A new universal probability expression with discrete levels is theoretically found as the basis of the probabilistic evaluation for sound transmission. This expression can be derived in the several expansion forms with mathematical difference operations, and so, is suitable to treat directly the actually observed digital data in the numerical form. As its application, a new method of the probability evaluation is proposed for double-wall and single-wall, sound insulating systems. In this case, the probability distribution function of the output fluctuation can be predicted with the evaluation of energy transmission coefficients by use of the improved S. E. A. (Statistical Energy Analysis) method for each sound insulating system. Our new probabilistic estimation of the output fluctuation will be affected by the statistical character of the input, and the proper sound transmission characteristic {a_i} of the system. This general probability expression is given in a statistical expansion form taking the well-known binomial distribution as the first term. Agreement between theory and experimentation is effectively confirmed for these cases.
抄録全体を表示