Assume that X(t) is input to a LTI filter with impulse response
h(t) e u(t)
at
. Let X(t) be a white Gaussian noise with SX(f)=N0/2. Let
Y(t) be the output of the filter.
Consider the range of frequency “f” for the H(f) may be any number
which can be divided by 5
(i) Find H(f).
(ii) Find SY(f).
(iii)Find RY(τ).
Find E[Y(t)2].
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Answer:
Assume that X(t) is input to a LTI filter with impulse response
h(t) e u(t)
at
. Let X(t) be a white Gaussian noise with SX(f)=N0/2. Let
Y(t) be the output of the filter.
Consider the range of frequency “f” for the H(f) may be any number
which can be divided by 5
(i) Find H(f).
(ii) Find SY(f).
(iii)Find RY(τ).
Find E[Y(t)2].
Explanation:
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