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Appl. Sci. 2016, 6(5), 134; doi:10.3390/app6050134

Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops

Department of Music, University of California, San Diego, CA 92093, USA
This paper is an extended version of our paper published in the 41st International Computer Music Conference (ICMC), Denton, TX, USA, 25 September–1 October 2015.
Academic Editor: Vesa Valimaki
Received: 1 February 2016 / Revised: 19 April 2016 / Accepted: 27 April 2016 / Published: 10 May 2016
(This article belongs to the Special Issue Audio Signal Processing)
View Full-Text   |   Download PDF [1211 KB, uploaded 10 May 2016]   |  

Abstract

Many systems featuring nonlinearities and delay-free loops are of interest in digital audio, particularly in virtual analog and physical modeling applications. Many of these systems can be posed as systems of implicitly related ordinary differential equations. Provided each equation in the network is itself an explicit one, straightforward numerical solvers may be employed to compute the output of such systems without resorting to linearization or matrix inversions for every parameter change. This is a cheap and effective means for synthesizing delay-free, nonlinear systems without resorting to large lookup tables, iterative methods, or the insertion of fictitious delay and is therefor suitable for real-time applications. Several examples are shown to illustrate the efficacy of this approach. View Full-Text
Keywords: digital signal processing; sound synthesis and modeling; dynamical systems; virtual analog; physical modeling digital signal processing; sound synthesis and modeling; dynamical systems; virtual analog; physical modeling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Medine, D. Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops. Appl. Sci. 2016, 6, 134.

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