A causal linear shift-invariant system is characterized by the difference equation y(n) = y(n-1) + y(n-2) + x(n)-x(n-1) Find the system function, H(2), and the unit sample response, h(n). Plot the pole-zero plot and the ROC for this system. Is this system stable? Is this system minimum phase? Is this system maximum phase? Briefly explain. Plot the Direct Form I and Direct Form II block diagram realizations for this system. Which realization would be more advantegeous? Why? What is the inverse system transfer function and the inverse system ROC? Is this system: i) a digital filter? ii) an FIR filter? iii) an IIR filter? iv) a causal filter? Briefly explain.