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# Equivalent noise resistance

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 Title: Equivalent noise resistance Author: World Heritage Encyclopedia Language: English Subject: Collection: Noise Publisher: World Heritage Encyclopedia Publication Date:

### 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 = \frac {\pi W_n}{k T_0} where W_n is the spectral density, k is the Boltzmann's constant, T_0 is the standard noise temperature (290 K), so 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 = \frac{e^2}{4 k T_0\,\Delta f}.