Problem 1 [100 points] Consider the discrete time impulse response h(n)=2"u(n-2). 1) Find the transfer function H(2), th
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Problem 1 [100 points] Consider the discrete time impulse response h(n)=2"u(n-2). 1) Find the transfer function H(2), that is, the Z-transformation of h(n), and plot the region of [50 points] convergence. 2) Based on the transfer function H(2), determine if the system is causal, anti-causal, or non- [25 points] causal. [25 points) 3) Based on the transfer function H(-), determine if the system is stable.
Problem 1 [100 points] Consider the discrete time impulse response h(n)=2"u(n-2). 1) Find the transfer function H(2), that is, the Z-transformation of h(n), and plot the region of [50 points] convergence. 2) Based on the transfer function H(2), determine if the system is causal, anti-causal, or non- [25 points] causal. [25 points) 3) Based on the transfer function H(-), determine if the system is stable.