GATE Electrical Engineering (EE) 2023 Solved Paper

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Question : 18 of 65

Marks: +1, -0

The Fourier transform 𝑋(𝜔) of the signal 𝑥(𝑡) is given by
𝑋(𝜔) = 1, for |𝜔| < 𝑊₀
= 0, for |𝜔| > 𝑊₀

𝑥(𝑡) tends to be an impulse as 𝑊₀ → ∞
𝑥(0) decreases as 𝑊₀ increases.
At $t = \;{π\;}/{2W_{0}},x(t) = −\;{1}/{π\;}$
At $t = \;{π\;}/{2W_{0}},x(t) = \;{1}/{π\;}$

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