Noise power per unit of bandwidth
In communications, noise spectral density (NSD ), noise power density , noise power spectral density , or simply noise density (N 0 ) is the power spectral density of noise or the noise power per unit of bandwidth . It has dimension of power over frequency , whose SI unit is watt per hertz (equivalent to watt-second or joule ).
It is commonly used in link budgets as the denominator of the important figure-of-merit ratios, such as carrier-to-noise-density ratio as well as E b /N 0 and E s /N 0 .
If the noise is one-sided white noise , i.e., constant with frequency, then the total noise power N integrated over a bandwidth B is N = BN 0 (for double-sided white noise, the bandwidth is doubled, so N is BN 0 /2). This is utilized in signal-to-noise ratio calculations.
For thermal noise , its spectral density is given by N 0 = kT , where k is the Boltzmann constant in joules per kelvin, and T is the receiver system noise temperature in kelvins .
The noise amplitude spectral density is the square root of the noise power spectral density, and is given in units such as
V
/
H
z
{\displaystyle \mathrm {V} /{\sqrt {\mathrm {Hz} }}}
.[ 1] [ 2]
See also
References
Noise (physics and telecommunications)
General Noise in... Class of noise Engineering terms Ratios Related topics Denoise methods