GATE EC 2015 Set 2 — Question 54

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NAT+2 / -0MediumC-V CharacteristicsMOS Capacitor & MOSFETElectronic Devices

Electronic Devices → MOS Capacitor & MOSFET → C-V Characteristics

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Consider two real sequences with time-origin marked by the bold value,x1[n]={1,2,3,0},x2[n]={1,3,2,1}x_1[n] = \{\mathbf{1}, 2, 3, 0\},\quad x_2[n] = \{\mathbf{1}, 3, 2, 1\}Let X1(k)X_1(k) and X2(k)X_2(k) be 4-point DFTs of x1[n]x_1[n] and x2[n]x_2[n], respectively.
Another sequence x3[n]x_3[n] is derived by taking 4-point inverse DFT of X3(k)=X1(k)X2(k)X_3(k) = X_1(k)X_2(k).
The value of x3[2]x_3[2] is ______.
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