How to convert db to magnification

n db = 20*log(a1 a2), where a1 a2 refers to the magnification.

So a1 a2 = 10 ( n db 20).

n db = 10 * log (magnification), magnification = 10 (n db 10).

The conversion formula between magnification and gain DB is 20 LGA, DB=10log(P1 P2)=20log(V1 V2) (P represents power, V represents voltage).

The ratio of the amplifier output to the input is the magnification factor, the unit is "times", such as 10x amplifier, 100x amplifier. When the unit of "decibels" is used instead, the magnification is called gain, which is two names for the concept. DB is basically a proportional value, which is a unit of expression for multiples.

This is a representation of the relative difference between the test data and the reference standard.

Formula: db=10log(p1 p2)=20log(v1v2) (p represents power, v represents voltage). The formula for converting the amplification factor to decibels is:

20 LGA, where A is the amplification factor, so when the magnification of the circuit is 85, the conversion equation is: 20 LG85=20. i.e. k (unit:

db) = 20 LGA, i.e. magnification A = 10 (db 20).

DB can be defined in two ways:

1. Definition of voltage (current) amplification decibels: k = 20lg (VO VI), where K is the decibel number of magnification, VO is the amplification signal output, and VI is the signal input.

2. Definition of the number of decibels of power amplification: k = 10lg (po pi), where k is the decibel number of the amplification, po is the output of the amplified signal, and pi is the signal input.

3. k>0 means that the signal is amplified, k=0 signal is pass-through, and k<0 means that the signal is attenuated.

As the input frequency rises, the voltage amplification factor of the amplifier circuit will decrease, and the position when the voltage amplitude drops to multiple of the maximum value is the cut-off frequency. At this time, the power value is exactly half of the maximum power, so it is also called a half power point.

It is expressed as a drop of exactly 3db (calculated according to the voltage amplitude: 20log(, calculated according to the power: 10log(, the corresponding frequency is called the upper cut-off frequency, also known as -3db bandwidth.