A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies

Kurt James Werner; Vaibhav Nangia; Julius O. Smith; Jonathan S. Abel

doi:10.1109/WASPAA.2015.7336908

A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies

Kurt James Werner, Vaibhav Nangia, Julius O. Smith, Jonathan S. Abel

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

24 Citations (Scopus)

Abstract

A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented. It confronts graph-theoretic views of WDF structures (SPQR tree) with techniques from the nonlinear loop resolution literature (the K method) and a novel method for deriving scattering matrices (WDF adaptors) of arbitrarily complex topologies. It accommodates any number of memoryless nonlinearities with any number of ports each without requiring simplifying assumptions. A case study on the first clipping stage of the Big Muff Pi distortion pedal is presented. This circuit, with its multiple nonlinearities, multiport nonlinearity, and complicated topology, poses an intractable problem for state-of-the-art WDF methods. Hence, successful simulation of this circuit demonstrates the novelty and robustness of our framework.

Original language	English
Title of host publication	Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)
Place of Publication	New Paltz, NY
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	978-1-4799-7450-15
ISBN (Print)	978-1-4799-7450-4
DOIs	https://doi.org/10.1109/WASPAA.2015.7336908
Publication status	Published - 30 Nov 2015
Externally published	Yes
Event	IEEE Workshop on Applications of Signal Processing to Audio and Acoustics - Mohonk Mountain House, New Paltz, United States Duration: 18 Oct 2015 → 21 Oct 2015 http://www.waspaa.com/

Conference

Conference	IEEE Workshop on Applications of Signal Processing to Audio and Acoustics
Abbreviated title	WASPAA
Country/Territory	United States
City	New Paltz
Period	18/10/2015 → 21/10/2015
Internet address	http://www.waspaa.com/

Bibliographical note

awarded Best Student Paper

Access to Document

10.1109/WASPAA.2015.7336908Licence: Unspecified

IEEE Workshop on Applications of Signal Processing to Audio and Acoustics
Kurt Werner (Participant)
18 Oct 2015 → 21 Oct 2015
Activity: Participating in or organising an event types › Participation in conference

WASPAA Best Student Paper Award
Werner, Kurt (Recipient), Nangia, Vaibhav (Recipient), Smith, Julius (Recipient) & Abel, Jonathan (Recipient), 18 Oct 2015
Prize: Prize (including medals and awards)

File

Cite this

Werner, K. J., Nangia, V., Smith, J. O., & Abel, J. S. (2015). A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies. In Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA) Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WASPAA.2015.7336908

Werner, Kurt James ; Nangia, Vaibhav ; Smith, Julius O. et al. / A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies. Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA). New Paltz, NY : Institute of Electrical and Electronics Engineers Inc., 2015.

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title = "A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies",

abstract = "A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented. It confronts graph-theoretic views of WDF structures (SPQR tree) with techniques from the nonlinear loop resolution literature (the K method) and a novel method for deriving scattering matrices (WDF adaptors) of arbitrarily complex topologies. It accommodates any number of memoryless nonlinearities with any number of ports each without requiring simplifying assumptions. A case study on the first clipping stage of the Big Muff Pi distortion pedal is presented. This circuit, with its multiple nonlinearities, multiport nonlinearity, and complicated topology, poses an intractable problem for state-of-the-art WDF methods. Hence, successful simulation of this circuit demonstrates the novelty and robustness of our framework.",

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

note = "awarded Best Student Paper; IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, WASPAA ; Conference date: 18-10-2015 Through 21-10-2015",

year = "2015",

month = nov,

day = "30",

doi = "10.1109/WASPAA.2015.7336908",

language = "English",

isbn = "978-1-4799-7450-4",

booktitle = "Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Werner, KJ, Nangia, V, Smith, JO & Abel, JS 2015, A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies. in Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA). Institute of Electrical and Electronics Engineers Inc., New Paltz, NY, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, United States, 18/10/2015. https://doi.org/10.1109/WASPAA.2015.7336908

A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies. / Werner, Kurt James; Nangia, Vaibhav; Smith, Julius O. et al.
Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA). New Paltz, NY: Institute of Electrical and Electronics Engineers Inc., 2015.

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

TY - GEN

T1 - A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies

AU - Werner, Kurt James

AU - Nangia, Vaibhav

AU - Smith, Julius O.

AU - Abel, Jonathan S.

N1 - awarded Best Student Paper

PY - 2015/11/30

Y1 - 2015/11/30

N2 - A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented. It confronts graph-theoretic views of WDF structures (SPQR tree) with techniques from the nonlinear loop resolution literature (the K method) and a novel method for deriving scattering matrices (WDF adaptors) of arbitrarily complex topologies. It accommodates any number of memoryless nonlinearities with any number of ports each without requiring simplifying assumptions. A case study on the first clipping stage of the Big Muff Pi distortion pedal is presented. This circuit, with its multiple nonlinearities, multiport nonlinearity, and complicated topology, poses an intractable problem for state-of-the-art WDF methods. Hence, successful simulation of this circuit demonstrates the novelty and robustness of our framework.

AB - A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented. It confronts graph-theoretic views of WDF structures (SPQR tree) with techniques from the nonlinear loop resolution literature (the K method) and a novel method for deriving scattering matrices (WDF adaptors) of arbitrarily complex topologies. It accommodates any number of memoryless nonlinearities with any number of ports each without requiring simplifying assumptions. A case study on the first clipping stage of the Big Muff Pi distortion pedal is presented. This circuit, with its multiple nonlinearities, multiport nonlinearity, and complicated topology, poses an intractable problem for state-of-the-art WDF methods. Hence, successful simulation of this circuit demonstrates the novelty and robustness of our framework.

U2 - 10.1109/WASPAA.2015.7336908

DO - 10.1109/WASPAA.2015.7336908

M3 - Conference contribution

SN - 978-1-4799-7450-4

BT - Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)

PB - Institute of Electrical and Electronics Engineers Inc.

CY - New Paltz, NY

T2 - IEEE Workshop on Applications of Signal Processing to Audio and Acoustics

Y2 - 18 October 2015 through 21 October 2015

ER -

Werner KJ, Nangia V, Smith JO, Abel JS. A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies. In Proceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA). New Paltz, NY: Institute of Electrical and Electronics Engineers Inc. 2015 doi: 10.1109/WASPAA.2015.7336908

A General and Explicit Formulation for Wave Digital Filters with Multiple/Multiport Nonlinearities and Complicated Topologies

Abstract

Conference

Bibliographical note

Access to Document

Fingerprint

Activities

IEEE Workshop on Applications of Signal Processing to Audio and Acoustics

Prizes

WASPAA Best Student Paper Award

Cite this