Toward a Real-Time Waveguide Mesh Implementation

This work presents an analytic solution to a 2-D waveguide mesh, made square with input and output at the center to produce a symmetry that reduces redundancy and increases computational savings. The result is a frequency-domain representation of the mesh, a parametric transfer function describing the ratio of output to input, symbolically computed to retain parameters. In this form, the mesh, known for being computationally prohibitive, can be further made to perform in real-time, with (symbolic) parameters allowing for interaction by the user. This work is motivated by a desire to explore real-time interactive/parametric percussion synthesis.