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∠t From the plot, we see that when w=2, the product of lun and lu2l becomes maximum Thus, we expect to have the minimum magnitude at the frequency. Also, when w=0 or T, the product of the lengths or the two vectors becomes minimum; thus the magnitude of H(eJu) becomes maximum. The magnitude plot of H(eu) for 0 <w<T is shown below t Although you are not asked to sketch the phase, here is a briefly outline on how to sketch<e =m 1 1 −1 −1 ω × ∠v~1 v~1 × ∠v~2 v~2 −z1 z1 e jω From the plot, we see that when ω = π 2 , the product of |v1| and |v2| becomes maximum. Thus, we expect to have the minimum magnitude at the frequency. Also, when ω = 0 or π, the product of the lengths or the two vectors becomes minimum; thus the magnitude of H(e jω ) becomes maximum. The magnitude plot of H(e jω ) for 0 ≤ ω < π is shown below: |H(e jω )| ω π 2 π Although you are not asked to sketch the phase, here is a briefly outline on how to sketch the phase. 2
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