Title
Generalized Walsh Bases And Applications
Keywords
Conditional expectation; Encoding; Generalized Walsh functions; Maple; Martingale; Public key cryptography
Abstract
We investigate convergence properties of generalized Walsh series associated with signals f ∈ L1[0,1]. We also show how the dependence of the generalized Walsh bases on N × N unitary matrices allows for applications in signal encoding and encryption, provided the signals are piece-wise constant on N-adic subintervals of [0,1]. © 2013 Springer Science+Business Media.
Publication Date
1-1-2014
Publication Title
Acta Applicandae Mathematicae
Volume
133
Issue
1
Number of Pages
1-18
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s10440-013-9856-x
Copyright Status
Unknown
Socpus ID
84907018196 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84907018196
STARS Citation
Dutkay, Dorin Ervin and Picioroaga, Gabriel, "Generalized Walsh Bases And Applications" (2014). Scopus Export 2010-2014. 9347.
https://stars.library.ucf.edu/scopus2010/9347