The impulse response h[n] of a linear time invariant system is given as
$$h\left[ n \right] = \left\{ {\matrix{ { - 2\sqrt 2 ,} \cr {4\sqrt 2 ,} \cr {0,} \cr } } \right.\matrix{ {n = 1, - 1} \cr {n = 2, - 2} \cr {{\rm{otherwise}}} \cr } $$
If the input to the above system is the sequence $${e^{{{j\pi n} \over 4}}},$$  the output is