Real-time modal synthesis of nonlinearly interconnected networks

Michele Ducceschi, Stefan Bilbao, Craig Webb

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

Abstract / Description of output

Modal methods are a long-established approach to physical modeling sound synthesis. Projecting the equation of motion of a linear, time-invariant system onto a basis of eigenfunctions yields a set of independent forced, lossy oscillators, which may be simulated efficiently and accurately by means of standard time-stepping methods. Extensions of modal techniques to nonlinear problems are possible, though often requiring the solution of densely coupled nonlinear time-dependent equations. Here, an application of recent results in numerical simulation design is employed, in which the nonlinear energy is first quadratised via a convenient auxiliary variable. The resulting equations may be updated in time explicitly, thus avoiding the need for expensive iterative solvers, dense linear system solutions, or matrix inversions. The case of a network of interconnected distributed elements is detailed, along with a real-time implementation as an audio plugin.
Original languageEnglish
Title of host publicationProceedings of the 26th International Conference on Digital Audio Effects
Place of PublicationCopenhagen
Number of pages8
Publication statusPublished - 4 Sept 2023

Publication series

NameProceedings of the International Conference on Digital Audio Effects
ISSN (Print)2413-6700
ISSN (Electronic)2413-6689


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