Abstract
In the actual situation of measuring the sound environmental systems, it is very often that only the resultant response fluctuation contaminated by the additional noise of arbitrary distribution type can be observed. Furthermore, the observed data is usually given in a sound level form on a dB scale based on the logarithmic type non-linear transformation of sound pressure. Therefore, for the purpose of estimating only the undisturbed objective output response, it is necessary to introduce some skillful estimation method for reasonably removing the effect of the above additional noise. In this paper, first, a mathematical model of arbitrary sound environmental systems is introduced in a simplified form of linear system on an intensity scale, by employing the well-known principle property of energy quantities. Next, some practical estimation method of only the objective output response under the existence of background noise is derived without introducing in advance any artificial error criterion like the well-known least-squares method. Then, based on the expression of the above estimation method, a new prediction method of the output response probability function form for arbitrary sound environmental systems without a background noise is proposed by use of observed data contaminated by a background noise. Finally, the effectiveness of the proposed practical method is partly confirmed experimentally too by applying it to the actual sound insulation system.
