A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters

Kurt James Werner; W. Ross Dunkel; François G. Germain

A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters

Kurt James Werner, W. Ross Dunkel, François G. Germain

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

12 Citations (Scopus)

334 Downloads (Pure)

Abstract

We present a computational model of the Hammond tonewheel organ vibrato/chorus, a musical audio effect comprising an LC ladder circuit and an electromechanical scanner. We model the LC ladder using the Wave Digital Filter (WDF) formalism, and introduce a new approach to resolving multiple nonadaptable linear elements at the root of a WDF tree. Additionally we formalize how to apply the well-known warped Bilinear Transform to WDF discretization of capacitors and inductors and review WDF polarity inverters. To model the scanner we propose a simplified and physically-informed approach. We discuss the time- and frequency-domain behavior of the model, emphasizing the spectral properties of interpolation between the taps of the LC ladder.

Original language	English
Title of host publication	Proceedings of the 19th International Conference on Digital Audio Effects
Editors	Pavel Rajmic, František Rund, Jiří Schimmel
Publisher	DAFx
Pages	271–278
Number of pages	8
Publication status	Published - 05 Sep 2016
Externally published	Yes
Event	19th International Conference on Digital Audio Effects - Brno, Czech Republic Duration: 05 Sep 2016 → 09 Sep 2016

Conference

Conference	19th International Conference on Digital Audio Effects
Abbreviated title	DAFx-16
Country	Czech Republic
City	Brno
Period	05/09/2016 → 09/09/2016

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A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters
Copyright 2016 The Authors Published in the Proceedings of the 19th International Conference on Digital Audio Effects (DAFx-16)
Final published version, 1.4 MBLicence: Unspecified

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1 Participation in conference

19th International Conference on Digital Audio Effects
Kurt Werner (Participant)
05 Sep 2016 → 09 Sep 2016
Activity: Participating in or organising an event types › Participation in conference

Cite this

@inproceedings{269c18f55f204cc18e1e24a23d4e6e82,

title = "A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters",

abstract = " We present a computational model of the Hammond tonewheel organ vibrato/chorus, a musical audio effect comprising an LC ladder circuit and an electromechanical scanner. We model the LC ladder using the Wave Digital Filter (WDF) formalism, and introduce a new approach to resolving multiple nonadaptable linear elements at the root of a WDF tree. Additionally we formalize how to apply the well-known warped Bilinear Transform to WDF discretization of capacitors and inductors and review WDF polarity inverters. To model the scanner we propose a simplified and physically-informed approach. We discuss the time- and frequency-domain behavior of the model, emphasizing the spectral properties of interpolation between the taps of the LC ladder.",

author = "Werner, {Kurt James} and Dunkel, {W. Ross} and Germain, {Fran{\c c}ois G.}",

year = "2016",

month = sep,

day = "5",

language = "English",

pages = "271–278",

editor = "Pavel Rajmic and Franti{\v s}ek Rund and Ji{\v r}{\'i} Schimmel",

booktitle = "Proceedings of the 19th International Conference on Digital Audio Effects",

publisher = "DAFx",

note = "19th International Conference on Digital Audio Effects , DAFx-16 ; Conference date: 05-09-2016 Through 09-09-2016",

}

Werner, KJ, Dunkel, WR & Germain, FG 2016, A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters. in P Rajmic, F Rund & J Schimmel (eds), Proceedings of the 19th International Conference on Digital Audio Effects., 54, DAFx, pp. 271–278, 19th International Conference on Digital Audio Effects , Brno, Czech Republic, 05/09/2016. <http://dafx16.vutbr.cz/proceedings.html>

A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters. / Werner, Kurt James; Dunkel, W. Ross; Germain, François G.

Proceedings of the 19th International Conference on Digital Audio Effects. ed. / Pavel Rajmic; František Rund; Jiří Schimmel. DAFx, 2016. p. 271–278 54.

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

TY - GEN

T1 - A Computational model of the Hammond Organ Vibrato/Chorus Using Wave Digital Filters

AU - Werner, Kurt James

AU - Dunkel, W. Ross

AU - Germain, François G.

PY - 2016/9/5

Y1 - 2016/9/5

N2 - We present a computational model of the Hammond tonewheel organ vibrato/chorus, a musical audio effect comprising an LC ladder circuit and an electromechanical scanner. We model the LC ladder using the Wave Digital Filter (WDF) formalism, and introduce a new approach to resolving multiple nonadaptable linear elements at the root of a WDF tree. Additionally we formalize how to apply the well-known warped Bilinear Transform to WDF discretization of capacitors and inductors and review WDF polarity inverters. To model the scanner we propose a simplified and physically-informed approach. We discuss the time- and frequency-domain behavior of the model, emphasizing the spectral properties of interpolation between the taps of the LC ladder.

AB - We present a computational model of the Hammond tonewheel organ vibrato/chorus, a musical audio effect comprising an LC ladder circuit and an electromechanical scanner. We model the LC ladder using the Wave Digital Filter (WDF) formalism, and introduce a new approach to resolving multiple nonadaptable linear elements at the root of a WDF tree. Additionally we formalize how to apply the well-known warped Bilinear Transform to WDF discretization of capacitors and inductors and review WDF polarity inverters. To model the scanner we propose a simplified and physically-informed approach. We discuss the time- and frequency-domain behavior of the model, emphasizing the spectral properties of interpolation between the taps of the LC ladder.

M3 - Conference contribution

SP - 271

EP - 278

BT - Proceedings of the 19th International Conference on Digital Audio Effects

A2 - Rajmic, Pavel

A2 - Rund, František

A2 - Schimmel, Jiří

PB - DAFx

T2 - 19th International Conference on Digital Audio Effects

Y2 - 5 September 2016 through 9 September 2016

ER -