Paper Info
Title
A Multidimensional State-Space Approach for the Numerical Simulation of Sound Propagation in Enclosures
Abstract
This paper presents a multidimensional state-space approach for the numerical simulation of sound propagation in enclo- sures. The simulation algorithm is essentially based on the wave digital lter principle however we will give a more di- rect access to the numerical solution of the wave equation here. To simulate sound propagation in enclosures, a de- tailed treatment of the boundary conditions is necessary. We focus in this paper on the treatment of memoryless boundary conditions in the new simulation algorithm. 1I NTRODUCTION The design of real and virtual acoustical environments re- quires exact control of the sound eld in enclosures. How- ever, practical implementations such as concert halls, home theaters, car interiors, or sound rendering in computer games often fail to meet the user's expectations. On the one hand, the complexity of this task is considerable, since a number of acoustic channels are used to control amplitude and phase of sound waves in space and time. On the other hand, there are no suitable computer design tools. Most of the existing methods for the prediction of acoustical behaviour are based on the simplifying assumption that sound propagation can be modelled similar to the propagation of light waves. An exact simulation of a dynamic sound eld is unfortunately only possible by numerically solving of the acoustical wave equation. For free space propagation, this is not a major problem, given that sucient computing power is available. However, to simulate sound propagation in enclosures a de- tailed treatment of the boundary conditions is indispensable. In this paper we present a multidimensional state-space ap- proach for numerical simulation of sound propagation in en- closures. We proceed as follows: First we will introduce the core simu- lation algorithm an its modications for boundary conditions in Section 2. Section 3 explains some details on the imple- mentation and nally Section 4 shows some results using our proposed algorithm for the sound propagation simulation of a horn loudspeaker.
Year
Venue
Field
2002
European Signal Processing Conference
Boundary value problem,Digital filter,Sound propagation,Computer simulation,Wave equation,Acoustics,Simulation algorithm,State space,Mathematics
DocType
ISSN
Citations 
Conference
2219-5491
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Sascha Spors110819.70
Rudolf Rabenstein212032.77