- Source: Equivalent noise resistance
In telecommunications, an equivalent noise resistance is a quantitative representation in resistance units of the spectral density of a noise-voltage generator, given by
R
n
=
π
W
n
k
T
0
{\displaystyle R_{n}={\frac {\pi W_{n}}{kT_{0}}}}
where
W
n
{\displaystyle W_{n}}
is the spectral density,
k
{\displaystyle k}
is the Boltzmann constant,
T
0
{\displaystyle T_{0}}
is the standard noise temperature (290 K), so
k
T
0
=
4.00
×
10
−
21
[
W
s
]
{\displaystyle kT_{0}=4.00\times 10^{-21}\,[Ws]}
.
Note: The equivalent noise resistance in terms of the mean-square noise-generator voltage, e2, within a frequency increment, Δ f, is given by
R
n
=
e
2
4
k
T
0
Δ
f
.
{\displaystyle R_{n}={\frac {e^{2}}{4kT_{0}\,\Delta f}}.}
This article incorporates public domain material from Federal Standard 1037C. General Services Administration. Archived from the original on 2022-01-22.
See also
Equivalent input noise
Effective input noise temperature
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