![]() Hope this helps shed further insight into the usage of decibels. (The air at sea level actually starts going non-linear and “distorting” at about 165 dB SPL.)Īs noted by the prior reference to decibels by Jarno to wikipedia, this mathematical device permits measurements that are more easily understood in terms of simplified quantities of numbers. If I recall correctly, cranking the numbers points up that this is a ratio of 1 to about a trillion from the softest detectable sound to the loudest humans can tolerate. It is based on orders of magnitude, rather than a standard linear scale, so each mark on the decibel scale is the previous mark multiplied by a value. 1 begingroup I think theres a factor of 10 missing from the expression for SNR. For example, if a linear amplifier produces 2 volts (V). It permits a very wide and non-linear range of physical inputs to be reduced to relative terms (hence, the use of the word “ratios”).Īs an example, human hearing has a range of approximately 130 decibels from the softest sound that can be detected, 0 dB Sound Pressure Level (SPL), to the point where the intense motion of the air causes physical pain around 130 dB SPL (note the “SPL” qualifier). If you have a energy/bit ratio in dB, you can get an energy/bit ratio on a linear scale using the 10log10 formula, without taking the square root. It is often convenient to compare two quantities in an audio system using a proportionality ratio. ![]() decibels), provides a mathematical method for aligning measurements with certain human perceptions, e.g. ![]() In other words, a logarithmic scale (i.e.
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