Problem 2. For a system whose transfer function is H(z)=\frac{z^{2}+0.75 z+0.125}{z^{2}+0.5625}, \quad|z|>0.75 a. Draw a pole-zero plot for this system. b. Is the filter causal and stable? Explain. c. Find

the inverse z-transform of H(z) and plot the corresponding impulse response h[n] for n =[0, 40].