REPRESENTATION AND ANALYSIS OF SIGNALS PART XII. THE DESIGN OF PURE SYSTEMS.
JOHNS HOPKINS UNIV BALTIMORE MD
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In this final report, the accomplishments of a research program on representation of signals are surveyed and briefly summarized. Abstracts are given in an appendix of the technical reports that have been published since the inception of the program in 1956. The main body of the report is devoted to a coordinate-free formu lation, using Diracs notation as extended by Lai and Ross, of some of the central concepts of linear-system theory. The notation provides a clear distinction between signals i.e. observa bles and patterns i.e. measurement processes and the numerical representatives which describes these signals or patterns on some numerical domain. It is hoped that the discussion will reveal how badly confounded numbers have become with that which the numbers represent, and will suggest ways in which recent developments in modern algebra may be incorporated into engi5eer ing education and practice. Author