(New page: ==Computing the Fourier Transform== Compute the Fourier Transform of the signal <math>\ x(t)= sin(9 \pi t+ \pi/6) </math>) |
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Compute the Fourier Transform of the signal | Compute the Fourier Transform of the signal | ||
| − | <math>\ x(t)= sin( | + | <math>\ x(t)= t \sin(2 \pi t+ \pi/4) </math> |
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| + | By definition the Fourier Transform of a signal is defined as: | ||
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| + | <math>X(\omega)=\int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt</math> | ||
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| + | First espressing the signal in as a fourier series: | ||
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| + | <math>\ x(t)=\sin(9 | ||
Revision as of 16:22, 8 October 2008
Computing the Fourier Transform
Compute the Fourier Transform of the signal
$ \ x(t)= 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 $
