Consider a continuous-time, real-valued signal $f(t)$ whose Fourier transform $F(\omega)=$$\mathop f\limits_{ - \infty }^\infty $$ f(t) \exp (-j \omega t) d t$ exists. Which one of the following statements is always TRUE?

$|F(\omega)| \leq \mathop f\limits_{ - \infty }^\infty|f(t)| d t$

$|F(\omega)|>\mathop f\limits_{ - \infty }^\infty|f(t)| d t$

$|F(\omega)| \leq \mathop f\limits_{ - \infty }^\infty f(t) d t$

$|F(\omega)| \geq \mathop f\limits_{ - \infty }^\infty f(t) d t$

GATE 2025 Electronics & Communication PYQ — Signals and Systems

GATE 20252025PYQMCQanswer keyexplanationeasy

Signals and Systems · Fourier Transform

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Recurring concept

Fourier Transform has appeared in GATE Electronics & Communication 42 times across 25 years (2016, 2017, 2022, 2023, 2025, ...).