Environmental Engineering Reference
In-Depth Information
Noise analysis is thereby a task of how to compute the output noise
power of a given circuit containing a large number of noise sources effi-
ciently and accurately.
In was shown in Chapter 3 that the frequency response of a linear
periodically time-varying system is given by
If the input of a linear periodically time-varying system is a
stochastic process, then the response of the system is also a stochas-
tic process. The autocorrelation function of the response is given by [87]
The two-dimensional power spectral density of denoted by
is defined as the two-dimensional Fourier transform of the autocorrela-
tion function of
[87]
where
and
are the Fourier transform of
and
respectively. Substituting (11.75) into (11.74) gives
Eq.(11.76) is further simplified to
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