Example of Computation of Fourier transform of a CT SIGNAL
A practice problem on CT Fourier transform
Problem 2 Fourier Transfer
$ x(t) = \cos{\pi t} $
$ F(x(t)) = \int_{-\infty}^\infty x(t) e^{-j\omega t}dt $
$ \chi(\omega) = \int_{-\infty}^\infty \cos{(\pi t)} e^{-j\omega t} dt $
$ \chi(\omega) = \int_{-\infty}^\infty \cos{(\pi t)} e^{-j\omega t} dt $
$ = \int_{-\infty}^\infty{ \frac{1}{2} e^{-j\pi t}e^{-j\omega t} dt} + \int_{-\infty}^\infty{ \frac{1}{2} e^{-j\pi t}e^{-j\omega t} dt} ---- [[CT_Fourier_transform_practice_problems_list|Back to Practice Problems on CT Fourier transform]] $
