3. (30 pts) Consider the following discrete-time LTI system: x[n] hin where x[n] = sin(n+7) and h₁ [n] = h2[n] = (½)¹u[n
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3. (30 pts) Consider the following discrete-time LTI system: x[n] hin where x[n] = sin(n+7) and h₁ [n] = h2[n] = (½)¹u[n
3. (30 pts) Consider the following discrete-time LTI system: x[n] hin where x[n] = sin(n+7) and h₁ [n] = h2[n] = (½)¹u[n]. (a) (10 pts) Find the overall frequency response of this system. (b) (10 pts) Find the Fourier Transform of the input, x[n]. (c) (10 pts) Find the Fourier Transform of the output, y[n]. h₂ [n] y[n]
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