D : Level Difference *under* Sound Insulation

See also • control of vibration at work regulations • action and limit values for hand arm and whole body vibration

The Noise at Work Directive 2003/10/EC defines the following limit and action values:

**Exposure Limit Values (LEX,8h)** = 87 dB(A) and LCpeak = 200 Pa respectively;

**Upper Exposure Action Values (LEX,8h)** = 85 dB(A) and LCpeak = 140 Pa respectively;

**Lower Exposure Action Values (LEX,8h)** = 80 dB(A) and LCpeak = 112 Pa respectively.

LCpeak the maximum value of the C-weighted, instantaneous sound pressure.

See the Daily Personal Noise Exposure (LEP,d) below

**LEX,8h** is the Leq (equivalent continuous sound level) corrected for the length of the working shift, in this case 8 hours

See also the IEC Definition of Level

**LEP,d** is calculated from the measured sound exposure the **exposure time** and a reference time of 8 h.

If the Leq is measured over 8 hours then Leq and LEP,d and LEX,8h would all be the same.

The European Directive recommends LEX,8h is adopted from 2006 onward.

See also Leq (equivalent continuous sound level)

**Damage Risk Criteria** recommended maximum noise levels for given exposure periods.

The term often refers to the attenuation of sound in a structure owing to the internal sound-dissipating properties of the structure or to the addition of sound-dissipative materials.

The action of frictional or dissipative forces on a dynamic system causing the system to lose energy and reduce the amplitude of movement.

Removal of echoes and reverberation by the use of sound absorbing material. See reverberation time

**Data Logging** on-going measurements, stored at regular intervals for downloading to a PC.

**Data Source** the identity and location of the data that are used in an analysis.

**Day Noise Indicator** Lday

**Day-evening-night Noise Indicator** Lden

**Day-night Noise Indicator** Lden

dBA • dBB • dBC • dBD • dB Flat • dB Linear and dBZ - frequency weighting filters

● Note 1 : the kind of level is indicated by use of a compound term such as sound power level or sound pressure level.

● Note 2 : the value of the reference quantity remains unchanged, whether the chosen quantity is Peak, the RMS, or otherwise.

● Note 3 : the base of the logarithm is indicated by use of a unit of level associated with that base.

**dBm dB(mW)** power relative to 1
milliwatt. No reference impedance is assumed, though 600 ohms is common in audio equipment.

dB SIL : Sound Intensity Level

dB SPL, dB(SPL), dBSPL and dBSPL in common use but not officially recognised

dB SWL : Sound Power Level

**dBu : dB (0.775 V RMS)** voltage ratio with a reference voltage of Vo = 0.7750 volt = 0 dBu, derived from a 600 ohms load dissipating 0 dBm (1 mW)

**dBV : dB (1 V RMS)** voltage ratio with a reference voltage of Vo = 1.00 volt = 0 dBV, regardless of impedance.

**dBW or decibel watt** is a unit for the measurement of the strength of a signal expressed in decibels relative to one watt. It is used because of its capability to express both very large and very small values of power in a short range of number, e.g. 1 watt = 0 dBW, 10 watts = 10 dBW, 100 watts = 20 dBW and 1,000,000 W = 60 dBW.

Power in dBW = 10 lg (Power in W)

**DC Coupling** the connection of a signal from one circuit to another in a manner that passes both AC and DC components, see also AC coupling.

● Note : the unit of decay rate is the decibel per second.

**Decibels are used extensively in acoustics** - so we have a more detailed description.

**Decibels** compress a wide range of amplitude values to a more manageable set of numbers.

● Note 1 : the decibel is more often used than the bel as a unit of level.

● Note 2 : the decibel can be defined as a unit of level of a power-like quantity when the base of the logarithm is the tenth root of ten. Also, the decibel is the unit of level of a field quantity when the base of the logarithm is the 20th root of ten.

Vibration Levels | Sound Levels | |||

Acceleration : La | Velocity : Lv | Particle Velocity : Lv | Pressure : Lp | |

dB | m/s^{2} | m/s | m/s | Pa, N/m^{2} |

0 dB | 1 x 10^{-5} | 1 x 10^{-9} | 5 x 10^{-8} | 2 x 10^{-5} |

20 dB | 1 x 10^{-4} | 1 x 10^{-8} | 5 x 10^{-7} | 2 x 10^{-4} |

40 dB | 1 x 10^{-3} | 1 x 10^{-7} | 5 x 10^{-6} | 2 x 10^{-3} |

60 dB | 1 x 10^{-2} | 1 x 10^{-6} | 5 x 10^{-5} | 2 x 10^{-2} |

80 dB | 0.1 | 1 x 10^{-5} | 5 x 10^{-4} | 0.2 |

100 dB | 1.0 | 1 x 10^{-4} | 5 x 10^{-3} | 2.0 |

Table Notes :

0 dB is the reference level for each parameter.

The parameters above use the 20 Lg formulae for example 20 Log10 (P/Po) dB for sound pressure levels.

