The following is known about a discrete-time LTI system with input x[n] and output y[n]
Chapter 10, Problem 10.47(choose chapter or problem)
The following is known about a discrete-time LTI system with input x[n] and output y[n]: 1. If x[n] = ( -2)n for all n, then y[n] = 0 for all n. 2. If x[n] = (112)nu[n] for all n, then y[n] for all n is of the form y[n] = ll[n] +a(~)" u[n], where a is a constant. (a) Determine the value of the constant a. (b) Determine the response y[n] if the input x[n] is x[n] = 1, for all n.
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