Consider a DT LTI system with input x[n], output y[n], and unit impulse response h[n]. Determine...

   

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Consider a DT LTI system with input x[n], output y[n], and unit impulse response h[n]. Determine y[n] = x[n] h[n] for the following: (a) x[n] = a-3nu[1-n] and h[n] = b^u[2-n] (where a + b) (b) x[n]u[-2-n] and h[n] =b-2nu[n 1] (where |b| > 1) (c) x[n] =u[1-n] and h[n] = (u[n] - u[n - 51]) (d) x[n] = au[-n] and h[n] = bu[n] (where a + b) * Consider a DT LTI system with input x[n], output y[n], and unit impulse response h[n]. Determine y[n] = x[n] h[n] for the following: (a) x[n] = a-3nu[1-n] and h[n] = b^u[2-n] (where a + b) (b) x[n]u[-2-n] and h[n] =b-2nu[n 1] (where |b| > 1) (c) x[n] =u[1-n] and h[n] = (u[n] - u[n - 51]) (d) x[n] = au[-n] and h[n] = bu[n] (where a + b) *