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Noise spectral density

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Title: Noise spectral density  
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Subject: Phase noise, Noise, Effective number of bits, Simulation noise, Sound masking
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Noise spectral density

In communications, noise spectral density N0 is the noise power per unit of bandwidth; that is, it is the power spectral density of the noise. It has dimension of power/frequency (see dimensional analysis), whose SI coherent unit is watts per hertz, which is equivalent to watt-seconds. If the noise is one-sided white noise, i.e., constant with frequency, then the total noise power N in a bandwidth B is BN0, for double-sided white noise, this is doubled, so N is BN0/2. This is utilized in signal-to-noise ratio calculations.

The thermal noise density is given by N0 = kT, where k is Boltzmann's constant in joules per kelvin, and T is the receiver system noise temperature in kelvins.

N0 is commonly used in link budgets as the denominator of the important figure-of-merit ratios Eb/N0 and Es/N0.

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