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A trial of evaluation based on multiplicative multivariate model for non-stationary road traffic noise

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Treść / Zawartość
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Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Rocznik
Strony
179--194
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
Twórcy
autor
  • Department of Electronic Engineering and Computer Science Faculty of Engineering, Kinki University, Japan
autor
  • Department of Management and Information Science, Onomichi Junior College, Onomichi, Japan
Bibliografia
  • [1] A. Iketani, Mathematical model and evaluation indexes for road traffic noise [in Japanese], Acoust. Soc. Jpn ., 31, 9, 559-565 (1975).
  • [2] M. Ohta et al., A prediction theory of sound level probability distribution in urban district for assessment of establishment of new road and experiment by simulation [in Japanese], Acoust. Soc. Jpn., 31, 2, 72-80 (1975).
  • [3] S. Ishii, A study on the calculation method of predicting a road traffic noise [in Japanese], Acoust. Soc. Jpn ., 31, 8, 507-5 17 (1975).
  • [4] M. Ohta, A consideration for modelling of non-stationary stochastic phenomena [in Japanese], Systems and Control, 16, 5, 423-426 (1972).
  • [5] T. Kariya, Knowledge for prediction, Morikita, Tokyo 1971.
  • [6] A. Papoulis, Probability, random variables and stochastic processes, McG raw-Hill Kogakusha, Tokyo 1965.
  • [7] E.C. T itchmarsh, Introduction to the theory of Fourier integrals, Oxford 1937.
  • [8] G.A . Campbell and R.M. Foster, Fourier integrals for practical applications, Van Nostrand 1948.
  • [9] S. Moriguchi, K . Udagawa, S. Hitotum atu, Formula of mathematics II [in Japanese], pp. 307-310, Iwanami 1960.
  • [10] K. Yoshida, A. Amamiya, K. Ito , T. Kato, K. Matushima and S. Furuya, Handbook of applied mathematics [in Japanese], pp. 322-323, Maruzen 1969.
  • [11] Japanese Industrial Standard Committee, JIS Z 8731-Methods of measurement and description of A-weighted sound pressure level [in Japanese], Japanese Standard Association, Tokyo 1983.
  • [12] H. Hironaka, Encyclopedia of mathematical sciences [in Japanese], pp. 484, Maruzen 1991.
  • [13] G.E .P . Box and G.M. Jenkins, Some recent advances in forecasting and control, App lied Statis¬tics, 17, 99-109 (1968).
  • [14] M.B. Priestley, Evolutionary spectra and non-stationary processes, J.R . Statistical Society, B, 27, 204-237 (1965).
  • [15] A.C . Harvey, Tim e series models, Philip Allan Publishers limited, Oxford 1981.
  • [16] M. Ohta and T. Koizumi, General statistical treatment of response of a nonlinear rectifying device to a stationary random input, IEEE Trans, on information theory, vol. IT-14, 4, 595-598 (1968).
  • [17] M. Ohta, On the composition of waves in the random phase problem, Proc, of 5th Japan National Congreess for Appl. Meeh., pp. 489-492, 1958.
  • [18] M. Ohta, A viewpoint in the analysis of non-stationary phenomena [in Japanese], System and Control, 16, 5, 423-426 (1972).
  • [19] M. Ohta, A fundamental viewpoint in the analysis problem of stochastic control system-effectiveness of statistical series expansion method [in Japanese], Tians. IECE , 55-D, 8, 562-563 (1972).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0007-0108
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