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The signal x[n] is the input of an LTI system with impulse function of h[n]. x[n]...

The signal x[n] is the input of an LTI system with impulse function of h[n]. x[n] = (0.4)^n u[n] and h[n] = (0.2)^n u[n].

(a) What is the DTFT of the output of the LTI system?

(b) What are the Energy density spectrums of the input and output signals?

(c) What would be the inverse DTFT: X(w) = 1/(1-0.25e^-j(w-2))

(d) How would part (c) differ for the DTFT: X(w) = 1/(1-0.25e^-j(w-2)) + 1/(1-0.25e^-j(w+2))

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