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== AM Demodulation == | == AM Demodulation == | ||
+ | <math>r(n)= x(n)*cos^2(n \theta)= \frac{1}{2} x(n) + \frac{1}{2}x(n)*cos(2n\theta)</math><br> | ||
+ | |||
+ | <math>x(t)*cos(\frac{\pi t}{4})</math> ⇒ <math>\frac{1}{2}[X(e^{j(\theta - \pi/4)}) | ||
+ | + X(e^{j(\theta + \pi/4)}) ]</math>.<br> | ||
[[Image:Hw9_ECE301Fall2008mboutin.JPG]] | [[Image:Hw9_ECE301Fall2008mboutin.JPG]] |
Revision as of 11:21, 17 November 2008
AM Demodulation
$ r(n)= x(n)*cos^2(n \theta)= \frac{1}{2} x(n) + \frac{1}{2}x(n)*cos(2n\theta) $
$ x(t)*cos(\frac{\pi t}{4}) $ ⇒ $ \frac{1}{2}[X(e^{j(\theta - \pi/4)}) + X(e^{j(\theta + \pi/4)}) ] $.