The impulse response $h|n|$ of a linear time invariant system is given as
\[h[n]=\left\{\begin{array}{cc}
-2 \sqrt{2} & n=1,-1 \\
4 \sqrt{2} & n=2,-2 \\
0, & \text { otherwise }
\end{array}\right.\]
If the input to the above system is the sequence $\mathrm{e}^{j \pi n / 4}$, then the output is
- $4 \sqrt{2} e^{j \pi n / 4}$
- $4 \sqrt{2} e^{j \pi n / 4}$
- $4 e^{j \pi n / 4}$
- $-4 e^{j \pi n / 4}$