(→Define a periodic DT signal and compute its Fourier series coefficients.) |
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==Define a periodic DT signal and compute its Fourier series coefficients. == | ==Define a periodic DT signal and compute its Fourier series coefficients. == | ||
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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> | ||
Revision as of 10:16, 25 September 2008
Define a periodic DT signal and compute its Fourier series coefficients.
For DT,
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $
where
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.
Let the signal be
