A previously existing nonlinear differential equation system modeling the EMS VCS3 voltage controlled filter is reformulated here in polynomial form, avoiding the expensive computation of transcendent functions imposed by the original model. The new system is discretized by means of an implicit numerical scheme, and solved using Newton Raphson iterations. While maintaining instantaneous controllability, the algorithm is both significantly faster and more accurate than the previous filter-based solution. A real time version of the model has been implemented under the Pure Data audio processing environment and as a VST plugin.

Efficient Polynomial Implementation of the EMS VCS3 Filter Model

FONTANA, Federico
2011-01-01

Abstract

A previously existing nonlinear differential equation system modeling the EMS VCS3 voltage controlled filter is reformulated here in polynomial form, avoiding the expensive computation of transcendent functions imposed by the original model. The new system is discretized by means of an implicit numerical scheme, and solved using Newton Raphson iterations. While maintaining instantaneous controllability, the algorithm is both significantly faster and more accurate than the previous filter-based solution. A real time version of the model has been implemented under the Pure Data audio processing environment and as a VST plugin.
9782954035109
File in questo prodotto:
File Dimensione Formato  
99_eOfficial.pdf

non disponibili

Tipologia: Altro materiale allegato
Licenza: Non pubblico
Dimensione 874.76 kB
Formato Adobe PDF
874.76 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/865512
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? ND
social impact