Title :
Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh
Author :
Chen, Zhixin ; Maher, Robert C.
Author_Institution :
Montana State Univ., Bozeman
fDate :
6/30/1905 12:00:00 AM
Abstract :
The digital waveguide mesh models multidimensional wave propagation in discrete space and time. The finite difference wave equation used in the mesh is expressed in the space-time domain, which is not straightforward to reveal the analytical expression for the impulse response between a source and a receiver. This letter describes a procedure to derive an analytical impulse response expression between two nodes in a 2-D rectangular digital waveguide mesh based on the wave equation. The analytical expression can provide helpful insights and help verify simulation results for the digital waveguide mesh.
Keywords :
finite difference methods; radiowave propagation; rectangular waveguides; transient response; waveguide theory; 2D rectangular digital waveguide mesh; impulse response; multidimensional wave propagation; Acoustic propagation; Acoustic waveguides; Acoustic waves; Analytical models; Finite difference methods; Frequency; Partial differential equations; Propagation delay; Rectangular waveguides; Topology; Acoustic propagation; digital waveguide mesh; impulse response expression; multidimensional signal processing; room acoustics modeling;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2007.916043
