Generalized Walsh Bases and Applications

    Authors

    D. E. Dutkay;G. Picioroaga

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Share

    COinS
     

    Accessibility Statement

    This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.