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Faltung und Impulsantwort

In: Einführung in die Systemtheorie

Author

Listed:
  • Bernd Girod

    (Universität Erlangen-Nürnberg)

  • Rudolf Rabenstein

    (Universität Erlangen-Nürnberg)

  • Alexander Stenger

    (Universität Erlangen-Nürnberg)

Abstract

Zusammenfassung In Kapitel 6 hatten wir mit (6.5) die grundlegende Beziehung zwischen Ein- und Ausgangssignal eines LTI-Systems angegeben. Hier stehen die Systemfunktion H(s) und die Transformierte des Eingangssignals X(s) als Laplace-Transformierte gleichberechtigt nebeneinander. Nach den Rechenregeln der Multiplikation sind sie sogar vertauschbar. Andererseits scheint es sich nach unserem momentanen Kenntnisstand um zwei völlig verschiedene Funktionen zu handeln. X(s) ist die Laplace-Transformierte einer Zeitfunktion und kann nach (4.1) aus dem Eingangssignal x(t) berechnet werden: X(s) = ℒ{x(t)}.

Suggested Citation

  • Bernd Girod & Rudolf Rabenstein & Alexander Stenger, 1997. "Faltung und Impulsantwort," Springer Books, in: Einführung in die Systemtheorie, chapter 8, pages 157-199, Springer.
    • Handle: RePEc:spr:sprchp:978-3-663-09883-6_8
    DOI: 10.1007/978-3-663-09883-6_8
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