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Show that the response of a discrete-time LTI system with impulse response h(n) = (1/2)^n u(n) for input x(n) =(3/n)^n u(n) using DTFT analysis and

    • Show that the response of a discrete-time LTI system with impulse response h(n) = (1/2)^n u(n) for input x(n) =(3/n)^n u(n) using DTFT analysis and synthesis equations is:

    • Y(n) = 3(3/4)^n u(n) -2(1/2)^n u(n).



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