Generalized Walsh Bases and Applications

2013/07/29 by Dorin Dutkay, Dutkay, Dorin, Gabriel Picioroaga +1
Mathematics · #42-04 #42A38 #42C10 #42C40 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42-04 #msc:42A38 #msc:42C10 #msc:42C40

paper · pdf · doi:10.48550/arxiv.1307.7646

arxiv created 2013/07/29 · arxiv updated 2013/07/30

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].

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