(New page: == A periodic CT signal == Fourier series of x(t): <br> <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> Signal Coefficients: <br> <math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\om...) |
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<math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> | <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> | ||
| − | + | , where a_k is | |
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<math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt</math>. | <math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt</math>. | ||
Revision as of 15:46, 26 September 2008
A periodic CT signal
Fourier series of x(t):
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $
, where a_k is
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.
