) have been used since they are able to solve nonlinear problems implicitly projecting the input vector into a larger dimension space, where they can be linearly solved. Therefore, in this paper, we propose the use of KAFs with two purposes: to equalize linear and nonlinear channels and, at the same time, decode the message without knowledge of the CSG in the receiver. Simulation results show that the proposed solution is able to perform these tasks.

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New Trends in Chaos-Based Communications and Signal Processing

Cited by 4 publications

References 28 publications

Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)

Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)

Um estudo numérico do exponente de Lyapunov do Mapa Hénon com filtro FIR

Equalization in chaos-based communication systems using kernel adaptive filtering

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