Bounds on Auto-Correlations of Markov Binary Sequences Generated by Fully-Stretching Piecewise-Linear Chaotic Maps

A fully-stretching piecewise-linear (FSPL) chaotic map and a threshold function can generate a Markov binary sequence having exponentially vanishing auto-correlations. Based on the conditions of FSPL maps, we discuss bounds on the auto-correlations of the Markov binary sequences.

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Journal
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Published
2025-03-18
DOI
https://doi.org/10.1587/transfun.2025eal2004
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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0.00
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article

Bounds on Auto-Correlations of Markov Binary Sequences Generated by Fully-Stretching Piecewise-Linear Chaotic Maps

Akio Tsuneda
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Mathematical Dynamics and Fractals
article

Bounds on Auto-Correlations of Markov Binary Sequences Generated by Fully-Stretching Piecewise-Linear Chaotic Maps

Akio Tsuneda
article en

Abstract

A fully-stretching piecewise-linear (FSPL) chaotic map and a threshold function can generate a Markov binary sequence having exponentially vanishing auto-correlations. Based on the conditions of FSPL maps, we discuss bounds on the auto-correlations of the Markov binary sequences.

IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesVol. E108.A(9)
Kumamoto University (JP)
Reduced inequalities
Openalex Percentile: Top 91%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Bounds on Auto-Correlations of Markov Binary Sequences Generated by Fully-Stretching Piecewise-Linear Chaotic Maps — Akio Tsuneda · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences (2025) | TGRS Research Map | TGRS