Mittelungspegel

Der Mittelungspegel L_m, auch energieäquivalenten Dauerschallpegel L_eq, ist eine Berechnungs- und Messgröße in der Akustik. Der Mittelungspegel gibt den konstanten Schallpegel wieder, welcher über die Messsauer die gleiche Schallenergie aufweist, wie das gemessene Ereignis.

Ist der Mittelungspegel an einem festgelegten Immissionsort bekannt, so kann daraus auch ein Beurteilungspegel durch die Addition bewertender Zuschläge, z. B. von Lästigkeitszuschlag oder nach Tonhaltigkeit bestimmt werden.

Werden mehrere Mittelungspegel schallenergetisch addiert, so erhält man den Gesamtpegel (auch resultierenden Pegel).

Berechnung

Mit folgender Formel kann das Mittel eines Pegels über einen gewissen Beurteilungszeitraum oder für eine bestimmte Anzahl von Pegeln gebildet werden:

{\begin{aligned}L_{m}&=10\cdot \lg \left({\frac {1}{T}}\cdot \int \limits _{0}^{T}10^{0,1\cdot L(t)}dt\right)\quad {\mbox{oder}}\\L_{m}&=10\cdot \lg \left({\frac {1}{N}}\cdot \sum \limits _{i=1}^{N}10^{0,1\cdot L_{i}}\right)\end{aligned}}

mit

betrachtetes Zeitintervall (Beurteilungszeitraum) T
Schallpegel L(t) in Abhängigkeit von der Zeit t
Anzahl N der gemessenen Schallpegel $L_{i}$ (mit 1 $\leq$ i $\leq$ N).

Normen und Standards

DIN 45641 – Mittelung von Schallpegeln

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