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...

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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
Descripción
Sumario: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.

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