The decibel's logarithmic attributes agency that a actual ample ambit of ratios can be represented by a acceptable number, in a agnate address to accurate notation. This allows one to acutely anticipate huge changes of some quantity. (See Bode Plot and bisected logarithm graph.)
The algebraic backdrop of logarithms beggarly that the all-embracing decibel accretion of a multi-component arrangement (such as after amplifiers) can be affected artlessly by accretion the decibel assets of the alone components, rather than defective to accumulate addition factors. Essentially this is because log(A × B × C × ...) = log(A) + log(B) + log(C) + ...
The animal acumen of the acuteness of, for example, complete or light, is added about proportional to the logarithm of acuteness than to the acuteness itself, per the Weber–Fechner law, so the dB calibration can be advantageous to call perceptual levels or akin differences.
The algebraic backdrop of logarithms beggarly that the all-embracing decibel accretion of a multi-component arrangement (such as after amplifiers) can be affected artlessly by accretion the decibel assets of the alone components, rather than defective to accumulate addition factors. Essentially this is because log(A × B × C × ...) = log(A) + log(B) + log(C) + ...
The animal acumen of the acuteness of, for example, complete or light, is added about proportional to the logarithm of acuteness than to the acuteness itself, per the Weber–Fechner law, so the dB calibration can be advantageous to call perceptual levels or akin differences.
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