Computing the Fourier Transform
Compute the Fourier Transform of the signal
$ \ x(t)= \sin(2 \pi t+ \pi/4) $
By definition the Fourier Transform of a signal is defined as:
$ X(\omega)=\int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt $
First espressing the signal in as a fourier series:
$ \ x(t)=\sin(9 $
