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Speclore

分贝

关于分贝的参考数据和工程信息,用于声学应用。

decibel

概述

分贝加权滤波器调整声压测量以匹配人类听觉感知, which is most sensitive in the 1–4 kHz range. The A-weighted filter (dB(A)) is the most common standard for environmental and occupational noise assessment. B and C weighting filters are less frequently used today but provide alternatives for different sound pressure levels and frequencies.

关键公式

Logarithmic Combination of Sound Levels

Ltotal=10log10(10L1/10+10L2/10)L_{total} = 10 \cdot \log_{10}\left(10^{L_1/10} + 10^{L_2/10}\right)

对数组合两个分贝级的公式。同一原理扩展到多个e sources.

Sound Intensity Level

L=10log10(I/I0)L = 10 \log_{10}(I/I_0)

其中 I0I_0 为参考声强(通常为 101210^{-12} W/m²)。

变量

符号说明单位
LtotalL_{total}Combined sound leveldB
L1,L2L_1, L_2Individual sound levelsdB
LLSound intensity leveldB
IISound intensityW/m²
I0I_0Reference intensityW/m²

Decibel Filter Weighting

声级计应用频率相关的加权滤波器以近似人类听觉响应ponse. The dB(A) filter approximates the 40-phon equal-loudness contour. dB(C) is nearly linear for high sound pressure levels, while dB(B) falls between them and is rarely used in modern practice. The abbreviation "dB(A)" is common engineering shorthand, though SI recommends phrasing like "the A-weighted sound pressure level is x dB."

Frequency Response Data

3
(dB)
(dB)
(dB)
(dB)
(dB)
(dB)
(dB)
(dB)
-39.4-26.2-16.1-8.6-3.201.21
-17-9-4-1000-1
-3-0.8-0.2000-0.2-0.8

来源: engineeringtoolbox.com

Frequency Response of A, B, and C 重量ing Filters

Example: A-Weighted Level Calculation

To find the total dB(A) from octave band measurements, apply the filter correction to each band, then combine logarithmically. Below is a sample calculation:

8
示例 octave band measurement and calculation of A-weighted sound pressure level.
(Hz)
(dB)
(dB)
结果ing dB(A) (dB)
62.5542628
125601644
25064955
50053449
100048048
200043-144
400039-140
800032131

来源: engineeringtoolbox.com

Comparison of Measured vs. A-重量ed 声音 Levels

To combine the resulting levels logarithmically, pair the highest values and use the combination formula repeatedly. Starting with the two highest bands (250 Hz and 500 Hz):

  1. Difference: 55 - 49 = 6 dB → Add 1 dB to the higher value: 55 + 1 = 56 dB(A)
  2. Add next highest (1000 Hz): Difference: 56 - 48 = 8 dB → Add 0.5 dB: 56 + 0.5 = 56.5 dB(A)
  3. Remaining levels are significantly lower. The total estimated level is ~56.5 dB(A).

A, B and C Weighted Sound Level Calculator

The original page includes spreadsheet-style dB(A), dB(B) and dB(C) calculations. Enter octave-band sound pressure levels below; the calculator applies the weighting corrections and combines the bands logarithmically.

dB(A) Level Adjustment Guidelines

A baseline criterion of 40 dB(A) is commonly adjusted for time, location, and sound character.

8
典型 adjustments in dB added to baseline sound level criteria for various contexts.
(dB)
Time of DayEvening-5
Time of DayNighttime-10
Sound CharacterTones or impulsive noise readily detectable-5
Sound CharacterTones or impulsive noise just detectable-2
LocationRural or quiet suburban0
LocationSuburban, infrequent traffic5
LocationSuburban, medium traffic10
LocationDense traffic or commercial/industrial15

来源: engineeringtoolbox.com

还原的原始源表

以下表格还原自原始来源页面,以保留完整的参考数据。

Decibel A, B and C

4
Decibel A, B and C
31.2562.51252505001000200040008000
-39.4-26.2-16.1-8.6-3.201.21-1.1
-17-9-4-1000-1-3
-3-0.8-0.2000-0.2-0.8-3

来源: engineeringtoolbox.com

Decibel A Filter

4
1
2
3
4
5
6
7
8
Center Frequency (Hz)62.51252505001000200040008000
Measured Sound Pressure Level (dB)5460645348433932
db(A) Filter (dB)2616940-1-11
Resulting Sound Pressure Level dB(A) (dB)2844554948444031

Decibel A - Adjustments to Context

11
Decibel A - Adjustments to Context
Character of soundTones or impulsive noise readily detectable-5
Tones or impulsive noise just detectable-2
Time of dayEvening-5
Night time-10
NeighborhoodRural and outer suburban areas with little traffic0
Suburban areas with infrequent traffic5
Suburban areas with medium density traffic10
Suburban areas with some commerce or industry10
Areas with dense traffic and/or commerce or industry15
City or commercial areas with very dense traffic and/or bordering industrial areas20
Industrial areas and/or extremely dense traffic25

来源: engineeringtoolbox.com

工程要点

  • The A-weighting filter underestimates low-frequency noise, which can be significant for complaints about HVAC systems, transformers, or traffic rumble.
  • C-weighting is often used for peak sound pressure measurements or where low-frequency content is important, such as assessing blast or impact noise.
  • When combining levels logarithmically, adding a sound source that is 10 dB lower than the existing level contributes only 0.4 dB to the total—sources 10+ dB below the dominant level are often negligible.
  • Regulatory limits typically use dB(A) for environmental noise, but specific applications (e.g., military, industrial) may use other metrics like dB(C) or unweighted dB.
  • The SI unit for sound level is the decibel (dB), but it is dimensionless. Always specify the weighting filter (A, B, or C) when reporting.

参考资料

Original Source: engineeringtoolbox.com