Sound | Power Level, LW | Intensity Level, LI | Energy Density Level, LE |

dB | Watts | Watts/m^{2} | Joules/m^{3} |

0 dB | 1 x 10^{-12} | 1 x 10^{-12} | 1 x 10^{-12} |

20 dB | 1 x 10^{-10} | 1 x 10^{-10} | 1 x 10^{-10} |

40 dB | 1 x 10^{-8} | 1 x 10^{-8} | 1 x 10^{-8} |

**Degree °** a measure of angles. There are 360 degrees in a full rotation or circle and 90 degrees (90°) is a right angle. The symbol for degree is °

Although in common use, the degree is not part of the International System of Units (SI) the derived unit is the radian. see also angles

**Deltatron ®** trade name for IEPE (integrated electronics piezoelectric).

ρ = m/V where ρ is the density, m is the mass and V is the volume.

SI units: kilogram per cubic metre, kg/m

**Density of air** air density decreases with increasing altitude, as does air pressure.

At sea level and at 20 °C, air has a density of approximately 1.2 kg/m^{3}

At sea level and at 0 °C, air has a density of approximately 1.3 kg/m^{3}

See also stationary signals • transients may also be deterministic.

DFT : Discrete Fourier Transform

Diffraction

Diffraction Factor

Diffuse Field Microphone

**Digital Filter** a digital processor that receives a sequence of input data values, executes an operation on them, and outputs a corresponding sequence of values that have been filtered with respect to the input.

**Digital Filter Analyser** constant percentage (or relative) bandwidth resolution. This is often preferred for acoustic measurements because it best simulates the way in which the human ear perceives sound.

**Digital Signal** unlike an Analogue Signal, which is continuous and contains time-varying quantities, a digital signal has a discrete value at each sampling point.

**Digital Signal Processing (DSP)** is the analysis of digital signal data. The original analogue signal is sampled at regular time intervals, and an Analogue to Digital converter converts the sampled amplitudes into a number series. See also sampling.

**Directivity Factor (Q)** by definition a noise source that radiates uniformly in all directions, spherically has a Q = 1.

Place the same source on the ground so the energy can only radiate hemi-spherically, then the Directivity Factor Q=2.

Place the source on the ground next to a wall so the radiation is concentrated into a 1/4 of the sphere, then Q=4.

If the source is placed on the floor in a corner, the sound energy is further concentrated into 1/8th of a sphere so Q = 8.

**Directivity Index (DI)** is 10 times the logarithm to the base 10 of the Directivity Factor Q.

Say for example we buy a piece of equipment with a sound power rating of 80 dB and we install it in the corner of an empty building. The resultant sound power level radiated into the building would be 80 dB + 10·log(8) = 89 dB.

**Directivity Pattern** graphical description, usually in polar co-ordinates, of the response of the transducer as a function of the direction of the transmitted or incident sound waves in a specified plane and at a specified frequency.

**Discrete** with reference to a spectrum, discrete means consisting of separate distinct points, rather than continuous, see also tonal assessment

**Discrete Fourier Transform (DFT)** mathematical calculation that converts or transforms a sampled and digitised waveform into a sampled spectrum. They reveal periodicities in input data as well as the relative strengths of any periodic components. The fast fourier transform, is an algorithm that allows a computer to calculate the discrete Fourier transform very quickly.

**Displacement** is the change in position of an object in metres and is a Vector quantity.

Displacement (ξ) = v/ω = a/ω^{2}, where v =
velocity, a =
acceleration and ω = 2·π·f = angular frequency.

If Displacement (s) = v/ω and Velocity v = a/ω

it follows that 10 m/s^{2} = 0.01 m/s = 10 μm at 159 Hz

This works for all frequencies, we just chose 159 Hz to keep the numbers simple. We also have a vibration nomogram for downloading.

See also angular displacement • particle acceleration • particle displacement used in acoustic wave theory • particle velocity • standard reference levels table

**Distance** change in position of an object in metres - see also *displacement* above.

● Note : Distortion may result from:

a) non-linear relation between input and output;

b) non-uniform transmission at different frequencies;

c) phase shift not proportional to frequency.

**Distortion** signal components not in the original signal due to non linearities in the system or transmission path.

● Note: *Divergence Loss* exists, for example, for spherical waves emitted by a point source.

Dn : Normalized Level Difference

DnT : Standardized Level Difference

DnT,w : Weighted Standardized Field Level Difference

DnT,w + Ctr : Weighted Standardized Level Difference with Spectrum Adaption Term Ctr

**DOD : Department of Defence - USA**

**Dodecahedron** a general dodecahedron is a polyhedron having 12 faces. Acoustic examples are dodecahedron and hemi-dodecahedron loudspeakers arrange to provide isotropic sound sources.

**Dose related subjects**

DOHR

Dose - Noise

Dose%

Dose Badge

Dose per Hour

Dose - Vibration

Dosimeter

DSP : Digital Signal Processing

Dual Input Room Acoustics Calculator : DIRAC

Dw : Weighted Level Difference

**Dynamic Range** all audio systems are limited by inherent noise at low levels and by overload distortion at high levels. The usable region between these two extremes is the dynamic range of the system. Expressed in dB.

**Dyne** the force that will accelerate a 1 gram mass at the rate of 1 cm/s. The old standard reference level for Sound Pressure was 0.0002 dyne/cm². The same level today is expressed as 20 micro Pascals, or 20 μPa

1 dyne = 1 g·cm/s^{2} = 10^{-5} kg·m/s^{2} = 10 μN

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