- The Matlab script mesh2d.m
implements a 2D rectilinear digital waveguide mesh structure, allowing visualization of wave propagation over time in the structure. This same algorithm is also implemented for realtime synthesis in the
`Mesh2D`class of the Synthesis ToolKit in C++ (STK). - The rectilinear 2D (and 3D) grid is convenient because it can be implemented with relatively simple data structures (typically a double, alternating matrix scheme) and it is relatively easy to calculate the grid geometry for a given 2D or 3D space. Further, the 2D mesh can be implemented without multiplies in fixed-point arithmetic.
- Though not apparent in the simulation, the response of the rectilinear waveguide mesh aliases at a normalized temporal frequency of 0.25 (where 0.5 = 1/2 the digital sample rate).
- The 2D rectilinear grid can be easily extended to three dimensions. In this case, however, each grid junction has 6 ports and the resulting scattering equations are not multiply-free for fixed-point implementations.

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