Net Power: Difference between revisions

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[[Net Power]] is defined as [[Forward Power]] minus the [[Reflected Power]]. This document describes the formula's that should be used to correctly calculate the [[Net Power]].
[[Net Power]] is defined as [[Forward Power]] minus the [[Reflected Power]]. This document describes the formula's that should be used to correctly calculate the [[Net Power]].


{| border=1
The [[Net power]] always has to be calculated in linear power values. It is not possible to calculate the [[Net power]] directly from logarithmic values (dBW, dBm, dBpW, ...) without converting them to linear power values.
|+ '''''Given information'''''
|-
! Frequency [MHz]
! Forward Power [dBm]
! Reflected Power [dBm]
|-
! 201,973 || 50 || 30
|}


'''Question:''' What is the Net Power?
The following formulas should thus be used:


'''Answer:''' 49,95635195 dBm
<math>P[W] =  10^{\frac{P[dBW]}{10}}</math> or <math>P[mW] =  10^{\frac{P[dBm]}{10}}</math>


== The calculation ==
{{Formula||1|Logarithmic power value to linear power value}}
First you calculate the dBm values to linear values.
 
<math>P_{net}[W] = P_{fwd}[W] - P_{refl}[W]</math>
 
{{Formula||2|Net power calculation from forward and reflected power}}


<math> 50 \ dBm = 10^{\frac{50}{10}} \ mW = 100\ W</math>
<math>P[dBW] = 10 * ^{10}log(P[W])</math> or <math>P[dBm] = 10 * ^{10}log(P[mW])</math>


{{Formula||1|Logarithmic power value to linear power value}}
<math>P[dBm] = P[dBW] + 30</math>
 
{{Formula||3|Linear power value to logarithmic power value}}
 
== Example ==
Let's assume that on a certain frequency (for example: 201,973 MHz), a forward power of 50 dBm is measured, with a reflected power of 30 dBm.
 
First the power values should be calculated from dBm values to linear values.


<math> 30 \ dBm = 10^{\frac{30}{10}} \ mW = 1\ W</math>
<math> 50 \ dBm = 10^{\frac{50}{10}} \ mW = 1E+5 mW = 100\ W</math>


Subtract the linear values
<math> 30 \ dBm = 10^{\frac{30}{10}} \ mW = 1000 mW = 1\ W</math>


<math>P_{net} = P_{fwd}[W] - P_{refl}[W] = 100 [W] - 1 [W] = 99 \ W</math>
Then the net power should be calculated by subtracting the linear values


{{Formula||2|Net power calculation from forward and reflected power}}
<math>P_{net} = P_{fwd}[W] - P_{refl}[W] = 100 W - 1 W = 99 \ W</math>


Convert the value to dBm again:
And the linear value should be converted to a dBm value again:


<math>10 * log10(99 * 1000) \approx  49,95635195 \ dBm</math>
<math>P[dBW] = 10 * ^{10}log(99 W) \approx  19,95635195 \ dBW</math> \approx  49,95635195 \ dBm</math>


{{Formula||3|Linear power value to logarithmic power value}}
The [[Net Power]] of 50 dBm forward and 30 dBm reflected power is thus 49,96 dBm.


[[Category:RadiMation]]
[[Category:RadiMation]]
[[Category:Calculation]]
[[Category:Calculation]]

Revision as of 20:29, 20 January 2009

Net Power is defined as Forward Power minus the Reflected Power. This document describes the formula's that should be used to correctly calculate the Net Power.

The Net power always has to be calculated in linear power values. It is not possible to calculate the Net power directly from logarithmic values (dBW, dBm, dBpW, ...) without converting them to linear power values.

The following formulas should thus be used:

or

Formula -1: Logarithmic power value to linear power value

Formula -2: Net power calculation from forward and reflected power

or

Formula -3: Linear power value to logarithmic power value

Example[edit]

Let's assume that on a certain frequency (for example: 201,973 MHz), a forward power of 50 dBm is measured, with a reflected power of 30 dBm.

First the power values should be calculated from dBm values to linear values.

Then the net power should be calculated by subtracting the linear values

And the linear value should be converted to a dBm value again:

\approx 49,95635195 \ dBm</math>

The Net Power of 50 dBm forward and 30 dBm reflected power is thus 49,96 dBm.