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Das Frequenzspektrum des Doppler-Effektes

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This paper deals with the continuous spectrum of a sound which is created by the Doppler effect following the uniform movement of an harmonically vibrating source relative to the observer. Assuming that the magnitude of the relative velocity between the source and the observer is smaller than the sound velocity the desired analysis is represented in closed form by cylindrical functions of various kinds. However, when the above-mentioned velocity surpasses the velocity of sound, the evaluation of the spectrum function requires the use of an electronic computer. This work will be given in a coming paper.


Die vorliegende Arbeit beschäftigt sich mit dem kontinuierlichen Spektrum eines Klanges, der als Folge des Doppler-Effektes aus der gleichförmigen Bewegung einer einfach harmonisch schwingenden Schallquelle relativ zum Beobachter hervorgeht. Im Bereiche der Relativgeschwindigkeiten, welche unterhalb der Schallgeschwindigkeit liegen, wird jenes Spektrum mittels Zylinderfunktionen verschiedener Arten geschlossen dargestellt. Im Falle relativer Überschallgeschwindigkeiten hingegen verlangt die zahlenmäßige Auswertung der je maßgeblichen Integrale den Einsatz elektronischer Computer, der in einer späteren Arbeit wiedergegeben werden soll.


On étudie le spectre continu du son résultant de l'effet Doppler dans le cas d'une source simple vibrant harmoniquement et animée d'un mouvement uniforme par rapport à l'observateur. Dans le domaine des vitesses inférieures à la célérité du son, ce spectre s'exprime en termes finis au moyen de fonctions de Bessel de diverses espèces. Dans le cas des vitesses supersoniques, le calcul numérique du spectre Doppler exige l'emploi d'un ordinateur et fera l'objet d'un article ultérieur.
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Document Type: Research Article

Publication date: February 1, 1982

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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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