
Accession Number : AD0420573
Title : CHARACTERIZATION OF TIMEVARYING LINEAR SYSTEMS,
Descriptive Note : Technical rept.,
Corporate Author : CORNELL UNIV ITHACA N Y SCHOOL OF ELECTRICAL ENGINEERING
Personal Author(s) : Gersho,A.
Report Date : FEB 1963
Pagination or Media Count : 173
Abstract : It is shown that a versatile description of timevarying linear systems is achieved by the use of a family of eight system functions that includes the G and H transfer functions. This approach is extended to multidimensional systems and to ''vectortime'' systems operating on signals that are specified by a function of several variables. The class of timevarying linear systems that is specified implicitly by a set of nth order linear differential equations in r variables is considered. The explicit form of the impulse response of the system is derived in order to bridge the gap between the differential equation and the systemfunction specifications of a timevarying linear system. The same basic approach for characterizing deterministic systems leads to procedures for the characterization of randomly varying systems subjected to random inputs. The general case where the system and input are nonstationary is considered for both unidimensional and multidimensional systems. (Author)
Descriptors : (*LINEAR SYSTEMS, DIFFERENTIAL), SIGNALS, FUNCTIONS(MATHEMATICS), INTEGRAL, STATISTICAL FUNCTIONS, NETWORKS, TRANSFORMATIONS (MATHEMATICS), OPERATORS, INTEGRAL EQUATIONS, SPECIAL, MATHEMATICAL MODELS, PARTIAL, MATRICES(MATHEMATICS), DIFFERENTIAL EQUATIONS, STABILITY, COMPLEX, DOPPLER EFFECT, RADAR, OPTICAL, COMMUNICATION THEORY
Distribution Statement : APPROVED FOR PUBLIC RELEASE