(→Computing the Fourier Transform) |
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Compute the Fourier Transform of the signal | Compute the Fourier Transform of the signal | ||
| − | <math>\ x(t)= | + | <math>\ x(t)= \sin(2 \pi t+ \pi/4) </math> |
By definition the Fourier Transform of a signal is defined as: | By definition the Fourier Transform of a signal is defined as: | ||
Revision as of 16:37, 8 October 2008
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 $
