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Entwurf modulierter digitaler Filterbänke

Modulated digital filter bank design

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Zusammenfassung

Es wird ein verbessertes Entwurfsverfahren für modulierte Multiratenfilterbänke vorgestellt, mit dem sowohl Filterbänke mit äquidistanter Frequenzbandaufteilung, als auch solche mit nichtäquidistanter Bandaufteilung entworfen werden können. Verglichen mit anderen Methoden konvergiert das neue Verfahren wesentlich rascher und liefert speziell für Anwendungen im Bereich der Audiosignalverarbeitung exzellente Prototypfilter. Das Optimierungsverfahren benötigt keine der üblicherweise verwendeten nichtlinearen Optimierungsalgorithmen, sondern lediglich Routinen zum Lösen linearer Gleichungssysteme. Als Beispiel wird der Entwurf einer Filterbank zur gehörmäßig angepaßten Filterbankanalyse und_-synthese präsentiert.

Abstract

In this paper, we present an improved design method for multirate modulated filter banks with uniform or nouniform frequency spacing. Compared to other design techniques, our method converges very rapidly and allows for the design of excellent prototype filters, especially for audio signal processing applications. The optimization procedure avoids nonlinear function minimization and requires linear equation solving only. We demonstrate our method by a design example of filter banks for critical-band analysis/synthesis.

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Schrifttum

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Herrn Professor Dr.-Ing. Dr. h.c. mult. Hans Wilhelm Schüßler zum 70. Geburtstag gewidmet.

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Doblinger, G. Entwurf modulierter digitaler Filterbänke. Elektrotech. Inftech. 115, 10–15 (1998). https://doi.org/10.1007/BF03159132

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