*dBm*is a logarithmic measurement of power that is used in telecommunications as a more convenient form of power measurement than the linear Watt (

*W*) that most people are familiar with.

*dB*is a measurement value that represents the ratio of two powers :

*dBm*is the power ratio in decibels (

*dB*) between the measured power and the reference power of one milliwatt (

*mW*).

In a telecoms systems the transmit power is driving the channel impedence, which in audio telephony is typically 600 ohm, while in wireless applications 50 ohms is the most common.

Note that while

*dB*is a relative measurement between the two powers (e.g. input and output),

*dBm*is absolute because it is measured relative (if that makes sense) to a fixed reference power of 1

*mW*.

Being a logarithmic scale,

*dBm*is really handy for calculating powers through a network so for example in audio telephony, a -13

*dBm*Tx power would be seen as -55

*dBm*at the receiver if the channel attenuation were 42

*dB*.

The following table shows some typical

*dBm / mW*values used in mobile comms.

*dBm*

*mW*

36 4000 (i.e. 4

*W*) Typical macrocell basestation Tx power

30 1000

26 400 Typical mobile phone or indoor office basestation Tx power

20 100

16 40 Typical residential small basestation Tx power

10 10

6 4

3 2

1 1

-3 0.5

-10 0.1 Typical maximum received signal power

-60 10^-6 Typical minimum receive power to be able to detect a signal (in mobile comms, without a front end AGC)

The key things to learn from the table are the following :

The absolute power doubles for a 3

*dB*increase and halves for a 3

*dB*drop.

The absolute power is multiplied by 10 for a 10

*dB*increase. So a 20

*dB*increase is equivalent to absolute power being multiplied by 100.

Given that Power = (

*V^2 / R*) then the voltage increases by sqrt(2) for a 3

*dB*increase. Hence a 6

*dB*increase is required in order for the voltage (or current for which power =

*I^2.R*) to double.

If you would like to read more on the subject Rohde And Schwartz have written a very good applications note called dB or not dB? Everything you ever wanted to know about decibels but were afraid to ask.

Also, if you would like to quickly cross-convert from dB to linear and V.V., this is a great resource: https://www.daycounter.com/Calculators/Decibels-Calculator.phtml.

If you have found this solution useful then please do hit the Google (+1) button so that others may be able to find it as well.

Numerix-DSP Libraries : http://www.numerix-dsp.com/eval/

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