Question: The input to a causal linear time-invariant system is x[n] = u[?n ? 1] + (1/2) n u[n]. The z-transform of the output of this

The input to a causal linear time-invariant system is

x[n] = u[?n ? 1] + (1/2)nu[n].

The z-transform of the output of this system is?

Y(2) = (1- )(1+z-1)

(a) Determine H(z), the z-transform of the system impulse response. Be sure to specify the region of convergence.

(b) What is the region of convergence for Y(z)?

(c) Determine y[n].

Y(2) = (1- )(1+z-1)

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