A note on identifying a transmission factor in room acoustics

In this study, as a concrete example of the non-linear
inverse problem in indoor sound fields, a complex sound fluctuation leaked
through an aperture gap in the partition door of a coupled room under the actual
sound environment has been discussed. A probability evaluation theory
introducing a simple stochastic inverse system model has been proposed first
especially from an object-oriented viewpoint. More concretely, in order to
evaluate the output response probability distribution of the acoustic intensity
in the sound receiving room, after introducing time-averaged stochastic
variables, we have identified functionally the leakage property as some
variability of a transmission factor. Then, we have predicted the output
response probability distribution for a new arbitrary stochastic input once
after establishing a prediction theory for the probability distribution of a
multiplicative model. Finally, an effectiveness of the proposed theory has been
experimentally confirmed too by an application to actual indoor sound field
data.