Higher order moments of free path length distribution

• Autores: Dragana Sumarac Pavlovic, Miomir Mijic
• Localización: Proceedings of the ISRA 2007 Seville, Vol. 3, 2008 (Oral Session Communications), ISBN 9788469082676
• Idioma: español
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• Resumen

  • Room geometrical properties have some influence on the acoustical response and they must be considered mutually on the two levels, macro level of global geometrical shape and micro level of geometrical structured of the interior surfaces [1]. That influence can be quantified by the variations of the reverberation time from the statistical expected values. Common way of quantifying the geometrical characteristics of a room is the mean value and relative variance of the free path length distribution (FPL). To test significance of these parameters as indicators of room acoustic response, 51 software models of various rooms were prepared. FPL distribution was calculated using ray-tracing analysis, and also their mean values and relative variance. Conclusion were made that these parameters have not enabled accurate distinctions among the differences found in the FPL distribution shapes and accordingly among the different acoustic responses. That is why two more parameters common in mathematical analyses of probability curves were introduced in this analysis: skewness (�the asymmetry coefficient�) ?1 and kurtosis (�the flatness coefficient�) ?2. Analyses have shown that the values of ?1 and ?2 make a better distinction among the rooms with different shapes and better prediction of reverberation time.