A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise
Since the non-stationary fluctuation of actual acoustic environment like the road traffic noise within a long time interval is usually caused not by the change of merely additional external noise but by the essential change of internal factors themselves, it is reasonable to give as a mathematical m...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-05-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/904 |
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| author | M. OHTA Y. FUJITA |
| author_facet | M. OHTA Y. FUJITA |
| author_sort | M. OHTA |
| collection | DOAJ |
| description | Since the non-stationary fluctuation of actual acoustic environment like the road traffic noise within a long time interval is usually caused not by the change of merely additional external noise but by the essential change of internal factors themselves, it is reasonable to give as a mathematical model of this non-stationary fluctuation not an additive model but a multiplicative model. In this paper, mainly from a methodological viewpoint, first, the characteristic function method of Mellin transform type for the above multiplicative model is introduced and a new unified expression form of the probability density function within a long time interval is derived in an expansion form based on the probability density function within a short time interval of local stationary type as its first expansion term with distribution parameters reflecting hierarchically various types linear and nonlinear correlation information. |
| format | Article |
| id | doaj-art-fd73f180369e4082bff7f63f984bb66d |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-05-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-fd73f180369e4082bff7f63f984bb66d2025-08-20T02:39:22ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-05-01232A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noiseM. OHTA0Y. FUJITA1Department of Electronic Engineering and Computer Science, Faculty of Engineering, Kinki UniversityDepartment of Management and Information Science, Onomichi Junior CollegeSince the non-stationary fluctuation of actual acoustic environment like the road traffic noise within a long time interval is usually caused not by the change of merely additional external noise but by the essential change of internal factors themselves, it is reasonable to give as a mathematical model of this non-stationary fluctuation not an additive model but a multiplicative model. In this paper, mainly from a methodological viewpoint, first, the characteristic function method of Mellin transform type for the above multiplicative model is introduced and a new unified expression form of the probability density function within a long time interval is derived in an expansion form based on the probability density function within a short time interval of local stationary type as its first expansion term with distribution parameters reflecting hierarchically various types linear and nonlinear correlation information.https://acoustics.ippt.pan.pl/index.php/aa/article/view/904 |
| spellingShingle | M. OHTA Y. FUJITA A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise Archives of Acoustics |
| title | A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise |
| title_full | A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise |
| title_fullStr | A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise |
| title_full_unstemmed | A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise |
| title_short | A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise |
| title_sort | trial of evaluation based on multiplicative multivariate model for non stationary road traffic noise |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/904 |
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