EC > GATE 2025 > Fourier Transform
Consider a continuous-time, real-valued signal f(t) whose Fourier transform F(ω)=∫-∞f(t)exp(-jωt) dt exists.
Which one of the following statements is always TRUE?
A
|F(ω)| ≤ ∫-∞|f(t)|dt
B
|F(ω)| > ∫-∞|f(t)|dt
C
|F(ω)| ≤ ∫-∞f(t)dt
D
|F(ω)| ≥ ∫-∞f(t)dt

Correct : a

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