Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions

The statistical properties of chaotic binary sequences generated by the Bernoulli map and Walsh functions are discussed. The Walsh functions are based on a [Formula: see text] Hadamard matrix. For general k (= [Formula: see text]), we will prove that [Formula: see text] Walsh functions can generate...

Descripción completa

Detalles Bibliográficos
Autor principal: Tsuneda, Akio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514262/
http://dx.doi.org/10.3390/e21100930
_version_ 1783586547623264256
author Tsuneda, Akio
author_facet Tsuneda, Akio
author_sort Tsuneda, Akio
collection PubMed
description The statistical properties of chaotic binary sequences generated by the Bernoulli map and Walsh functions are discussed. The Walsh functions are based on a [Formula: see text] Hadamard matrix. For general k (= [Formula: see text]), we will prove that [Formula: see text] Walsh functions can generate essentially different balanced and i.i.d. binary sequences that are orthogonal to each other.
format Online
Article
Text
id pubmed-7514262
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-75142622020-11-09 Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions Tsuneda, Akio Entropy (Basel) Article The statistical properties of chaotic binary sequences generated by the Bernoulli map and Walsh functions are discussed. The Walsh functions are based on a [Formula: see text] Hadamard matrix. For general k (= [Formula: see text]), we will prove that [Formula: see text] Walsh functions can generate essentially different balanced and i.i.d. binary sequences that are orthogonal to each other. MDPI 2019-09-24 /pmc/articles/PMC7514262/ http://dx.doi.org/10.3390/e21100930 Text en © 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Tsuneda, Akio
Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title_full Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title_fullStr Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title_full_unstemmed Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title_short Orthogonal Chaotic Binary Sequences Based on Bernoulli Map and Walsh Functions
title_sort orthogonal chaotic binary sequences based on bernoulli map and walsh functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514262/
http://dx.doi.org/10.3390/e21100930
work_keys_str_mv AT tsunedaakio orthogonalchaoticbinarysequencesbasedonbernoullimapandwalshfunctions

Ejemplares similares