(→Define a periodic CT signal and compute its Fourier series coefficients.) |
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==Define a periodic CT signal and compute its Fourier series coefficients.== | ==Define a periodic CT signal and compute its Fourier series coefficients.== | ||
| + | For CT, | ||
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| + | <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> | ||
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| + | and | ||
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| + | <math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt</math>. | ||
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Let the signal be | Let the signal be | ||
y(t) = 2*sin(2t)+2*cos(2t) | y(t) = 2*sin(2t)+2*cos(2t) | ||
Revision as of 07:50, 25 September 2008
Define a periodic CT signal and compute its Fourier series coefficients.
For CT,
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $
and
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.
Let the signal be
y(t) = 2*sin(2t)+2*cos(2t)
