ANALYTICAL TECHNIQUES FOR LINEAR TIMEVARYING SYSTEMS

Abstract

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 and/or time- limited system leads to a matrix characterization of time-varying linear systems. Schemes for evaluating the coefficients of the expansions are described.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0609978

Entities

People

  • N. Liskov

Organizations

  • Cornell University College of Engineering

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Birds
  • Closed Loop Systems
  • Communication Channels
  • Communication Systems
  • Control Systems
  • Demodulators
  • Doppler Effect
  • Eigenvalues
  • Eigenvectors
  • Frequency
  • Geometry
  • Modulators
  • Radar
  • Satellite Communications
  • Side Looking Radar
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Control Systems Engineering.

Technology Areas

  • Space