Source excitation strategies for obtaining impulse responses in finite difference time domain room acoustics simulation

Abstract This paper considers source excitation strategies in finite difference time domain room acoustics simulations for auralization purposes. We demonstrate that FDTD simulations can be conducted to obtain impulse responses based on unit impulse excitation, this being the shortest, simplest and most efficiently implemented signal that might be applied. Single, rather than double, precision accuracy simulations might be implemented where memory use is critical but the consequence is a remarkably increased noise floor. Hard source excitation introduces a discontinuity in the simulated acoustic field resulting in a shift of resonant modes from expected values. Additive sources do not introduce such discontinuities, but instead result in a broadband offset across the frequency spectrum. Transparent sources address both of these issues and with unit impulse excitation the calculation of the compensation filters required to implement transparency is also simplified. However, both transparent and additive source excitation demonstrate solution growth problems for a bounded space. Any of these approaches might be used if the consequences are understood and compensated for, however, for room acoustics simulation the hard source is the least favorable due to the fundamental changes it imparts on the underlying geometry. These methods are further tested through the implementation of a directional sound source based on multiple omnidirectional point sources.

[1]  Damian Murphy,et al.  Low Complexity Directional Sound Sources for Finite Difference Time Domain Room Acoustic Models , 2009 .

[2]  Vesa Välimäki,et al.  Reducing the dispersion error in the digital waveguide mesh using interpolation and frequency-warping techniques , 2000, IEEE Trans. Speech Audio Process..

[3]  Lauri Savioja,et al.  REAL-TIME 3D FINITE-DIFFERENCE TIME-DOMAIN SIMULATION OF LOW- AND MID-FREQUENCY ROOM ACOUSTICS , 2010 .

[4]  Julius O. Smith,et al.  Physical Modeling with the 2-D Digital Waveguide Mesh , 1993, ICMC.

[5]  Robert Nyden Hill,et al.  Acoustic eigenfrequencies of cavities with an internal obstacle: A modified perturbation theory , 1989 .

[6]  Lauri Savioja,et al.  Integrating finite difference schemes for scalar and vector wave equations , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[7]  N. Jacobi,et al.  Resonance frequency shift of an acoustic chamber containing a rigid sphere , 1981 .

[8]  Ahmet M. Kondoz,et al.  Time-Domain Simulation of Directive Sources in 3-D Digital Waveguide Mesh-Based Acoustical Models , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[9]  Maarten van Walstijn,et al.  Modeling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD and K-DWM Room Acoustics Simulations , 2008 .

[10]  Maarten van Walstijn,et al.  Room Acoustics Simulation Using 3-D Compact Explicit FDTD Schemes , 2011, IEEE Transactions on Audio, Speech, and Language Processing.

[11]  Hyok Jeong,et al.  Source implementation to eliminate low-frequency artifacts in finite difference time domain room acoustic simulation. , 2012, The Journal of the Acoustical Society of America.

[12]  Stefan Bilbao,et al.  BINAURAL SIMULATIONS USING AUDIO RATE FDTD SCHEMES AND CUDA , 2012 .

[13]  Bruno Fazenda,et al.  Physical and numerical constraints in source modeling for finite difference simulation of room acoustics. , 2014, The Journal of the Acoustical Society of America.

[14]  Maarten van Walstijn,et al.  A Phase Grating Approach to Modeling Surface Diffusion in FDTD Room Acoustics Simulations , 2011, IEEE Transactions on Audio, Speech, and Language Processing.

[15]  Robert C. Maher,et al.  Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh , 2008, IEEE Signal Processing Letters.

[16]  Bruno Fazenda,et al.  A PHYSICALLY-CONSTRAINED SOURCE MODEL FOR FDTD ACOUSTIC SIMULATION , 2012 .

[17]  Basilio Pueo,et al.  Directive sources in acoustic discrete-time domain simulations based on directivity diagrams. , 2007, The Journal of the Acoustical Society of America.

[18]  José Escolano,et al.  Parallelization of the finite-difference time-domain method for room acoustics modelling based on CUDA , 2013, Math. Comput. Model..

[19]  Matti Karjalainen,et al.  Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling , 2004, EURASIP J. Adv. Signal Process..

[20]  Paulo Dias,et al.  Finite Difference Room Acoustic Modelling on a General Purpose Graphics Processing Unit , 2010 .

[21]  D. Murphy,et al.  Acoustic Modeling Using the Digital Waveguide Mesh , 2007, IEEE Signal Processing Magazine.

[22]  John B. Schneider,et al.  Implementation of transparent sources embedded in acoustic finite-difference time-domain grids , 1998 .

[23]  D. Botteldooren Finite‐difference time‐domain simulation of low‐frequency room acoustic problems , 1995 .