ANALYTICAL TECHNIQUES FOR LINEAR TIMEVARYING SYSTEMS
Technical rept. no. 81
CORNELL UNIV ITHACA NY ELECTRICAL ENGINEERING RESEARCH LAB
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The definition of several new system functions leads to a more complete characterization of time-varying linear systems. A family of twelve system functions, including the impulse-response K system functions, are used to describe time-varying linear systems. The relationships among the various system functions are clearly illustrated. The K system functions are shown to be convenient for the analysis of cascaded systems. The time-frequency duality concept is discussed with respect to the system functions, and the introduction of physical variables extends the duality concept so that knowing one relationship is equivalent to knowing four relationships. The expansion of system functions in terms of a complete set of functions in two dimensional space or in a sampling series for an appropriately band-limited andor time- limited system leads to a matrix characterization of time-varying linear systems. Schemes for evaluating the coefficients of the expansions are described.
- Theoretical Mathematics