Theory and Design of Audio Rooms: A Statistical View


Authors : Dr. Ismail Abbas

Volume/Issue : Volume 8 - 2023, Issue 7 - July

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/59v5ackp

DOI : https://doi.org/10.5281/zenodo.8210526

Abstract : In this paper, the numerical solution of the statistical chains of matrix B is successfully used to calculate the sound intensity field in audio rooms. Here we use B-chain techniques as a real breakthrough with the time-dependent sound field problem in 3D geometric space. We offer the appropriate design of audio rooms via an example of a cuboid pieces. We also show that B-chain techniques can produce rigorous statistical proof of Sabines' imperial formula for reverberation time in audio rooms. In addition, the definition of so-called statistical weights of geometric shapes is introduced and found to be effective in solving double and triple integration as well as sound diffusion transfer equation in audio rooms.

In this paper, the numerical solution of the statistical chains of matrix B is successfully used to calculate the sound intensity field in audio rooms. Here we use B-chain techniques as a real breakthrough with the time-dependent sound field problem in 3D geometric space. We offer the appropriate design of audio rooms via an example of a cuboid pieces. We also show that B-chain techniques can produce rigorous statistical proof of Sabines' imperial formula for reverberation time in audio rooms. In addition, the definition of so-called statistical weights of geometric shapes is introduced and found to be effective in solving double and triple integration as well as sound diffusion transfer equation in audio rooms.

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