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Back to the Basics - Understanding Decibels
Decibel is used to make comparisons between two measures, as such is not an absolute quantity.
The decibel scale is also logarithmic, not linear.
Logarithms are useful because extremely large and extremely small numbers are easier to express. The difference between the two numbers is not related to the numbers themselves. The advent of the scientific calculator has made the use of logarithms very easy.
The equation by which a precise value of power gain in decibels may be determined from the power ratio, P2/P1. The equation is: Gain (dB) = 10 x log10(P2/P1).
Although we stated at the beginning that decibels are used to make comparisons between two measures, as such is not an absolute quantity. They can represent a specific level when one of the levels is a reference number. In audio we often see these levels….
dBu represents the level compared to the voltage level 0.775 Volts RMS with an unloaded, open circuit, source (u = unloaded).
dBm represents the power level compared to 1 mWatt. This is a level compared to 0.775 Volts RMS across a 600 Ohm load impedance. Note that this is a measurement of power, not a measurement of voltage.
When working with digital audio we use dBFS which is the level relative to digital full scale. 0 dBFS is the maximum level allowed before clipping occurs. At this level all the bits in the digital word are one’s thus any audio higher than that will cause severe distortion in the analog to digital converter.
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