Generalized Walsh bases and applications

DOI10.1007/s10440-013-9856-xzbMath1309.42038arXiv1307.7646OpenAlexW2072481030MaRDI QIDQ2255597

Gabriel Picioroaga, Dorin Ervin Dutkay

Publication date: 17 February 2015

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7646

zbMATH Keywords

convergenceWalsh functionsconditional expectationmartingaledata encryptiongeneralized Walsh systemsignal encodinggeneralized Walsh expansionpiecewise constant signals

Mathematics Subject Classification ID

Cryptography (94A60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

A generalized Walsh system for arbitrary matrices ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ Parseval frames of piecewise constant functions ⋮ On generalized Walsh bases

Uses Software

• Maple

Cites Work

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• Introduction to cryptography. Principles and applications.
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
• Orthonormal bases generated by Cuntz algebras
• A class of generalized Walsh functions
• On Walsh-Fourier Series
• A complete system of orthogonal step functions
• Construction algorithms for polynomial lattice rules for multivariate integration
• On the Walsh Functions

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