Equivalent noise resistance

In telecommunication, 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}}.}

Federal Standard 1037C. General Services Administration. Archived from the original on 2022-01-22.

See also