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Overall Level (OA)

The Overall Level represents the total RMS energy of a signal integrated across a specified frequency bandwidth. It condenses an entire spectrum into a single scalar value, making it the most widely used indicator for noise and vibration severity assessment.

Theory

The broadband overall level is computed by summing the power spectral density across the analysis bandwidth and taking the square root:

OA = √( ∫f1f2 Sxx(f) df )

In discrete form, this becomes a summation over FFT spectral lines weighted by the frequency resolution Δf. When frequency weighting is applied, each spectral line is multiplied by the corresponding filter transfer function magnitude squared before summation.

Frequency Weighting

Three standard weighting curves are available, defined in IEC 61672-1:

WeightingCharacteristicTypical Use
A-weighting (dBA)Approximates human ear sensitivity; attenuates low and very high frequenciesEnvironmental noise, occupational exposure, NVH
C-weighting (dBC)Nearly flat from 31.5 Hz to 8 kHz; mild rolloff at extremesPeak sound pressure, low-frequency noise assessment
Z-weighting (dBZ)Flat (no weighting) across the full bandwidthVibration, structural diagnostics, machine monitoring
A-Weighting Frequency Response Curve Relative Level (dB) Frequency (Hz) +10 0 -10 -20 -30 -40 20 50 100 200 500 1k 2k 5k 10k 20k -30 dB at low freq 0 dB at 1-4 kHz rolloff

dB Reference Values

The level in decibels depends on the physical quantity being measured. Different reference values are used for different domains:

L = 20 · log10(OA / ref)
DomainReference ValueUnit
Sound Pressure20 μPa (2 × 10−5 Pa)dB SPL
Vibration Acceleration1 μm/s² (1 × 10−6 m/s²)dB re 1 μm/s²
Vibration Velocity1 nm/s (1 × 10−9 m/s)dB re 1 nm/s
Mixing up reference values between sound pressure and vibration will produce an offset of approximately 34 dB. Always verify the dB reference before comparing results across instruments.

Parameters

ParameterOptionsDescription
Lower Frequency (f1)0 Hz – fs/2Lower bound of the integration bandwidth.
Upper Frequency (f2)f1 – fs/2Upper bound of the integration bandwidth.
Frequency WeightingA, C, ZWeighting filter applied before integration.
Spectrum Size256 – 65536FFT block size, determines frequency resolution.
WindowHanning, Hamming, Flat Top, etc.Time-domain window function.
AveragingLinear, ExponentialSpectral averaging mode before level computation.

Variants

Overall Level vs Time

Computes the OA for each successive time block, producing a time history of the broadband level. Useful for monitoring transient events, run-up/coast-down tests, and level stability checks.

Overall Level vs RPM

When a tachometer signal is available, the OA is plotted against rotational speed. This reveals speed-dependent resonances and critical speeds. The RPM axis is derived from the tacho signal using zero-crossing or pulse-counting methods.

Practical Tips

The Overall Level computed from a spectrum may differ slightly from a direct time-domain RMS calculation due to windowing effects and the Equivalent Noise Bandwidth (ENBW) correction. V-Listen applies the ENBW correction automatically for all supported window types.

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