LINEAR OPERATORS FOR DATA PROCESSING
Abstract
A summary is presented of procedures required in the application of linear operator theory to one aspect of systems analysis--namely, the treatment of experimental data, or data processing. Essentially, the procedures described are generalizations of the procedures usually discussed under the title of numerical analysis or the calculus of differences; the generalization consists of revising the various formulas to include any of various kinds or degrees of smoothing to minimize the effects of chance fluctuations, experimental errors, etc., upon the functions which are taken to be representations of the behavior of a system. General formulas are provided from which the user can obtain a wide variety of special formulas for smoothing, interpolating or extrapolating, differentiating, integrating, etc.; a table is given to simplify the use of the general formulas, and a variety of examples is included to illustrate how special formulas are obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1962
- Accession Number
- AD0278143
Entities
People
- Ralph E. Lane
Organizations
- University of Texas at Austin