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Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh

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2 Author(s)
Zhixin Chen ; Montana State Univ., Bozeman ; Maher, R.

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.

Published in:

Signal Processing Letters, IEEE  (Volume:15 )