i need the application of Fourier transform in finding frequency response in mathematical terms

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    Commented Nov 2, 2021 at 5:01

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If you have an LTI system with an input signal $x(t)$ and an output signal $y(t)$ the transfer function can be found as

$$H(\omega) = \frac{\mathcal{F}\{y(t)\}}{\mathcal{F}\{x(t)\}}$$

where $\mathcal{F}\{\}$ denotes the Fourier Transform.


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