Question: . Consider a causal, linear, and time-invariant discrete-time system having a transfer function of 1 1 H(z) for 1>2 and an input signal, {x[n]},

. Consider a causal, linear, and time-invariant discrete-time system having a transfer function of 1 1 H(z) for 1>2 and an input signal, {x[n]}, having a Z-transform of X(z) = = 1_ I 2 1 Z-1 for z>1. What is the constant coefficient difference equation that describes the system? Using the Unilateral Z-transform and the system difference equation what is the closed form solution for the system output given that y[0]=2?

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