Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops
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 i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-05-01
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| Series: | Applied Sciences |
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| Online Access: | http://www.mdpi.com/2076-3417/6/5/134 |
| _version_ | 1819003833627443200 |
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| author | David Medine |
| author_facet | David Medine |
| author_sort | David Medine |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T23:27:17Z |
| format | Article |
| id | doaj.art-bc5147fcf5d249a3ad73bcc19b190665 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-20T23:27:17Z |
| publishDate | 2016-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-bc5147fcf5d249a3ad73bcc19b1906652022-12-21T19:23:21ZengMDPI AGApplied Sciences2076-34172016-05-016513410.3390/app6050134app6050134Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free LoopsDavid Medine0Department of Music, University of California, San Diego, CA 92093, USAMany 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.http://www.mdpi.com/2076-3417/6/5/134digital signal processingsound synthesis and modelingdynamical systemsvirtual analogphysical modeling |
| spellingShingle | David Medine Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops Applied Sciences digital signal processing sound synthesis and modeling dynamical systems virtual analog physical modeling |
| title | Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops |
| title_full | Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops |
| title_fullStr | Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops |
| title_full_unstemmed | Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops |
| title_short | Dynamical Systems for Audio Synthesis: Embracing Nonlinearities and Delay-Free Loops |
| title_sort | dynamical systems for audio synthesis embracing nonlinearities and delay free loops |
| topic | digital signal processing sound synthesis and modeling dynamical systems virtual analog physical modeling |
| url | http://www.mdpi.com/2076-3417/6/5/134 |
| work_keys_str_mv | AT davidmedine dynamicalsystemsforaudiosynthesisembracingnonlinearitiesanddelayfreeloops |