Question: Compute the impulse response of the system with transfer function [H(z)=frac{z^{2}}{4 z^{2}-2 sqrt{2} z+1}] supposing that the system is stable.

Compute the impulse response of the system with transfer function

\[H(z)=\frac{z^{2}}{4 z^{2}-2 \sqrt{2} z+1}\]

supposing that the system is stable.

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