An ideal lowpass digital filter has the frequency response function H(Ω) = 1, 0 ≤ |Ω| ≤ π 4 0, π 4 < |Ω| < π and H(Ω) = H(Ω+2π) . Compute the output response y when the input x is given by i. x[n] = cos(πn/8)