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Sharpness Analysis

Sharpness is a psychoacoustic attribute that describes the proportion of high-frequency energy in a sound. Sounds dominated by high-frequency content are perceived as sharp, piercing, or bright, while those dominated by low-frequency content are perceived as dull or dark. Sharpness is a key contributor to annoyance and sound quality in consumer products, vehicles, and HVAC systems.

Standard

StandardMethodYear
DIN 45692Measurement technique for the simulation of the auditory sensation of sharpness2009

DIN 45692 defines the calculation procedure based on the specific loudness spectrum. It supersedes earlier proposals by Bismarck (1974) and Aures (1985) by specifying a standardized weighting function and normalization.

Theory

Relationship to Loudness

Sharpness is derived from the specific loudness spectrum N'(z) computed according to ISO 532-1 or DIN 45631. The specific loudness values are weighted by a function g(z) that emphasizes contributions above approximately 15.8 Bark (corresponding to roughly 3 kHz).

Weighting Function

The weighting function g(z) is defined as:

g(z) = 1   for z ≤ 15.8 Bark
g(z) = 0.066 · e0.171 z   for z > 15.8 Bark
Sharpness Weighting Function g(z) g(z) Weight Critical-Band Rate z (Bark) 0 4 8 12 15.8 20 24 0 1 2 3 4 15.8 Bark High-frequency emphasis region

Sharpness Calculation

Total sharpness is obtained by computing the weighted first moment of the specific loudness distribution, normalized by total loudness:

S = k · ∫024 Bark N'(z) · g(z) · z · dz  /  N   [acum]

The constant k = 0.11 is chosen so that a narrow-band noise centered at 1 kHz with a level of 60 dB and a bandwidth of one critical band yields exactly 1 acum.

Parameters

ParameterOptionsDescription
Loudness StandardISO 532-1 / DIN 45631/A1Underlying loudness model for specific loudness computation
Field TypeFree field / Diffuse fieldEar transfer function applied in the loudness calculation
Weighting FunctionDIN 45692 (default) / Aures / BismarckHigh-frequency weighting variant
Signal TypeStationary / Time-varyingDetermines whether running analysis is performed

Output Quantities

QuantityUnitDescription
SacumOverall sharpness value
S(t)acumSharpness vs Time trace for time-varying signals

Sharpness vs Time

In time-varying mode, sharpness is computed at each time step using the instantaneous specific loudness spectrum. The resulting S(t) trace reveals how high-frequency content evolves over time, which is particularly useful for:

Interpretation Guidelines

Reference value: 1 acum is defined as the sharpness of a narrow-band noise one critical band wide, centered at 1 kHz, at a level of 60 dB.

Practical Application Notes

Standard References


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