Changing power of an audio signal to a specific dB

1. How do you convert power into decibels?
2. How is signal power calculated in dB?
3. Is a 3db increase twice as loud?
4. How much more power does +3 dB provide?

How do you convert power into decibels?

Decibels are dimensionless numbers used to represent the ratio of two quantities of power: db = 10 log P₁/P₀ . This is a base 10 logarithm. For the common unit of "dbm" the reference power P₀ is defined as 1 milliwatt : dbm = 10 log P₁/1mw.

How is signal power calculated in dB?

The Decibel explained

The exact relationship is given by the formula Bels = log(P2/P1) , where P2/P1 represents the power ratio.

Is a 3db increase twice as loud?

A 3 dB change yields a 100% increase in sound energy and just over a 23% increase in loudness.

How much more power does +3 dB provide?

A change of 3 dB is accepted as the smallest difference in level that is easily heard by most listeners listening to speech or music. It is a slight increase or decrease in volume. To produce an increase of +3 dB you simply need to double power (watts).