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A Statistical Theory on the General Random Noise of Arbitrary Distribution Type with Quantitized Level and Its Actual Application

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Nowadays, the arbitrarily fluctuating random data of environmental noise and vibration systems are used so as to be observed in the form of quantitized levels at discrete time intervals. In this paper, we have firstly derived a new unified statistical treatment of environmental random noise based on the theoretical expression of the probability distribution function suitable to an estimation of the level distribution form with quantitized levels, for an arbitrary random noise and vibration.

Next, we have experimentally confirmed the validity of our theory not only by means of digital simulation, but also by the environmental noise data observed experimentally in Hiroshima City.


In der Regel werden heute beliebig schwankende Zufallsdaten von Umgebungsgeräuschen oder Schwingungssystemen in Form quantisierter Pegel in diskreten Zeitintervallen betrachtet. In der vorliegenden Arbeit wird für beliebige Rausch- und Schwingungsvorgänge zunächst eine neue, einheitliche, statistische Behandlung abgeleitet. Sie basiert auf einem theoretischen Ausdruck für die Verteilungsfunktion, der zur Abschätzung der Form der Pegelverteilung aus den quantisierten Pegelwerten geeignet ist. Die Gültigkeit der Theorie wird dann sowohl durch die Ergebnisse von Simulationen auf einem Digitalrechner als auch durch Umgebungsgeräuschmessungen in Hiroshima experimentell bestätigt.


L'étude proposée part du fait qu'il est courant actuellement d'enregistrer les données concernant les bruits et vibrations dus à l'environnement et considérés comme fluctuant d'une manière arbitraire sous forme de séries quantifiées en niveau et dans le temps. On établit d'abord un mode de traitement unifié statistique pour tous les bruits aléatoires environnementaux en se fondant sur une expression théorique convenable de la fonction de distribution probabiliste et on en tire une estimation de la forme de la distribution des niveaux à valeurs quantifiées.

Ensuite on présente des confirmations expérimentales de cette théorie, les unes obtenues au moyen d'une simulation numérique, les autres déduites des enregistrements effectivement recueillis dans la ville d'Hiroshima.
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Document Type: Research Article

Publication date: October 1, 1980

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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