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Filterbänke

  • Chapter
Signaltheorie

Part of the book series: Informationstechnik ((INTE))

Zusammenfassung

Unter Filterbänken versteht man Anordnungen aus Tief-, Band- und Hochpaßfiltern, mit denen Signale gewissermaßen spektral zerlegt oder aus ihren Spektralanteilen zusammengesetzt werden können. Als Beispiel zeigt Bild 3.1 eine MKanal-Filterbank. Das Eingangssignal wird dabei in M sogenannte Teilbandsignale zerlegt, von denen jedes die Information über das Eingangssignal in einem bestimmten Spektralbereich bzw. Frequenzband enthält. Bei der in Bild 3.1 gezeigten Filterbank findet noch eine Unterabtastung der Teilbandsignale um den Faktor N statt. Wegen dieser Unterabtastung, die im Bild durch Blöcke mit nach unten gerichteten Pfeilen symbolisiert wird, bezeichnet man die Filterbank auch als ein Multiratensystem. Die Unterabtastung dient in der Regel dazu, die in den M Teilbandsignalen enthaltene Redundanz zu reduzieren bzw. vollständig zu entfernen. Da man nur dann damit rechnen kann, ein Signal x(n) aus unterabgetasteten Teilbandsignalen fehlerfrei zurückgewinnen zu können, wenn die Gesamtanzahl aller Teilband-Abtastwerte je Zeiteinheit größer oder gleich der Anzahl der Eingangswerte ist, spricht man bei einer Unterabtastung um N = M von einer kritischen Abtastung. Wählt man N < M, so nennt man die Abtastung unkritisch.

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Authors and Affiliations

  1. Technische Universität Hamburg-Harburg, Hamburg, Deutschland

    Dr.-Ing. habil. Alfred Mertins

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  1. Dr.-Ing. habil. Alfred Mertins
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© 1996 B. G. Teubner Stuttgart

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Mertins, A. (1996). Filterbänke. In: Signaltheorie. Informationstechnik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-05686-7_3

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  • DOI: https://doi.org/10.1007/978-3-663-05686-7_3

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-05687-4

  • Online ISBN: 978-3-663-05686-7

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