Sound Insulation

3.4: Spatial Averaging

3.4 Spatial Averaging

Due to the spatial variation of sound pressure in a space, or vibration over a surface, we almost always need to measure temporal and spatial average levels.

The temporal and spatial average sound pressure level in a room is usually referred to as the average sound pressure level. Temporal and spatial average values for sound pressure and velocity levels don't tend to use different symbols; they simply use L P and L v respectively, and rely on accompanying text to make it clear.

For N individual measurement positions, where L eq ,n is measured at each position, the temporal and spatial average level is

(3.18)

For sound pressure, spatial averaging can also be carried out with a continuously moving microphone. In this case, L p is equal to the measured L eq.

The sample standard deviation, s dB, can be calculated using

(3.19)

Calculation of confidence intervals requires knowledge of the probability distribution for the variable of interest; this variable is usually the sound pressure level or the velocity level. Exact probability distributions will vary and are rarely known (Lyon, 1969). For mean-square pressure, a gamma distribution applies to the source room and a log-normal distribution can be assumed in the receiving room (Section 1.2.7.9). For mean-square velocity, it is also reasonable to assume a log-normal distribution (Section 2.7.6). Therefore, it can be assumed that the spatial variation of sound pressure levels and vibration levels in decibels is described by...

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