Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities

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

Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

40 Citations (Scopus)

172 Downloads (Pure)

Abstract

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 language	English
Title of host publication	Proceedings of the 18th International Conference on Digital Audio Effects
Editors	Peter Svensson, Ulf Kristiansen
Place of Publication	Trondheim, Norway
Publisher	DAFx
Pages	387–394
Number of pages	8
Publication status	Published - 30 Nov 2015
Externally published	Yes
Event	18th International Conference on Digital Audio Effects (DAFx-15) - Norwegian University of Science and Technology, Trondheim, Norway Duration: 30 Nov 2015 → 03 Dec 2015

Publication series

Name	DAFx Proceedings
Volume	2413-6689
ISSN (Print)	2413-6700

Conference

Conference	18th International Conference on Digital Audio Effects (DAFx-15)
Country	Norway
City	Trondheim
Period	30/11/2015 → 03/12/2015

Access to Document

Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities
Copyright 2015 The Authors Published in the Proceedings of the 19th International Conference on Digital Audio Effects (DAFx-16)
Final published version, 372 KBLicence: Unspecified

http://www.ntnu.edu/dafx15/proceedingsLicence: Unspecified

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1 Participation in conference

18th International Conference on Digital Audio Effects (DAFx-15)
Kurt Werner (Participant)
30 Nov 2015 → 03 Dec 2015
Activity: Participating in or organising an event types › Participation in conference

Cite this

@inproceedings{80944336c9ae4c3b89bfd3ffb84aae68,

title = "Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities",

abstract = " 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.",

author = "Werner, {Kurt James} and Vaibhav Nangia and Julius Smith and Jonathan Abel",

year = "2015",

month = nov,

day = "30",

language = "English",

series = "DAFx Proceedings",

publisher = "DAFx",

pages = "387–394",

editor = "Peter Svensson and Ulf Kristiansen",

booktitle = "Proceedings of the 18th International Conference on Digital Audio Effects",

note = "18th International Conference on Digital Audio Effects (DAFx-15) ; Conference date: 30-11-2015 Through 03-12-2015",

}

Werner, KJ, Nangia, V, Smith, J & Abel, J 2015, Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities. in P Svensson & U Kristiansen (eds), Proceedings of the 18th International Conference on Digital Audio Effects., 54, DAFx Proceedings, vol. 2413-6689, DAFx, Trondheim, Norway, pp. 387–394, 18th International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway, 30/11/2015. <http://www.ntnu.edu/dafx15/proceedings>

Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities. / Werner, Kurt James; Nangia, Vaibhav; Smith, Julius; Abel, Jonathan.

Proceedings of the 18th International Conference on Digital Audio Effects. ed. / Peter Svensson; Ulf Kristiansen. Trondheim, Norway : DAFx, 2015. p. 387–394 54 (DAFx Proceedings; Vol. 2413-6689).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities

AU - Werner, Kurt James

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AU - Smith, Julius

AU - Abel, Jonathan

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N2 - 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.

AB - 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.

M3 - Conference contribution

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BT - Proceedings of the 18th International Conference on Digital Audio Effects

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