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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continuous time signal Fourier transform EC GATE 2025 signal analysis inequality Fourier transform EC gate signal properties Fourier transform properties

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