Accession Number : AD0600236

Title :   THE TIME DOMAIN SYNTHESIS OF DISTRIBUTIONS.

Descriptive Note : Scientific rept. no. 3,

Corporate Author : STATE UNIV OF NEW YORK STONY BROOK COLL OF ENGINEERING

Personal Author(s) : Zemanian,A. H.

Report Date : 01 FEB 1964

Pagination or Media Count : 56

Abstract : A new dimension to the time-domain synthesis problem is proposed. In particular, the objective is to find a realizable signal that approximates a given distribution (i.e., generalized function). A solution is then presented, several convergence criteria are discussed, and some examples are given. A feature of the present technique is that, if the Laplace transform of the given distribution is known, the realizable approximating signal can be written down without any computation. It only requires values of the Laplace transform at various points in its region of convergence. The method also yields a convenient technique for visualizing those distributions that cannot be plotted. Since ordinary locally integrable functions are special cases of distributions, the technique is significant for the customary time-domain synthesis problem as well. (Author)

Descriptors :   (*DISTRIBUTION THEORY, ELECTRICAL NETWORKS), (*ELECTRICAL NETWORKS, SYNTHESIS), (*CIRCUITS, THEORY), INTEGRAL TRANSFORMS, FUNCTIONS(MATHEMATICS), SERIES(MATHEMATICS), SEQUENCES(MATHEMATICS), NUMERICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE