Time-domain synthesis of conical bore instrument sounds

Digital Waveguide Synthesis

A discrete, time-domain approach to modeling acoustic systems.

Ideal lossless, linear traveling-wave propagation implemented using digital delay lines.

**Figure 1:** Digital waveguide implementation of plane-wave propagation in a cylindrical tube, neglecting viscothermal losses.
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Linear losses can be commuted and implemented at discrete locations.

Digital filtering techniques allow:

Fractional delays
Lumped and/or distributed model components
Filter design from parametric continuous-time expressions (s-plane to z-plane mapping)
Filter design from general frequency-domain characteristics or measurements