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A wide-sense stationary process X(t) is the input to a linear system whose impulse response is h(t)=2e^(-7t), t≥0. If the autocorrelation function of the process is Rₓₓ(τ)¼e^ (-…

A wide-sense stationary process X(t) is the input to a linear system whose impulse response is h(t)=2e^(-7t), t≥0. If the autocorrelation function of the process is Rₓₓ(τ)¼e^ (-…
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A wide-sense stationary process X(t) is the input to a linear system whose impulse response is h(t)=2e^(-7t), t≥0.

If the autocorrelation function of the process is Rₓₓ(τ)¼e^ (-4|τ|) and the output process is Y(t), find the following:
The power spectral density of Y(t).

asked
User Fabian Kleiser
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8.4k points

1 Answer

2 votes

Answer:

The power spectral density of Y(t) is Syy(w) =
(32)/((4+w^2)(16+w^2))

Step-by-step explanation:

A wide-sense stationary process X(t) is the input to a linear system whose impulse-example-1
A wide-sense stationary process X(t) is the input to a linear system whose impulse-example-2
answered
User Nishant Mendiratta
by
7.9k points
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