Accession Number : AD0638633

Title :   ENGINEERING APPLICATIONS OF FUNCTION SPACE CONCEPTS TO SIGNALS AND SYSTEMS. PART I. FINITE DIMENSIONAL SPACES.

Descriptive Note : Interim rept.

Corporate Author : SYRACUSE UNIV N Y

Personal Author(s) : Reza,F. M.

Report Date : AUG 1966

Pagination or Media Count : 99

Abstract : This report deals with those aspects of modern mathematics which form the foundation for any problems of the representation and processing of finite signals and systems. Chapter I is primarily concerned with an expositionary review of the problem of representation in a finite-dimensional space. The linear and quadratic forms (cost functions) associated with the elements of a vector space comprise the main theme of the second chapter. The third chapter deals with the theory of linear operators; that is, the linear processing of finite data. The familiar Euclidean real and complex spaces are treated in Chapter IV. Throughout the report, the author emphasized those aspects of the theory which appeared to be an indispensable tool for engineers and scientists. No previous knowledge beyond the undergraduate engineering courses is assumed. A good number of examples are included. Specific applications to electrical systems, communications and control theory will be undertaken in a subsequent report.

Descriptors :   (*FUNCTIONAL ANALYSIS, *SYSTEMS ENGINEERING), SYNTHESIS, ALGEBRA, VECTOR ANALYSIS, INFORMATION THEORY, MATHEMATICAL MODELS

Subject Categories : Operations Research
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE