The Wave Digital Piano Hammer

In this section, we use a model of the piano hammer to introduce wave digital filtering techniques. This approach to modeling the piano hammer was developed by Scott Van Duyne, John Pierce, and Julius Smith and reported in ``Traveling wave implementation of a lossless mode-coupling filter and the wave digital hammer,'' Proceedings of the International Computer Music Conference, Århus, Denmark, 1994.

The Hammer Model

Traveling-Wave Decomposition of the Lumped System

The Scattering Junction Connection

Making the Felt Nonlinear

The Lossless Digital Model

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