As one starts learning signal processing, then comes inevitably the topic of Fourier Transforms. Unfortunately I have difficulties not in computing but in interpreting the results of the Fourier Transforms, in particular being the Continuous-Time Fourier Transform, CTFT, of the signal $x(t)$ which is: $$X(j\omega) = \int_{-\infty}^{\infty}{x(t)e^{j\omega t}dt}$$

Now I wonder what kind of information does this $X(j\omega)$ give about the signal $x(t)$? An example is highly appreciated, if possible.

As one starts learning signal processing, then comes inevitably the topic of Fourier Transforms. Unfortunately I have difficulties not in computing but in interpreting the results of the Fourier Transforms, in particular the one being Continuous-Time Fourier Transform, CTFT, of the signal $x(t)$ which is: $$X(j\omega) = \int_{-\infty}^{\infty}{x(t)e^{-j\omega t}dt}$$

Now I wonder what kind of information does this $X(j\omega)$ give about the signal $x(t)$? An example is highly appreciated, if possible.

What kind of information does fourier transform gives about signal? Please explain it by proper example.

As one starts learning signal processing, then comes inevitably the topic of Fourier Transforms. Unfortunately I have difficulties not in computing but in interpreting the results of the Fourier Transforms, in particular being the Continuous-Time Fourier Transform, CTFT, of the signal $x(t)$ which is: $$X(j\omega) = \int_{-\infty}^{\infty}{x(t)e^{j\omega t}dt}$$

Now I wonder what kind of information does this $X(j\omega)$ give about the signal $x(t)$? An example is highly appreciated, if possible.