A practical determination of an optimal order of state probability distribution expression with hierarchical expansion form observed in the actual sound and vibration environments

Acoustical Science and Technology

Hitoshi Ogawa¹  Akira Ikuta⁴  Kazutatsu Hatakeyama²  Mitsuo Ohta³ 

[1] Hiroshima National College of Maritime Technology,4272-1,Higashino,Toyota-gun,Hiroshima,725-0200 Japan;Faculty of Engineering,Kinki University,1,Umenobe,Takaya,Higashi-Hiroshima,739-2116 Japan;Emeritus Professor of Hiroshima University,1106,1-7-10,Matoba,Minami-ku,Hiroshima,732-0824 Japan;Faculty of Human Life and Environmental Science,Hiroshima Prefectural Women’s University,1-1-71,Ujina-Higashi,Minami-ku Hiroshima,734-8558 Japan

关键词: State probability distribution;    Expansion series form;    Optimal order;    Sound environment;   

DOI  :  10.1250/ast.21.191

学科分类：声学和超声波

来源: Acoustical Society of Japan

【 摘 要 】

References(6)Cited-By(1)The probability distribution of state variables for the stochastic systems has been very often used so far in the generalized expression form of an infinite orthonormal series expansion.However, in the case of applying this expansion expression to actual random phenomena, it is impossible to employ infinite expansion terms and only the finite sampled level data are available to estimate the expansion coefficients.In this study, a new trial for determining the optimal order of expansion terms for the state probability distribution is proposed.Furthermore, a part of the effectiveness of the proposed method is experimentally confirmed by applying it to the actually observed data in the sound environment.

【 授权许可】

Unknown