REPRESENTATION AND ANALYSIS OF SIGNALS. PART XIV. TIME-VARYING SYSTEMS WITH SEPARABLE SYSTEM FUNCTIONS,
Abstract
The relationship of the differential equation of a system to the system's 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 H(s,t) is defined by regarding the response of a linear differential system to an input est as H(s,t)est. The interpretation of a separable H(s,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 H(s,t) be rational in s. It is also shown that a non rational separable H(s,t) must of necessity be a representation of a non-separable H(s,t) consist ing of a finite number of terms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 30, 1963
- Accession Number
- AD0411274
Entities
People
- Leonard S Weiss
Organizations
- Johns Hopkins University