Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities

Kurt James Werner, Vaibhav Nangia, Julius Smith, Jonathan Abel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

44 Citations (Scopus)
224 Downloads (Pure)


We present a novel framework for developing Wave Digital Filter (WDF) models from reference circuits with multiple/multiport nonlinearities. Collecting all nonlinearities into a vector at the root of a WDF tree bypasses the traditional WDF limitation to a single nonlinearity. The resulting system has a complicated scattering relationship between the nonlinearity ports and the ports of the rest of the (linear) circuit, which can be solved by a Modified-Nodal-Analysis-derived method. For computability reasons, the scattering and vector nonlinearity must be solved jointly; we suggest a derivative of the K-method. This novel framework significantly expands the class of appropriate WDF reference circuits. A case study on a clipping stage from the Big Muff Pi distortion pedal involves both a transistor and a diode pair. Since it is intractable with standard WDF methods, its successful simulation demonstrates the usefulness of the novel framework.
Original languageEnglish
Title of host publicationProceedings of the 18th International Conference on Digital Audio Effects
EditorsPeter Svensson, Ulf Kristiansen
Place of PublicationTrondheim, Norway
Number of pages8
Publication statusPublished - 30 Nov 2015
Externally publishedYes
Event18th International Conference on Digital Audio Effects (DAFx-15) - Norwegian University of Science and Technology, Trondheim, Norway
Duration: 30 Nov 201503 Dec 2015

Publication series

NameDAFx Proceedings
ISSN (Print)2413-6700


Conference18th International Conference on Digital Audio Effects (DAFx-15)


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