Generalized Walsh Bases and Applications

    Authors

    D. E. Dutkay;G. Picioroaga

    Comments

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    Abbreviated Journal Title

    Acta Appl. Math.

    Keywords

    Conditional expectation; Encoding; Generalized Walsh functions; Martingale; Maple; Public key cryptography; MULTIVARIATE INTEGRATION; Mathematics, Applied

    Abstract

    We investigate convergence properties of generalized Walsh series associated with signals faL (1)[0,1]. We also show how the dependence of the generalized Walsh bases on NxN unitary matrices allows for applications in signal encoding and encryption, provided the signals are piece-wise constant on N-adic subintervals of [0,1].

    Journal Title

    Acta Applicandae Mathematicae

    Volume

    133

    Issue/Number

    1

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    1

    Last Page

    18

    WOS Identifier

    WOS:000341707200001

    ISSN

    0167-8019

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