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Reverberation time analysis for nonrectangular rooms using the Monte Carlo method

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Reverberation time (RT) of a nonrectangular room involves its mean free path (MFP). Statistics of sound ray consecutive collisions of the enveloping room surfaces solve the MFP value. The classical… Click to show full abstract

Reverberation time (RT) of a nonrectangular room involves its mean free path (MFP). Statistics of sound ray consecutive collisions of the enveloping room surfaces solve the MFP value. The classical halls RT formulae are based on physical models and assumptions, including discrepancies. Thus, we use here the Monte Carlo Method (MCM) to calculate MFP and the probabilities of sound rays colliding with their surrounding surfaces and their RT. The method presented here includes statistical analysis, sensitivity to changes of different parameters, validation and interpretation. It calculates averages of a series of lengths of individual paths for each ray emanating from a sound source and its direction cosines, chosen at random from a uniform distribution and considering range by means of pseudo random generator (PRG). The process recurs for a fixed number of rays and a computer run for an average of one block and its MFP. Each run involves an initial PRG seed. The analysis of a fixed number of paths of one ray...

Keywords: reverberation time; analysis; monte carlo; carlo method

Journal Title: Journal of the Acoustical Society of America
Year Published: 2017

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