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It's been many years since I read up on this stuff and my old memory is getting weak. I now remember that what I've said above is wrong. Although it's probably above your head at this stage of your involvement with audio technology, for completeness I'll explain this correctly.
Decibels (dB), a logarithmic ratio, are used to indicate relative voltage and power levels. Sound Pressure Level (SPL) is another logarithmic ratio used to indicate how loud a sound is. Logs are used for 2 reasons:
The ear/brain's response to sound, (and to light level too), is logarithmic. So a 200W amp will not sound 2x as loud as a 100W amp.When dealing with amplification/attenuation it's much more convenient to deal with logs as you can add/subtract instead of multiply/divide to show the level change from an amplification/attenuation stage. Anyone who does any audio engineering soon realises this.Decibels, being ratios, need to have 2 values:
Value_being_measured : Value_being_compared_against.
Often, a letter is added after "dB" to indicate the reference value.
In "dBV", the reference is 1V.in "dBm", the reference is 1 milliwatt into 600 ohms. (An historical value originally used in telephony.) This is a voltage level of 0.775V.In "dBu" ("u" is "unit"). This is similar to dBm with a 0.775V reference level, but the load impedance is unspecified and assumed to be high.In "dBFS", the reference is whatever the Full Scale digital value is for the system.When comparing 2 voltages the formula is:
dB = 20 x log(V_measured/V_ref).
Note: "deciBels" are 1/10th of a Bel ("B") (named after Alexander Graham Bell, the inventor of the telephone). Bels are a bit too large a unit, so normally everyone uses dB.
With negative dB, the value being measured is less than the reference value. Positive dB values indicate that the value being measured is greater than the reference.
-10dbV, the typical metering-reference zero level for consumer audio is 20 x log(V_measured/1V) = 316mV.
4dBu, the metering-reference zero level of professional equipment, is 20 x log(V_measured/0.775V) = 1.23V.
When comparing these two values, we are not using a standard reference value as a reference. Instead we are just comparing two values. So we don't include anything after "dB". 20 x log (0.316/1.23) = 11.8dB. Therefore, 4dBu is approx. 12dB hotter than -10dBV.
Using a -30dB attentuator on a -15dBV signal would drop it to -45dBV. This is much more convenient than saying "dividing 178mV by 31.6 = 5.6mV".
The reference value for "dB SPL" is 2 x 10^-5 Pa, supposedly the lowest pressure level the ear can detect. "Pa" is "Pascal" and is the unit of measure for pressure, here sound pressure.
dB SPL = 20 x log (P_measured/2 x 10^-5)
Working backwards to get the absolute pressure level for 95dB SPL
= 10^(95/20) x 2 x 10^-5 Pa
= 10^4.75 x 2 x 10^-5 Pa
= 5.6 x 10^4 x 2 x 10^-5 Pa
= 1.12 Pa
Note: 1 Pa is 94dB SPL. This is a common SPL used in the sensitivity spec for mics. For example: RØDE Microphones - VideoMic Directional On-camera Microphone
Sensitivity: -38.0dB re 1 Volt/Pascal (12.60mV @ 94 dB SPL) /- 2 dB @ 1kHz
The sensitivity can be restated as -38dBV/Pa. So, at 94dB SPL the output voltage level is -38dBV, which is 12.6mV.
Using this spec and increasing SPL levels, the voltage levels are:
104dB SPL ( 10dB) = 3.16 [i.e. sq-root of 10] x 12.6mV
114dB SPL ( 20db) = 10 x 12.6mV
At this mic's maximum SPL of 134dB SPL ( 40dB) the output voltage would be:
100 x 12.6mV = 1.26V.
This level is too hot for most mic inputs. The mic comes with a 3-step pad: 0dB, -10dB, -20dB. Even using the -20dB setting on this mic, 126mV at 134dB SPL may well be too much for many non-pro mic input circuits.
Dan. |
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