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  • Research Article
  • Open Access

Generalization of a 3-D Acoustic Resonator Model for the Simulation of Spherical Enclosures

EURASIP Journal on Advances in Signal Processing20012001:548382

  • Received: 20 April 2000
  • Published:


A rectangular enclosure has such an even distribution of resonances that it can be accurately and efficiently modelled using a feedback delay network. Conversely, a nonrectangular shape such as a sphere has a distribution of resonances that challenges the construction of an efficient model. This work proposes an extension of the already known feedback delay network structure to model the resonant properties of a sphere. A specific frequency distribution of resonances can be approximated, up to a certain frequency, by inserting an allpass filter of moderate order after each delay line of a feedback delay network. The structure used for rectangular boxes is therefore augmented with a set of allpass filters allowing parametric control over the enclosure size and the boundary properties. This work was motivated by informal listening tests which have shown that it is possible to identify a basic shape just from the distribution of its audible resonances.


  • physically-based sound modelling
  • spherical resonators
  • feedback delay networks

Authors’ Affiliations

Dipartimento Scientifico e Tecnologico, Università di Verona, Strada Le Grazie 15, Verona, I-37134, Italy
Zentrum für Kunst und Medientechnologie (ZKM), Institute for Music and Acoustics, Lorenzstrasse 19, Karlsruhe, D-76135, Germany


© Rocchesso and Dutilleux 2001