A MATHEMATICAL MODEL OF REVERBERATION IN A ROOM BASED ON MARKOV CHAIN TAKING INTO CONSIDERATION DIFFUSION OF THE SOUND FIELD

• HANYU Toshiki

  Prof., Dept. of Architecture and Living Design, Junior College Nihon University, Dr.Eng.

Bibliographic Information

Other Title

• マルコフ連鎖に基づく拡散を考慮した室内残響の数理モデル
• マルコフ レンサ ニ モトズク カクサン オ コウリョ シタ シツナイ ザンキョウ ノ スウリ モデル

Abstract

 The aim of this study is to develop a mathematical model of reverberation in a room on the basis of a Markov chain, taking into consideration the diffusion of the sound field. In this study, first, the Markov chain model was examined; it was shown that the mean scatter time (MST) and the scatter-to-absorption ratio (SAR), as evaluation indices of sound field diffusion, could be derived from the model. It was also shown that reverberation energy decay divided into specular and scattered components, which were calculated by this model. Finally, using geometrical computer simulation, it was confirmed that the proposed mathematical model was appropriate.

Journal

• Journal of Environmental Engineering (Transactions of AIJ)

  Journal of Environmental Engineering (Transactions of AIJ) 81 (720), 141-151, 2016

  Architectural Institute of Japan

Keywords

• Markov chain
• Sound field diffusion
• Scattering coefficient
• Scatter-to-absorption ratio
• Mean scatter time
• Reverberation theory

Details

• CRID: 1390001205201640064
• NII Article ID: 130005128547
• NII Book ID: AA11830377
• DOI: 10.3130/aije.81.141
• ISSN: 1881817X
• ISSN: 13480685
• NDL BIB ID: 027100245
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I027100245
• Web Site: https://www.jstage.jst.go.jp/article/aije/81/720/81_141/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed