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Antiderivative Antialiasing for Stateful Systems

Frequency-Dependent Schroeder Allpass Filters

Department of Signal Processing and Acoustics and Department of Media, Aalto University, 02150 Espoo, Finland
Appl. Sci. 2020, 10(1), 187;
Received: 30 November 2019 / Revised: 20 December 2019 / Accepted: 20 December 2019 / Published: 25 December 2019
(This article belongs to the Special Issue Digital Audio Effects)
Since the introduction of feedforward–feedback comb allpass filters by Schroeder and Logan, its popularity has not diminished due to its computational efficiency and versatile applicability in artificial reverberation, decorrelation, and dispersive system design. In this work, we present an extension to the Schroeder allpass filter by introducing frequency-dependent feedforward and feedback gains while maintaining the allpass characteristic. By this, we directly improve upon the design of Dahl and Jot which exhibits a frequency-dependent absorption but does not preserve the allpass property. At the same time, we also improve upon Gerzon’s allpass filter as our design is both less restrictive and computationally more efficient. We provide a complete derivation of the filter structure and its properties. Furthermore, we illustrate the usefulness of the structure by designing an allpass decorrelation filter with frequency-dependent decay characteristics. View Full-Text
Keywords: filter design; allpass filter; artificial reverberation; decorrelation; dispersion filter design; allpass filter; artificial reverberation; decorrelation; dispersion
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MDPI and ACS Style

Schlecht, S.J. Frequency-Dependent Schroeder Allpass Filters. Appl. Sci. 2020, 10, 187.

AMA Style

Schlecht SJ. Frequency-Dependent Schroeder Allpass Filters. Applied Sciences. 2020; 10(1):187.

Chicago/Turabian Style

Schlecht, Sebastian J. 2020. "Frequency-Dependent Schroeder Allpass Filters" Applied Sciences 10, no. 1: 187.

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