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 proceedingConference contribution

15 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 languageEnglish
Title of host publicationProceedings of the 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)
Place of PublicationNew Paltz, NY
Publisher IEEE
ISBN (Electronic)978-1-4799-7450-15
ISBN (Print)978-1-4799-7450-4
DOIs
Publication statusPublished - 30 Nov 2015
Externally publishedYes
EventIEEE Workshop on Applications of Signal Processing to Audio and Acoustics - Mohonk Mountain House, New Paltz, United States
Duration: 18 Oct 201521 Oct 2015
http://www.waspaa.com/

Conference

ConferenceIEEE Workshop on Applications of Signal Processing to Audio and Acoustics
Abbreviated titleWASPAA
CountryUnited States
CityNew Paltz
Period18/10/201521/10/2015
Internet address

Bibliographical note

awarded Best Student Paper

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  • Activities

    • 1 Participation in conference

    IEEE Workshop on Applications of Signal Processing to Audio and Acoustics

    Kurt Werner (Participant)

    18 Oct 201521 Oct 2015

    Activity: Participating in or organising an event typesParticipation in conference

    Prizes

    WASPAA Best Student Paper Award

    Kurt Werner (Recipient), Vaibhav Nangia (Recipient), Julius Smith (Recipient) & Jonathan Abel (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) IEEE . https://doi.org/10.1109/WASPAA.2015.7336908