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 March-3 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 system-theoretical questions on dyadic invariant systems. The theory of Nailor-LaBarre 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