Accession Number:

AD0411274

Title:

REPRESENTATION AND ANALYSIS OF SIGNALS. PART XIV. TIME-VARYING SYSTEMS WITH SEPARABLE SYSTEM FUNCTIONS,

Descriptive Note:

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD

Personal Author(s):

Report Date:

1963-01-30

Pagination or Media Count:

94.0

Abstract:

The relationship of the differential equation of a system to the systems weighting pattern im pulse response is discussed. he realization of linear differential systems is discussed, and some tricks regarding manipulation of the position of function generators in an analog computer type realization without changing the input-output relation are presented. Time varying systems describable by separable s-domain system functions are discussed. An s-domain sys tem function Hs,t is defined by regarding the response of a linear differential system to an input est as Hs,test. The interpretation of a separable Hs,t in terms of the corresponding weighting pattern and differential equation is discussed, and it is proved that a sufficient condition for separability is that Hs,t be rational in s. It is also shown that a non rational separable Hs,t must of necessity be a representation of a non-separable Hs,t consist ing of a finite number of terms. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE