Question: The frequency response of an LTI system is H(e j ) = e j/4 , < . Determine the output of the

The frequency response of an LTI system is 

H(ejω) = e–jω/4,  –π < ω ≤ π.

Determine the output of the system, y[n], when the input is x[n] = cos(5πn/2). Express your answer in as simple a form as you can.

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