ENGINEERING APPLICATIONS OF FUNCTION SPACE CONCEPTS TO SIGNALS AND SYSTEMS. PART I. FINITE DIMENSIONAL SPACES.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1966
- Accession Number
- AD0638633
Entities
People
- F. M. Reza
Organizations
- Syracuse University