Problem 1. A digital filter has the transfer function: H(z)=\frac{z^{2}+0.75 z+0.125}{z^{2}+0.5625},\quad |z|>0.75 а. Draw a pole-zero plot for this system. b. Is the filter stable and causal? Explain. c. Determine

the the frequency response H(e^jw) and plot the magnitude and phase response for the system.

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