(New page: ==Fourier Transform== Let <math>x(t)=sin(\pi t) + cos(2\pi t) </math> Remember that the formula for CT Fourier Series are: <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> ...) |
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Revision as of 06:09, 25 September 2008
Fourier Transform
Let $ x(t)=sin(\pi t) + cos(2\pi t) $
Remember that the formula for CT Fourier Series are:
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.