On the correlation of chaotic signals generated by multimodal skew tent map

Sahnoune, Ahmed; Berkani, Daoud

doi:10.1007/s11760-018-1279-8

Cited by 12 publications

(2 citation statements)

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“…In literature, current speech encryption methods using chaotic systems have gained attention for their sensitivity to initial conditions [9], unpredictability, and ergodicity, making them ideal for scrambling data in cryptographic systems [10,11]. However, the generation of long chaotic signals with chaotic maps can lead to undesirable outcomes, including increased computational costs in terms of memory and execution time.…”

Section: Related Workmentioning

confidence: 99%

Enhancing Speech Privacy through Dynamic Chaos- Driven Scrambling with Nested Segmentation

MERRAD,

NOURI

2024

Preprint

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Designing speech cryptosystems presents huge challenges. This paper introduces a novel speech scrambling approach that leverages the strength of two chaotic maps and nested segments. Initially, the process of the scrambling determines the starting point of each segment after diverse parameters are provided, such as the starting point of the first piece and the length of each segment. Then, based on a rearranged chaotic signal generated by the Tent map, the process commences permuting the samples of the nested segments with a specific order that determined according to another rearranged chaotic signal created using the Logistic map. In order to allow the possibility of permuting the samples beyond their initial segment, the process of scrambling iterates throughout the whole signal several times, using a supplied key. The achieved outcomes shows the efficiency of the planned method, as SNR values can reach − 3 and infinity in scrambling and unscrambling operations, respectively, as well, the waveforms vividly depict the flawless diffusion of the samples across the length of the signal.

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Section: Related Workmentioning

confidence: 99%

Enhancing Speech Privacy through Dynamic Chaos- Driven Scrambling with Nested Segmentation

MERRAD,

NOURI

2024

Preprint

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“…The probability density of some chaotic maps are the fixed points of their Frobenius-Perron operators [27], while the probability density functions of most of chaotic systems are difficult to derive analytically, and only can they be calculated numerically. Numerical computation leads to the density of orbits of the Lozi map for a = 1.7 and b = 0.5 , displayed in Fig.…”

Section: Probability Densitymentioning

confidence: 99%

On the performance of chaotic interleaver for turbo codes

Sahnoune

Berkani

2021

SN Appl. Sci.

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It is well known that the interleaver plays a critical role in the performance of turbo codes and its design using random and deterministic permutations. In this paper, we present a new method to design a deterministic interleaver with random-like behavior based on two-dimensional chaotic map, so called lozi map. The designed interleaver is called chaotic interleaver. The statistical properties and the performance of such interleaver have been investigated and compared with random interleaver and dithered golden interleaver. Chaotic interleaver results in lowering the latency and the complexity of implementation and enhance the reliability and the security of the communication system.

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