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The Fourier transform of a function \(f(at)\) is given by

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The Time Scaling Property of Fourier Transform is \[ f(at) \;\xleftrightarrow{\mathcal F}\; \frac{1}{|a|} F\!\left(\frac{\omega}{a}\right). \] Time compression causes frequency expansion, while time expansion causes frequency compression.

Updated On: Jun 25, 2026

\(aF(\omega)\)
\(2aF(\omega)\)
\frac{1}{a}F(\frac{\omega}{a})
\frac{2}{a}F(\omega)

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The Correct Option is C

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The Fourier transform of a function \(f(at)\) is given by

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The Correct Option is C

Solution and Explanation

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