A Proposal of Simplified Stochastic Inverse System Model Matched to Prediction of Response Fluctuation Probability in Room Acoustics

抄録

In this study, as a concrete example of simplified nonlinear inverse model in an indoor sound field, a complex sound fluctuation leaked through an aperture in the wall of coupled room under an actual sound environment has been discussed. First, a probability evaluation theory introducing a simple stochastic inverse system model has been proposed especially from an object-oriented viewpoint. More concretely, in order to evaluate the output response probability distribution of the acoustic intensity, after introducing the time-averaged stochastic variable, we have identified functionally the leakage property for any variability of the 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 an actual complex indoor sound field.