Wideband and Isotropic Room Acoustics Simulation Using 2-D Interpolated FDTD Schemes

K. Kowalczyk, Maarten Van Walstijn

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this paper, a complete method for finite-difference time-domain modeling of rooms in 2-D using compact explicit schemes is presented. A family of interpolated schemes using a rectilinear, nonstaggered grid is reviewed, and the most accurate and isotropic schemes are identified. Frequency-dependent boundaries are modeled using a digital impedance filter formulation that is consistent with locally reacting surface theory. A structurally stable and efficient boundary formulation is constructed by carefully combining the boundary condition with the interpolated scheme. An analytic prediction formula for the effective numerical reflectance is given, and a stability proof provided. The results indicate that the identified accurate and isotropic schemes are also very accurate in terms of numerical boundary reflectance, and outperform directly related methods such as Yee's scheme and the standard digital waveguide mesh. In addition, one particular scheme-referred to here as the interpolated wideband scheme-is suggested as the best scheme for most applications.
Original languageEnglish
Article number4967978
Pages (from-to)78-89
Number of pages12
JournalIEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING
Volume18
Issue number1
DOIs
Publication statusPublished - Jan 2010

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Fingerprint

Dive into the research topics of 'Wideband and Isotropic Room Acoustics Simulation Using 2-D Interpolated FDTD Schemes'. Together they form a unique fingerprint.

Cite this