A general approach to block-based physical modeling with mixed modeling strategies for digital sound synthesis

Block-based physical modeling algorithms for sound synthesis have gained more and more interest in the past few years. They have the advantage that new models can be created by combining existing blocks and they offer the opportunity to combine different modeling techniques. We propose a general approach to creating physical models in blocks and how to connect these blocks assuring their correct physical interaction. Furthermore, we show how to implement the interconnection of these models with wave digital filter principles. The complete procedure is applied to the example application scenario of the one-dimensional wave equation. Three different modeling techniques are used. One part is implemented with a finite difference time domain approach, one with the functional transformation method, and the boundaries are implemented by wave digital filters.