Question: Consider an LTI system with frequency response H(e j ) = e j [(/2) + (/4)] , < . Determine y[n],

Consider an LTI system with frequency response 

H(e jω) = e–j [(ω/2) + (π/4)],  – π < ω ≤ π.

Determine y[n], the output of this system, if the input is

x[n] = cos (15πn/4 – π/3) 

for all n,

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