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Practice over 1000+ GATE-level questions from this topic!

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Q#1 Fourier Transform GATE EC 1993 MCQ +2 marks -0.66 marks

Consider the following interconnection of the three LTI systems (figure), ,  and  are the impulse responses of these three LTI systems with ,  and  as their respective Fourier transforms. Given that

, and

Find the output y(t)

\( \scriptstyle y(t) = \sin\left[ \frac{\omega_0 t}{4} \right] \)

\( \scriptstyle y(t) = \cos\left[ \frac{\omega_0 t}{4} \right] \)

\( \scriptstyle y(t) = \sin\left[ \frac{\omega_0 t}{2} \right] \)

\( \scriptstyle y(t) = \cos\left[ \frac{\omega_0 t}{2} \right] \)

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