Consider the stable LTI system with zeros at z = plus or minus 1/2j and poles at z = 1/3 and z = 2.
a) Sketch the pole-zero plot for the system and the region of convergence (ROC) by shading.
b) Write down the system function H(z) for this system.
c) Write down the difference equation associated with this system.
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The solution includes a sketch of a pole-zero plot and solving for the difference equation for a stable LTI system.