Editing Noise temperature (section)

==Noise factor and noise figure==
{{main|Noise figure}}
One use of noise temperature is in the definition of a system's [[Noise figure|noise factor]] or [[noise figure]]. The noise factor specifies the increase in noise power (referred to the input of an amplifier) due to a component or system when its input noise temperature is <math> T_{0}</math>.

:<math>F = \frac{T_0 + T_\text{E}}{T_0}</math>

<math>T_0</math> is customarily taken to be room temperature, 290&nbsp;K.

The noise factor (a linear term) is more often expressed as the ''noise figure'' (in [[decibels]]) using the conversion:
:<math>NF = 10 \log_{10} (F)</math>

The noise figure can also be seen as the decrease in [[signal-to-noise ratio]] (SNR) caused by passing a signal through a system if the original signal had a noise temperature of 290&nbsp;K. This is a common way of expressing the noise contributed by a radio frequency amplifier regardless of the amplifier's gain. For instance, assume an amplifier has a noise temperature 870&nbsp;K and thus a noise figure of 6&nbsp;dB. If that amplifier is used to amplify a source having a noise temperature of about room temperature (290&nbsp;K), as many sources do, then the insertion of that amplifier would reduce the SNR of a signal by 6&nbsp;dB. This simple relationship is frequently applicable where the source's noise is of thermal origin since a passive transducer will often have a noise temperature similar to 290&nbsp;K.

However, in many cases the input source's noise temperature is much higher, such as an antenna at lower frequencies where atmospheric noise dominates. Then there will be little degradation of the SNR. On the other hand, a good satellite dish looking through the atmosphere into space (so that it sees a much lower noise temperature) would have the SNR of a signal degraded by ''more'' than 6&nbsp;dB. In those cases a reference to the amplifier's noise temperature itself, rather than the noise figure defined according to room temperature, is more appropriate.