IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Bounds on Auto-Correlations of Markov Binary Sequences Generated by Fully-Stretching Piecewise-Linear Chaotic Maps
Akio TSUNEDA
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Keywords: Two-state Markov chain, binary sequence, chaotic map, fully-stretching piecewise-linear map, threshold function, auto-correlation
JOURNAL FREE ACCESS Advance online publication

Article ID: 2025EAL2004

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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.

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© 2025 The Institute of Electronics, Information and Communication Engineers
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