For the following filter [ f(z)=frac{1.21+1.1 sqrt{2} z+z^{2}}{1.44+1.2 sqrt{2} z+z^{2}} ] (a) Sketch the pole-zero locations and

Question:

For the following filter

\[ f(z)=\frac{1.21+1.1 \sqrt{2} z+z^{2}}{1.44+1.2 \sqrt{2} z+z^{2}} \]

(a) Sketch the pole-zero locations and identify the filter type;

(b) Sketch the amplitude response and label the frequency axis;

(c) State the recursive formula;

(d) Draw the block diagram.

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