Question

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].​

Answer 1

Answer:

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Answer 2

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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