(New page: === Amplitude modulation with pulse-train carrier === y(t)=x(t)c(t) with c(t) be a pulse train <math>C(t)= \sum^{\infty}_{k = -\infty} a_k e^{jk\frac{2\pi}{T}t}</math> Thus Y(W)= <math>...) |
(No difference)
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Revision as of 15:59, 16 November 2008
Amplitude modulation with pulse-train carrier
y(t)=x(t)c(t) with c(t) be a pulse train
$ C(t)= \sum^{\infty}_{k = -\infty} a_k e^{jk\frac{2\pi}{T}t} $
Thus Y(W)= $ \frac{1}{2\pi}X(W)*C(W) $ where $ C(W)= \sum^{\infty}_{k = -\infty} a_k 2\pi\delta(\omega-\frac{2\pi}{T}) $
For k=0,$ a_0 $ is the average of signal over 1 period.
