A String in a Room: Mixed-Dimensional Transfer Function Models for Sound Synthesis
Physical accuracy of virtual acoustics receives increasing attention
due to renewed interest in virtual and augmented reality applications. So far, the modeling of vibrating objects as point sources
is a common simpliﬁcation which neglects effects caused by their
spatial extent. In this contribution, we propose a technique for the
interconnection of a distributed source to a room model, based on
a modal representation of source and room. In particular, we derive a connection matrix that describes the coupling between the
modes of the source and the room modes in an analytical form.
Therefore, we consider the example of a string that is oscillating
in a room. Both, room and string rely on well established physical descriptions that are modeled in terms of transfer functions.
The derived connection of string and room deﬁnes the coupling
between the characteristic string and room modes. The proposed
structure is analyzed by numerical evaluations and sound examples
on the supplementary website.