
Accession Number : AD0714596
Title : Some Aspects of a Theory of Correlation with Respect to Walsh Harmonic Analysis,
Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF ELECTRICAL ENGINEERING
Personal Author(s) : Pichler,Franz
Report Date : AUG 1970
Pagination or Media Count : 77
Abstract : Walsh Functions have recently found some applications in different areas of signal and system processing and in communications. The symposium 'Applications of Walsh Functions' at Naval Research Laboratory, Washington, 31 March3 April 1970, demonstrated that there exists a broad interest on this subject. This paper should be both, a research work but also a tutorial work. Chapters 2, 3 and 4 give a short introduction to some concepts of the theory of Walsh Functions. Chapter 5 deals with questions concerning dyadic correlation functions. Chapter 6 presents the logical correlation theory of E. Gibbs. Chapter 7 deals with systemtheoretical questions on dyadic invariant systems. The theory of NailorLaBarre is applied to finite discrete dyadic invariant systems. Finally logical differential operators are considered as dyadic invariant systems.
Descriptors : (*HARMONIC ANALYSIS, FUNCTIONS(MATHEMATICS)), (*INFORMATION THEORY, POWER SPECTRA), CONTROL SYSTEMS, CORRELATION TECHNIQUES, FOURIER ANALYSIS, INTEGRAL TRANSFORMS, MATRICES(MATHEMATICS), MEASURE THEORY, STATISTICAL FUNCTIONS, SERIES(MATHEMATICS), THEOREMS
Subject Categories : Statistics and Probability
Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE